Equation

Problem 2801

The credit card with the transactions described on the right uses the average daily balance method to calculate interest. The monthly interest rate is 1.5%1.5 \% of the average daily balance. Calculate parts a-d using the statement on the right. \begin{tabular}{|l|l|} \hline Transaction Description & \begin{tabular}{l} Transaction \\ Amount \end{tabular} \\ \hline Previous balance, $6330.00\$ 6330.00 & \\ \hline March 1 Billing date & \\ \hline March 5 Payment & $350.00\$ 350.00 credit \\ \hline March 7 Charge: Restaurant & $60.00\$ 60.00 \\ \hline March 12 Charge: Groceries & $90.00\$ 90.00 \\ \hline March 21 Charge: Car Repairs & $230.00\$ 230.00 \\ \hline March 31 End of billing period & \\ \hline Payment Due Date: April 9 & \\ \hline \end{tabular} a. Find the average daily balance for the billing period. Round to the nearest cent.
The average daily balance for the billing period is $\$ (Round to the nearest cent as needed.) b. Find the interest to be paid on April 1, the next billing date. Round to the nearest cent.
The interest to be paid on April 1 is $\$ (Use the answer from part a to find this answer. Round to the nearest cent as needed.) c. Find the balance due on April 1.
The balance due on April 1 is $\$ \square

See Solution

Problem 2802

The credit card with the transactions described on the right uses the average daily balance method to calculate interest. The monthly interest rate is 1.5%1.5 \% of the average daily balance. Calculate parts a-d using the statement on the right. \begin{tabular}{|l|l|} \hline Transaction Description & \begin{tabular}{l} Transaction \\ Amount \end{tabular} \\ \hline Previous balance, $6330.00\$ 6330.00 & \\ \hline March 1 Billing date & \\ \hline March 5 Payment & $350.00\$ 350.00 credit \\ \hline March 7 Charge: Restaurant & $60.00\$ 60.00 \\ \hline March 12 Charge: Groceries & $90.00\$ 90.00 \\ \hline March 21 Charge: Car Repairs & $230.00\$ 230.00 \\ \hline March 31 End of billing period & \\ \hline Payment Due Date: April 9 & \\ \hline \end{tabular}
The balance due on April 1 is $6453.20\$ 6453.20. (Use the answer from part bb to find this answer.) d. This credit card requires a $10\$ 10 minimum monthly payment if the balance due at the end of the billing period is less than $360\$ 360. Otherwise, the minimum monthly payment is 136\frac{1}{36} of the balance due at the end of the billing period, rounded up to the nearest whole dollar. What is the minimum monthly payment due by April 9 ?
The minimum monthly payment is $\$ \square (Use the answer from part c to find this answer. Round up to the nearest dollar.)

See Solution

Problem 2803

Michelle practiced all week to improve her typing speed. She estimated she could type 27 words per minute. When she took her typing test, she actually typed 30 words per minute. What is the percent error for Michelle's estimate?
If necessary, round your answer to the nearest tenth of a percent. \square
Submit

See Solution

Problem 2804

dxdy=Axwithx(0)=x0\frac{dx}{dy} = Ax \quad \text{with} \quad x(0) = x_0 where A=[32121232],x0=[1212]A = \begin{bmatrix} -\frac{3}{2} & \frac{1}{2} \\ \frac{1}{2} & -\frac{3}{2} \end{bmatrix}, \quad x_0 = \begin{bmatrix} \frac{1}{2} \\ \frac{1}{2} \end{bmatrix}

See Solution

Problem 2805

52. The interior diameter and interior height of a cylindrical container are given in inches in the figure below. Water will be poured into the empty container at a rate of 40π40 \pi cubic inches per minute. At this rate, in exactly how many minutes will the container be completely filled? (Note: The volume of a cylinder with radius rr and height hh is πr2h\pi r^{2} h.) F. 16 G. 20 H. 24 J. 40 K. 64

See Solution

Problem 2806

Which expression represents the determinant of A=[6742]A=\left[\begin{array}{cc}-6 & -7 \\ -4 & -2\end{array}\right] ? det(A)=(4)(7)(6)(2)\operatorname{det}(A)=(-4)(-7)-(-6)(-2) det(A)=(4)(7)+(6)(2)\operatorname{det}(A)=(-4)(-7)+(-6)(-2) det(A)=(6)(2)(4)(7)\operatorname{det}(A)=(-6)(-2)-(-4)(-7) det(A)=(6)(2)+(4)(7)5\operatorname{det}(A)=(-6)(-2)+(-4)(-7)^{5}

See Solution

Problem 2807

EUROPEAN CURRENCY € 1,000 €1 : C\$1.41
How many Canadian dollars?  CANADIAN  DOLLARS C$ Round your final answer  to two decimal laces. \begin{array}{l} \text { CANADIAN } \\ \text { DOLLARS } C \$ \\ \begin{array}{l} \text { Round your final answer } \\ \text { to two decimal laces. } \end{array} \end{array} 1%1 \% commission

See Solution

Problem 2808

μs\mu_{\mathrm{s}} for all surfaces is 0.2 Determine the magnitude of force F\mathbf{F}

See Solution

Problem 2809

College student spends studying each week. They take a simple random sample of 91 students and compute a sample mean of 5.4 hours per week with a standard deviation of 1.2 hours. Find the 95%95 \% confidence interval for the population mean. Follow the PANIC acronym and answer each part.

