n 10 of 16
Side-by-Side A research firm supplies manufacturers with estimates of the sales of their products from samples of stores. Marketing managers often look at the sales estimates and ignore sampling error. An SRS of 50 stores this month shows mean sales of 41 units of a particular appliance with standard deviation of 11 units. During the same month last year, an SRS of 52 stores gave mean sales of 38 units of the same appliance with a standard deviation of 13 units. An increase from 38 to 41 is a rise of 7.9%. The marketing manager is happy because sales are up 7.9%.
(a) Give a 95% confidence interval for the difference in mean number of units of the appliance sold at all retail stores. Give your answers to three decimal places.
lower bound: □
upper bound: □
Question 6 Reputable scientists know that the average surface temperature of the world has been rising steadily. One model found using sets of temperature data is:
T=0.02t+15.0 Where T is temperature in ∘C and t is years since 1950.
(a) Describe what the slope and T-intercept represent.
(b) Use the equation to predict the average globle surface temperature in 2050.
□∘C Question Help:
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7 Si f(x)=x2, ¿qué función es el resultado de desplazar f(x)3 unidades hacia la izquierda y 2 unidades hacia abajo?
(1) g(x)=(x+2)2−3
(3) j(x)=(x+3)2−2
(2) h(x)=(x−2)2+3
(4) k(x)=(x−3)2+2 8 La ecuación utilizada para calcular la velocidad de un objeto es la siguiente: v2=u2+2as, donde u es la velocidad inicial, v es la velocidad final, a es la aceleración del objeto y s es la distancia recorrida.
Cuando se resuelve esta ecuación para a, el resultado es
(1) a=2sv2u2
(3) a=v2−u2−2s
(2) a=2sv2−u2
(4) a=2s(v2−u2) 9 La clase de Matemáticas de la Sra. Smith hizo una encuestó a los estudiantes para determinar sus sabores favoritos de helado. Los resultados se muestran en la siguiente tabla.
\begin{tabular}{|c|c|c|c|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Chocolate & Vainilla & Combinado \\
\hline 11. ∘ grado & 42 & 27 & 45 \\
\hline 12. ∘ grado & 67 & 42 & 21 \\
\hline
\end{tabular} De los estudiantes que prefieren chocolate, Aproximadamente, ¿qué porcentaje era de 12.∘ grado?
(1) 27.5
(3) 51.5
(2) 44.7
(4) 61.5
A poll of 1019 Americans showed that 46.5% of the respondents prefer to watch the news rather than read or listen to Use those results with a 0.05 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses.
H0:p□H1p
(Type integers or decimals. Do not round.)
- Ch 5 Linear
Google Slides
Equations from a Table of Value
Ider/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=01649728-103f-45a5-8ca4-0960cd2619db
and Graph
n Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box.
Slope:
Y-intercept:
Equation:
2 5 4
13 □
4 □±
Submit
33
12