See Solution

Problem 2810

g) xx2+1x+4=2x26x+8\frac{x}{x-2}+\frac{1}{x+4}=\frac{2}{x^{2}-6 x+8}

See Solution

Problem 2811

Look at this graph:
What is the equation of the axis of symmetry? \square Submit

See Solution

Problem 2812

Balancing chemical equations with interfering coemicents
Balance the chemical equation below using the smallest possible whole number stoichiometric coefficients. Fe(s)+O2(g)+H2O(l)Fe(OH)2(aq)\mathrm{Fe}(s)+\mathrm{O}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{Fe}(\mathrm{OH})_{2}(a q)

See Solution

Problem 2813

Draw the shear force and bending moment diagram for the beam below. Let P=800 N,a=5 m\mathrm{P}=800 \mathrm{~N}, \mathrm{a}=5 \mathrm{~m}, and L=12 m\mathrm{L}=12 \mathrm{~m}.

See Solution

Problem 2814

Find the equation of the line with the given properties. Sketch the graph of the line. The line passes through (8,3)(-8,3) and is perpendicular to the yy-axis.

See Solution

Problem 2815

5. Parker needs 2.4 yards of ribbon. Each yard of ribbon costs $0.90\$ 0.90. Shade the grid to model the product. How much will the ribbon cost?

See Solution

Problem 2816

The cost to attend a public university in a recent year is $14,965. The circle graph to the right shows the percentage of that cost for tuition/fees, room, board, and computer costs. Determine the cost, in dollars, for each category.\text{The cost to attend a public university in a recent year is } \$14,965. \text{ The circle graph to the right shows the percentage of that cost for tuition/fees, room, board, and computer costs. Determine the cost, in dollars, for each category.}
The cost of tuition and fees is $.\text{The cost of tuition and fees is } \$ \square. (Round to the nearest cent as needed.)\text{(Round to the nearest cent as needed.)} The cost of room is $.\text{The cost of room is } \$ \square. (Round to the nearest cent as needed.)\text{(Round to the nearest cent as needed.)} The cost of board is $.\text{The cost of board is } \$ \square. (Round to the nearest cent as needed.)\text{(Round to the nearest cent as needed.)} The computer costs are $.\text{The computer costs are } \$ \square. (Round to the nearest cent as needed.)\text{(Round to the nearest cent as needed.)}
Cost to Attend a Public University\text{Cost to Attend a Public University}  Tuition/Fee\square \text{ Tuition/Fee} Room 34.7\text{Room 34.7} Board 23.4\text{Board 23.4} Computer\text{Computer}
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
Dialogue Transcript:\text{Dialogue Transcript:}
Hi there! It looks like you’re working on a problem related to the cost breakdown of attending a public university. To help you determine the costs for each category like tuition/fees, room, board, and computer costs, I need the specific percentage for tuition/fees and computer costs. You mentioned the percentage for room (34.7%) and board (23.4%) but didn’t provide the percentages for the other categories.\text{Hi there! It looks like you're working on a problem related to the cost breakdown of attending a public university. To help you determine the costs for each category like tuition/fees, room, board, and computer costs, I need the specific percentage for tuition/fees and computer costs. You mentioned the percentage for room (34.7\%) and board (23.4\%) but didn't provide the percentages for the other categories.}
Could you please provide those percentages? Once you have that info, I can guide you through the calculations!\text{Could you please provide those percentages? Once you have that info, I can guide you through the calculations!}
Extracted text from attached image:\text{Extracted text from attached image:}
Cost to Attend a Public University\text{Cost to Attend a Public University}

See Solution

Problem 2817

Complete the factoring. x2+10x+24x^{2}+10 x+24 x2+10x+24=(x+4)(x^{2}+10 x+24=(x+4)( \square )

See Solution

Problem 2818

Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 3 & 15 \\ \hline 4 & 31 \\ \hline 5 & 47 \\ \hline 6 & 63 \\ \hline \end{tabular}
Write your answer as an equation with y first, followed by an equals sign.

See Solution

Problem 2819

Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 37 & 42 \\ \hline 41 & 46 \\ \hline 65 & 70 \\ \hline 72 & 77 \\ \hline \end{tabular}
Write your answer as an equation with y first, followed by an equals sign.

See Solution

Problem 2820

Write the linear equation that gives the rule for this table. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-78 & 78 \\ \hline-40 & 40 \\ \hline-2 & 2 \\ \hline 36 & -36 \\ \hline \end{tabular}
Write your answer as an equation with y first, followed by an equals sign.

See Solution

Problem 2821

(1 point) Setup the Riemann sum abf(x)dx=limnk=1nf(xˉk)Δx\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{k=1}^{n} f\left(\bar{x}_{k}\right) \Delta x for the given integral. Answer: 38x3dx=limnk=1n\int_{3}^{8} x^{3} d x=\lim _{n \rightarrow \infty} \sum_{k=1}^{n}

See Solution

Problem 2822

Determine whether the relation y=6x+12 y = 6x + 12 defines y y as a function of x x . Also, provide the domain of the function.

See Solution

Problem 2823

Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for mm, the grea integer? m(m3)=108m(m-3)=108 m(m+3)=108m(m+3)=108 (m+3)(m3)=108(m+3)(m-3)=108 (m12)(m9)=108(m-12)(m-9)=108

See Solution

Problem 2824

InIs question: 1 point(S) possible
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 39 of the 45 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 89 of the 105 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rinovirus infections. Complete parts (a) through (c) below.
Identify the P -value. P -value =0.764=0.764 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P -value is \square greater than the significance level of α=0.01\alpha=0.01, so reject \square the null hypothesis. There is not sufficient evidence to support the claim that echinacea treatment has an effect. b. Test the claim by constructing an appropriate confidence interval.
The 99%99 \% confidence interval is 0.143<(p1p2)<0.181-0.143<\left(p_{1}-p_{2}\right)<0.181. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits \square 0 , there \square appear to be a significant difference between the two proportions. There \square evidence to support the claim that echinacea treatment has an effect. c. Based on the results, does echinacea appear to have any effect on the infection rate? A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. B. Echinacea does not appear to have a significant effect on the infection rate. C. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. D. The results are inconclusive. Submit quiz

See Solution

Problem 2825

11. a) Determine the equation of the following conic. b) If this circle is translated 9 units to the right and 5 units up, what is the equation of this conic? c) Horizontally stretch the circle in (b) by a factor of 2 , what is the equation of this conic? (h,k)=(6+9,2+5)(3,3)(h, k)=\left(\frac{-6}{+9}, \frac{-2}{+5}\right) \rightarrow(3,3)

See Solution

Problem 2826

Part 2 of 3
Use the Substitution Formula, abf(g(x))g(x)dx=g(a)g(b)f(u)\int_{a}^{b} f(g(x)) \cdot g^{\prime}(x) d x=\int_{g(a)}^{g(b)} f(u) du where g(x)=ug(x)=u, to evaluate the following integral. 1102lnxxdx\int_{1}^{10} \frac{2 \ln x}{x} d x

See Solution

Problem 2827

If x3+63xy2=1sin(2x5)x^{3}+6-3 x y^{2}=-1-\sin \left(2 x^{5}\right), find dydx\frac{d y}{d x} when x=1,y=2x=1, y=2.

See Solution

Problem 2828

3. Determine a possible equation to represent each function. a)

See Solution

Problem 2829

A company that makes cola drinks states that the mean caffeine content per 12 -ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 37.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.6 milligrams. At α=0.05\alpha=0.05, can you reject the company's claim? Complete parts (a) through (e). (d) Decide whether to reject or fail to reject the null hypothesis. A. Since zz is in the rejection region, fail to reject the null hypothesis. B. Since zz is not in the rejection region, reject the null hypothesis. C. Since zz is in the rejection region, reject the null hypothesis. D. Since zz is not in the rejection region, fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim.
At the 5%5 \% significance level, there \square enough evidence to \square the company's claim that the mean caffeine content per 12-ounce bottle of cola \square \square milligrams.

See Solution

Problem 2830

5. A II (tall) planl is crossed with a " (short planl). What percentuge of the ullspring will be tall? \qquad
6. A Tt plant is crossed with a Tl plant. What percentage of lhe ollspring will be shout? \qquad
7. A heterozygous round seeded plant (Rr) is crossed with a homozygous round seeded plant (RR). What pervertige of the oflsping will be homozygous (RR)? \qquad
8. A homozygous round seeted plant is crossed with a homozygous prinkled seeded plant what are the genulypes of the parents? \qquad xx \qquad What percentage of the ollspring will also be homozggous? \qquad
9. In pea plants purple flowers ure dominunt to white flowers. If two white nowered plants are cross, what peroentage of their offispring will be white flowered?
10. A white thowered plantis crossed with a plant that is heterorygous tor the tait. What percentage of the offspring will have purple thowers? \qquad
11. Wo plants, both hereroyygous for the gene that cantrols flower color are crossed. What percentage of their offspring will have purple thowers? \qquad What percentage will have white flowers? \qquad
12. In guines pigs, the allele for short hair is dominant. What genotypo would a licterofygous short hained guinea pig have? \qquad What genolype would a purebreeding short haired guinea pig have? \qquad What genotype would a long haired guinea pig have? \qquad
13. Show the cross for a pure breeding short haired guinea pig and a long haired guinea pig what percentage of the uflspring will have shor hair? \qquad
14. Show the cross for two heteropygous guinca pigs. What percentage of the offspring will have short hair'? \qquad What percentage of the offspring will have long hair? \qquad
15. Twn short haired guinca pies anc mated several times, Out of 100 oftispring, 25 of them have long hair. What are the probable genotypes of the parents? \qquad xx \qquad Show the croos to prove it!

See Solution

Problem 2831

Function AA and Function B are linear functions. Function AA Function B y=2x1y=2 x-1 \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-7 & -21 \\ \hline 4 & 12 \\ \hline 6 & 18 \\ \hline \end{tabular}
Which statement is true?
The slope of Function A is greater than the slope of Function B.
The slope of Function AA is less than the slope of Function B.

See Solution

Problem 2832

In a closed container, SO2Cl2\mathrm{SO}_{2} \mathrm{Cl}_{2} dissociates according the following reaction; SO2Cl2( g)SO2( g)+Cl2( g)\mathrm{SO}_{2} \mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g})
When 1.00 mol of SO2Cl2\mathrm{SO}_{2} \mathrm{Cl}_{2} dissociates, the equilibrium mixture contains 0.80 mol of Cl2\mathrm{Cl}_{2} at 673 K and a total pressure of 125 atm .
Write an expression for the equilibrium constant, Kp\mathrm{K}_{\mathrm{p}}. Calculate the partial pressure of each gases in the equilibrium mixture. [5 marks]

See Solution

Problem 2833

BOOKMARK T4HWi QUESTIONS
19 Which equations represent linear functions? Select all that apply. Item 1 (A) x=y-x=y Item 2 Item 3 Item 4 B y=14x2+4y=\frac{1}{4} x^{2}+4 Item 5 c. 6x3y=126 x-3 y=12 Item 6 Item 7 Item 8 Item 9

See Solution

Problem 2834

1. You are given that 5xf(x)dx=35\int_{-5}^{x} f(x) d x=35 and 510f(x)dx=52\int_{-5}^{10} f(x) d x=52. What is the value of 2104f(x)dx?\int_{2}^{10} 4 f(x) d x ?

See Solution

Problem 2835

y15=1812\frac{y}{15}=\frac{18}{12}

See Solution

Problem 2836

ore: 2/32 / 3 Penalty: 1 off
2uestion Watch Video Show Examples The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is increasing at a rate of 108 cubic meters per second. It the instant when the height of the cylinder is 6 meters and the volume is 33 cubic meters, what is the rate of change of the height? The volume of a ylinder can be found with the equation V=πr2hV=\pi r^{2} h. Round your answer to three decimal places. Answer Attempt 3 out of 3

See Solution

Problem 2837

120=3.5z\frac{1}{20}=\frac{3.5}{z}

See Solution

Problem 2838

Back to Content Worked Examples: Try Geometric A
The height of a triangle is 2 more than twice its base. The triangle has an area of 110 Let bb represent the base of the triangle. What expression represents the height?
Enter your answer in the box. \square
What quadratic equation, in standard form, represents the situation? Enter your answer in the box. \square

See Solution

Problem 2839

learning.K12.com Back to Content Worked Examples: Try Projectile Motion
Freddie throws a ball straight up in the air. The equation h(t)=16t2+32t+12h(t)=-16 t^{2}+32 t+12 gives the height of the ball, in Freddie releases it.
From what height was the ball thrown? Enter your answer in the box. \square ft
What was the velocity at which Freddie threw the ball? Enter your answer in the box. \square ft/s

See Solution

Problem 2840

Question
Solve for x . 28x=23\frac{28}{x}=\frac{2}{3}

See Solution

Problem 2841

(1 point) Setup the Riemann sum abf(x)dx=limnk=1nf(xˉk)Δx\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{k=1}^{n} f\left(\bar{x}_{k}\right) \Delta x for the given integral. Answer: 02(3xx2)dx=limnk=1n\int_{0}^{2}\left(3 x-x^{2}\right) d x=\lim _{n \rightarrow \infty} \sum_{k=1}^{n} \square
Preview My Answers Submit Answers

See Solution

Problem 2842

Which formula represents the hyperbola on the graph shown below?

See Solution

Problem 2843

buring more items. (A) 54.16 (B) $19.49\$ 19.49 (C) $20.80\$ 20.80 (D) $20.99\$ 20.99

See Solution

Problem 2844

Leighton bought 10 bagels for $11.90\$ 11.90. Charlize paid the same amount for 12 bagels. fow much more did Leighton pay per bagel than Charlize?

See Solution

Problem 2845

Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below.
Reduction in Pain Level After Magnet Treatment (μ1):n=22,xˉ=0.52,s=0.95\left(\mu_{1}\right): n=22, \bar{x}=0.52, s=0.95 Reduction in Pain Level After Sham Treatment (μ2):n=22,xˉ=0.48,s=1.24\left(\mu_{2}\right): n=22, \bar{x}=0.48, s=1.24 π1μ1=μ2Π1μ1+μ2\pi_{1} \cdot \mu_{1}=\mu_{2} \quad \Pi_{1} \cdot \mu_{1}+\mu_{2}
The test statistic, t , is 0.12 . (Round to two decimal places as needed.) The P -value is 0.453 . (Round to three decimal places as needed.) State the conclusion for the test. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a). <μ1μ2<\square<\mu_{1}-\mu_{2}<\square (Round to two decimal places as needed.)

See Solution

Problem 2846

Translate to an equation. 20%20 \% of what number is 119?119 ?
The translation is

See Solution

Problem 2847

6. [-/1 Points]
DETAILS MY NOTES MARSVECTORCALC6 2.6.013.
Find a unit vector normal to the surface cos(xy)=ez2\cos (x y)=e^{z}-2 at (1,π,0)(1, \pi, 0). \square
Additional Materials eBook

See Solution

Problem 2848

A house was valued at $110,000\$ 110,000 in the year 1994. The value appreciated to $145,000\$ 145,000 by the year 2002. A) What was the annual growth rate between 1994 and 2002? r=r= \square Round the growth rate to 4 decimal places. B) What is the correct answer to part A written in percentage form? r=%r=\square \% C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2005? value =$=\$ \square

See Solution

Problem 2849

Find the equation of a straight line that passes through (3,5)&(7,1)(3,-5) \&(7,1)

See Solution

Problem 2850

The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.8, 21.4,20.921.4,20.9, and 21.2 pounds. \square Assume Normality. Answer parts (a) and (b) below. a. Find a 95%95 \% confidence interval for the mean weight of all bags of potatoes. (20.64(20.64, 21.51) (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20.0 pounds? A. The interval captures 20.0 pounds, su there is not enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. B. The interval does not capture 20.0 pounds, so there not is enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. C. The interval captures 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. D. The interval does not capture 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. E. There is insufficient information to make a decision regarding the rejection of 20.0 pounds. The sample size of 4 bags is less than the required 25.

See Solution

Problem 2851

In a previous poil, 42%42 \% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1198 adults with children under the age of 18 were selected at random, and 481 of those 1198 adults reported that their family ate dinner together seven nights a wook. Is there sufficient ovidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α=0.05\alpha=0.05 significance level.
Because np0(1p0)=n p_{0}\left(1-p_{0}\right)= \square \square 10 and the sample size is \square 5%5 \% of the population size, and the adults in the sample \square selected at random, all of the requirements for testing the hypothesis (Round to one decimal place as needed.)

See Solution

Problem 2852

From this year to ten years later, the number of people employed as physician assistants in the country is expected to increase by 45%45 \%. The number of people employed as physician assistants today is 58,000 . Find the predicted number of physician assistants after ten years.
The predicted number of physician assistants after ten years is \square

See Solution

Problem 2853

The diameter of a circle is 7 miles. Find the circumference of the circle. Round your answer to 2 decimal places. \qquad miles

See Solution

Problem 2854

Got II? 3. The length of the ball court at La Venta is 14 times the height of its walls. Write an equation that can be used to find the height of a model that has a length of 49 cm .

See Solution

Problem 2855

Question 2 of 6 This question: 1 point(s) possible
Determine the rectangular equation of the curve whose parametric equations are x=8e4t,y=e4t\mathrm{x}=-8 e^{4 \mathrm{t}}, \mathrm{y}=e^{4 \mathrm{t}}, then sketch the plane curve.
The rectangular equation that describes the parametric equations is y=y= \square . (Simplify your answer. Use integers or fractions for any numbers in the expression.) In order to produce an accurate representation of the graph of the original parametric equations, what is a restriction on the variable x ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is a restriction on the variable xx. The restriction is <x<-\infty<x< \square . B. There is a restriction on the variable xx. The restriction is x<\square \leq x<\infty. \square C. There are no restrictions on the variable xx.
In order to produce an accurate representation of the graph of the original parametric equations, what is a restriction on the variable xx ? Select the correct choice below and, if necessary, fill in the answer box to complete vour choice. (1) Time Remaining: 01:41:56 Next

See Solution

Problem 2856

Points: 0 of 1 Save
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95%95 \% confident that his estimate is within seven percentage points of the true population percentage? Complete parts (a) through (c) below. a) Assume that nothing is known about the percentage of adults who have heard of the brand. n=196n=196 (Round up to the nearest integer.) b) Assume that a recent survey suggests that about 81%81 \% of adults have heard of the brand. n=121n=121 (Round up to the nearest integer.) c) Given that the required sample size is relatively small, could he simply survey the adults at the nearest college? A. No, a sample of students at the nearest college is a convenience sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. B. No, a sample of students at the nearest college is a cluster sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. C. No, a sample of students at the nearest college is a stratified sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults. D. Yes, a sample of studerts at the nearest college is a simple random sample, so the results should be representative of the population of adults. Clear all Final check

See Solution

Problem 2857

Part 2 of 4 0 Points: 0 of 1 Save
Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36,xˉ=0.82409lb,s=0.00567lbn=36, \bar{x}=0.82409 \mathrm{lb}, s=0.00567 \mathrm{lb}. Use a confidence level of 90%90 \% to complete parts (a) through (d) below. a. Identify the critical value tα/2t_{\alpha / 2} used for finding the margin of error. tα/2=1.69t_{\alpha / 2}=1.69 (Round to two decimal places as needed.) b. Find the margin of error. E=lb\mathrm{E}=\square \mathrm{lb} (Round to five decimal places as needed.) an example Get more help - Clear all Check answer

See Solution

Problem 2858

Part 4 of 4 st
Use the sample data and confidence level given below to complete parts (a) through (d). HW Score: 76.59%,16.0876.59 \%, 16.08 of 21 points Points: 0 of 1 Save
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1068n=1068 and x=517x=517 who said "yes." Use a 99%99 \% confidence level. Click the icon to view a table of zz scores. (Round to three decimal places as needed.) b) Identify the value of the margin of error E . E=0.039E=0.039 (Round to three decimal places as needed.) c) Construct the confidence interval. 0.445<p<0.5230.445<p<0.523 (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 99%99 \% confidence that the sample proportion is equal to the population proportion. B. There is a 99%99 \% chance that the true value of the population proportion will fall between the lower bound and the upper bound. C. 99%99 \% of sample proportions will fall between the lower bound and the upper bound. D. One has 99%99 \% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. Clear all Final chect

See Solution

Problem 2859

40 Solve each equation. c) cos2(2x+π6)=12\cos ^{2}\left(2 x+\frac{\pi}{6}\right)=\frac{1}{2}

See Solution

Problem 2860

Question 14
Find the value of xx. \square ( )) Need help with this question?

See Solution

Problem 2861

Question 4 of 15, Step 1 of 1 3/153 / 15 Correct
Solve the following logarithmic equation, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or round your answer to two decimal places. log8(2x8)=2\log _{8}(2 x-8)=2
Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts x=x=

See Solution

Problem 2862

13x=1\frac{1}{3} \cdot x=1

See Solution

Problem 2863

Solve the formula S=RVR+7S=\frac{R V}{R+7} for the variable VV. V=V=

See Solution

Problem 2864

The cost to attend a public university in a recent year is $15,293\$ 15,293. The circle graph to the right shows the percentage of that cost for tuition/fees, room, board, and computer costs. Determine the cost, in dollars, for each category.
The cost of tuition and fees is $5,505.48\$ 5,505.48. (Round to the nearest cent as needed.) The cost of room is $5,474.89\$ 5,474.89. (Round to the nearest cent as needed.) The cost of board is $3,440.93\$ 3,440.93. (Round to the nearest cent as needed.) The computer costs are $\$ \square. (Round to the nearest cent as needed.)
Cost to Attend a Public University

See Solution

Problem 2865

Translate the following into an algebraic equation. The volume of a cylinder is equal to 16\frac{1}{6} of its height times π\pi times the square of its diameter.
Let v represent the volume, d represent the diameter, and h represent the height. The algebraic equation is \square (Type an-exact answer in terms of π\pi. Use integers or fractions for any numbers in the equation.)

See Solution

Problem 2866

For example, if a 2.00 g sample of ammonia is mixed with 4.00 g of oxygen in following reaction, use stoichiometry to determine the limiting reagent: 4NH3+5O24NO+6H2O4 \mathrm{NH}_{3}+5 \mathrm{O}_{2} \longrightarrow 4 \mathrm{NO}+6 \mathrm{H}_{2} \mathrm{O}

See Solution

Problem 2867

Question 7 of 15, Step 1 of 1 6/15 Correct
Write the following logarithmic equation as an exponential equation. Do not simplify your answer. 2x=log19(3.6)2 \mathrm{x}=\log _{19}(3.6)
Answer

See Solution

Problem 2868

Consider the following relation. 5y+x=2x+(x3)2-5 y+\sqrt{x}=2 x+(x-3)^{2}
Step 3 of 3 : Determine the implied domain of the function found in the first step. Express your answer in interval inotation.
Answer

See Solution

Problem 2869

The mean score on a set of 19 tests is 77. What is the sum of all the test scores? The sum of all the test scores is \square

See Solution

Problem 2870

Preliminary Problems
1. Answer the following question for the following reaction in aqueous solution: Na2 S2O3+4NaClO+2NaOH2Na2SO4+4NaCl+H2O\mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3}+4 \mathrm{NaClO}+2 \mathrm{NaOH} \rightarrow 2 \mathrm{Na}_{2} \mathrm{SO}_{4}+4 \mathrm{NaCl}+\mathrm{H}_{2} \mathrm{O}

The reaction was carried out using 80.0 mL of 1.200 M NaClO , with excess sodium hydroxide, and 50.0 mL of 0.400MNa2 S2O30.400 \mathrm{M} \mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3}, mixed in a calorimeter. The solutions and calorimeter were initially all at the same temperature. As a result of the reaction, the temperature rose 30.00C30.00^{\circ} \mathrm{C}. The heat capacity of the calorimeter is 254 J/C254 \mathrm{~J} /{ }^{\circ} \mathrm{C}. What is the ΔH\Delta H for the reaction? Assume that the heat capacity of the solutions is 4.18 J(C)14.18 \mathrm{~J}\left({ }^{\circ} \mathrm{C}\right)^{-1} per mL (the same as for water at 25C25^{\circ} \mathrm{C} ) and that there is no change in total volume during the reaction. The reaction is rapid. Assume that it is the only reaction, and that it goes to completion.

See Solution

Problem 2871

Гурван оронтой тоо 5-аар гогсене. Эн цифрийг эхэнд нь шилжүүлэхэд анхны тоог 4 дахин авәад, 12-ыг нэмсэнтзй тэнцүү тоо гарна Өгегдсен гурван оронтой тоог ол.

See Solution

Problem 2872

Three identical units of merchandise were purchased during March, as shown: \begin{tabular}{rrrr} & & \multicolumn{2}{c}{ Units } \\ \hline Mar. Cost & 3 & Purchase & 1 \\ 10 & Purchase & 1 & 840 \\ 19 & Purchase & 1 & 880 \\ \cline { 2 - 3 } Total & & 3 & $2,550\$ 2,550 \\ \hline \hline \end{tabular}
Assume that one unit is sold on March 23 for \$1, 125. Determine the gross profit for March and ending inventory on March 31 using (a) FIFO, (b) LIFO, and (c) weighted average cost methods
Gross Profit Ending Inventory a. First-in, first-out (FIFO) b. Last-in, first-out (LIFO) c. Weighted average cost \square $\$ \square \square $\$ \square

See Solution

Problem 2873

p2. [25pts] Fallure normal stress in rods ABA B and CAC A is 20 MPa , while the fallure shear stress in the double-shear pins at CC and BB is 15 MPa . Determine the value of load PP such that the Factor of Safety against normal stress =1.5=1.5 and Factor of Safety against shear =2=2. Assume diameter of both rods is 16 mm , and the diameters of the pins =12 mm=12 \mathrm{~mm}.

See Solution

Problem 2874

926+611=\frac{9}{26}+\frac{6}{11}=

See Solution

Problem 2875

926611=\frac{9}{26}-\frac{6}{11}=

See Solution

Problem 2876

Dalam Rajah 2, ABCDEFGH ialah sebuah oktagon sekata. Diberi bahawa HI dan GF ialah garis selari.
Cari nilai p p .
A 131 131^{\circ}
B 136 136^{\circ}
C 151 151^{\circ}
D 209 209^{\circ}

See Solution

Problem 2877

2.2.1 sin2θ+1,283=tan62\sin 2 \theta+1,283=\tan 62^{\circ} 2.2.2 2cot(θ25)=52 \cot \left(\theta-25^{\circ}\right)=5 3Page3 \mid \mathrm{Page}

See Solution

Problem 2878

III. Consider a rectangle ABCD such that AB=8 cm\mathrm{AB}=8 \mathrm{~cm} and AD=4 cm\mathrm{AD}=4 \mathrm{~cm}. EE and FF are two points of [AB][\mathrm{AB}] and [AD][\mathrm{AD}] respectively Such that BE=DF=x\mathrm{BE}=\mathrm{DF}=\boldsymbol{x}; where 0<x<40<\boldsymbol{x}<4. Let S\mathbf{S} denote the area of the shaded part FECD. 1) Prove that S=x2+8x+322S=\frac{-x^{2}+8 x+32}{2} 2) Calculate x\boldsymbol{x} so that S=18 cm2\mathbf{S}=18 \mathrm{~cm}^{2}. 3) Prove that for all xx in ]0;4[,S>10 cm2] 0 ; 4\left[, \mathbf{S}>10 \mathrm{~cm}^{2}\right.. 4) Determine the set of values of xx so that S>20 cm2S>20 \mathrm{~cm}^{2}

See Solution

Problem 2879

Save \& Exit Certify Lesson: 5.2 Simple and Compound Interest
Question 12 of 13 , Step 1 of 1 8/13 Correct 0
The First Bank of Lending lists the following APR for loans. Determine the APY, or effective interest rate, for a loan amount that is less than $20,000\$ 20,000. Round your answer to the nearest hundredth, if necessary. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} First Bank of Lending Loan \\ APR \end{tabular}} \\ \hline Loan Amount & APR ^{*} \\ \hline<$20,000<\$ 20,000 & 12.25%12.25 \% \\ \hline$20,000$99,999\$ 20,000-\$ 99,999 & 9.99%9.99 \% \\ \hline>$99,999>\$ 99,999 & 6.75%6.75 \% \\ \hline \end{tabular} * interest rates are compounded monthly Formulas Tables Keypad Keyboard Shortcuts
Answer How to enter your answer (opens in new window) \%

See Solution

Problem 2880

4. An electric heater is constructed by applying a potential difference of 110 V across a wire with a resistance of 5.0Ω5.0 \Omega. What is the power rating of the heater? (Show your work)
The power output of a circuit is given by: P=IV=RI2=V2RP=V22(110)25P=2420 woAt \begin{array}{c} P=I V=R I^{2}=\frac{V^{2}}{R} \\ P=\frac{V^{2}}{2} \Rightarrow \frac{(110)^{2}}{5} \Rightarrow P=2420 \text { woAt } \end{array} \qquad
5. What factors do you think that may contribute to the errors?

See Solution

Problem 2881

. 6 Solve Radical Equations: Problem 3 point)
Solve the following radical equation. Enter your answers as integers or fractions, or write "no solution" if appropriate. The solution of the equation 3x+9=12\sqrt{3 x+9}=12 is x=x= \square Preview My Answers Submit Answers

See Solution

Problem 2882

James has some apples and oranges. The ratio of apples and oranges is 2:52: 5 He has 15 oranges. How many apples does James have?

See Solution

Problem 2883

Cost Flow Methods
The following three identical units of Item Alpha are purchased during April:
Assume that one unit is sold on April 30 for $132\$ 132. Determine the gross profit for April and ending inventory on April 30 using the (a) first-in, first-out (FIFO); (b) last-in, first-out (LIFO); and (c) weighted average cost methods. \begin{tabular}{lll} & Gross Profit & Ending Inventory \\ \hline a. First-in, first-out (FIFO) & $\$ \square \\ b. Last-in, first-out (LIFO) & $\$ \square \\ c. Weighted average cost & $\$ \square \end{tabular}

See Solution

Problem 2884

Here is a 10-sided polygon 134° 168 Work out the value of x. 150 149 150 1299 125 168 Diagram NOT accurately drawn

See Solution

Problem 2885

Perpetual Inventory Using FIFO Beginning inventory, purchases, and sales for Item Doodad are as follows: \begin{tabular}{r|l|l} July 1 & Inventory & 90 units at \21 \\ \hline 7 & Sale & 79 units \\ \hline 15 & Purchase & 160 units at \24 24 \\ \hline 24 & Sale & 70 units \end{tabular}
Assuming a perpetual inventory system and using the first-in, first-out (FIFO) method, determine (a) the cost of merchandise sold on July 24 and (b) the inventory on July 31. a. Cost of merchandise sold on July 24 $\$ \square b. Inventory on July 31 \$

See Solution

Problem 2886

n=(2k+1)4 n = (2k + 1)^4

See Solution

Problem 2887

Perpetual Inventory Using Weighted Average
Beginning inventory, purchases, and sales for H 76 are as follows: \begin{tabular}{rl|l} July 1 & Inventory & 300 units at $120\$ 120 \\ 12 & Sale & 210 units \\ 23 & Purchase & 360 units at $135\$ 135 \\ 26 & Sale & 330 units \end{tabular} a. Assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the July 23 purchase. \ \squareperunitb.Assumingaperpetualinventorysystemandusingtheweightedaveragemethod,determinethecostofthemerchandisesoldonJuly26.$ per unit b. Assuming a perpetual inventory system and using the weighted average method, determine the cost of the merchandise sold on July 26. \$ \squarec.Assumingaperpetualinventorysystemandusingtheweightedaveragemethod,determinetheinventoryonJuly31.$ c. Assuming a perpetual inventory system and using the weighted average method, determine the inventory on July 31. \$ \square$

See Solution

Problem 2888

Ten workers of equal efficiency are working on manufacturing 7 industrial widgets of different sizes. If all ten work together, it will take 13 days to make the 1st 1^{\text {st }} widget, 12 days to make the 2nd 2^{\text {nd }} widget, 11 days to make the 3rd 3^{\text {rd }} widget, and so on. The factory manager decides to engage 4 workers on the 1st 1^{\text {st }} widget and one worker on each of the remaining 6 widgets. No worker is removed from the work on a specific widget before it is finished. The moment the 1st 1^{\text {st }} widget is complete, he assigns those 4 workers on the 2nd 2^{\text {nd }} widget. Once the 2nd 2^{\text {nd }} widget is complete, he assigns 5 workers working the 2nd 2^{\text {nd }} widget on the 3rd 3^{\text {rd }} widget, and so on. What percentage of the seventh widget was completed by the worker who started the work on that widget?
Enter your response (as an integer) using the virtual keyboard in the box provided below.

See Solution

Problem 2889

س ٢:اشترى شخص سيارة بمبلغ . . • 1 دينار ودفع فورا مقدار القسط المتساوي. (0علامات)

See Solution

Problem 2890

Triangle ABCA B C is an equilateral triangle and triangle PQR is a right-angled isosceles triangle. The perimeter of both these triangles is the same. If the area of the isosceles right-angled triangle is 10 cm210 \mathrm{~cm}^{2}, then the approximate length (in cm ) of the side of the equilateral triangle is \qquad .

See Solution

Problem 2891

It is given that x=9ax=9^{a} and y=3by=3^{b}, where 'a' and ' bb ' are two natural numbers. Find the sum of all possiblo values of ab|a-b| where log3 x3y2=22x^{3} y^{2}=22.

See Solution

Problem 2892

اذا كان جنا ( ا - ب ) حنا ( + ب طا اطاب :

See Solution

Problem 2893

7-49. If L=9 mL=9 \mathrm{~m}, the beam will fail when the maximum shear force is Vmax=5kNV_{\max }=5 \mathrm{kN} or the maximum bending moment is Mmax=2kNmM_{\max }=2 \mathrm{kN} \cdot \mathrm{m}. Determine the magnitude M0M_{0} of the largest couple moments it will support.
Probs. 7-48/49

See Solution

Problem 2894

5 Determina, em graus, 0 valor arredondado às décimas da inclinação de cada uma das retas de equação: 5.1. (x,y)=(1,1)+k(2,3)(x, y)=(1,1)+k(2,3); kRk \in \mathbb{R} 5.2. y=2x+1y=-2 x+1 5.3. 2yx+3=02 y-x+3=0 5.4. (x,y)=(0,3)+k(2,π)(x, y)=(0,3)+k(-2, \pi); kRk \in \mathbb{R} 5.5. y=πx2y=\pi x-2

See Solution

Problem 2895

5 Determina, em graus, 0 valor arredondado às décimas da inclinação de cada uma das retas de equação: 5.1. (x,y)=(1,1)+k(2,3)(x, y)=(1,1)+k(2,3); kRk \in \mathbb{R} 5.2. y=2x+1y=-2 x+1 5.3. 2yx+3=02 y-x+3=0 5.4. (x,y)=(0,3)+k(2,π)(x, y)=(0,3)+k(-2, \pi); kRk \in \mathbb{R} 5.5. y=πx2y=\pi x-2

See Solution

Problem 2896

Suppose that the human body dissipates a drug at a rate proportional to the amount yy of drug present in the bloodstream at time f. At time f=0\mathrm{f}=0 a first injection of yo\mathrm{y}_{\mathrm{o}} grams of the drug is made into a body that was free from that drug prior to that time. Find the amount of residual drug in the bloodstream at the end of T hours.

See Solution

Problem 2897

In the opposite figure : If ABCD is a square and DEEB=25\frac{\mathrm{DE}}{\mathrm{EB}}=\frac{2}{5} , then tanθ=\tan \theta= (a) 73\frac{7}{3} (b) 37\frac{3}{7} (B) (c) 27\frac{2}{7} (d) 72\frac{7}{2}

See Solution

Problem 2898

PROBLEM 20: The azimuth of the sides of a traverse ABCDEF are given below. Compute the internal angles. Bearing of AB=29045A B=290^{\circ} 45^{\circ} Bearing of BC=250+8B C=250^{\circ}+8^{\prime} Bearing of CD=19612C D=196^{\circ} 12^{\prime} Bearing of DE=17524D E=175^{\circ} 24^{\prime} Bearing of EF=11218E F=112^{\circ} 18^{\prime} Bearing of FA=3000F A=30^{\circ} 00^{\prime} Solution:

See Solution

Problem 2899

(ii) Find p(x)p(x). f(x)f(x) is defined by f(x)=x3+5,xRf(x)=x^{3}+5, x \in \mathbb{R}. Find the value of xx such that fg(2x)=13f g(2 x)=13 if g(x)=3x10g(x)=3 x-10. [3 marks]

See Solution

Problem 2900

(4×5)×3=4×(5×3)(4 \times 5) \times 3=4 \times(5 \times 3) associative identity distributive commutative

See Solution
banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord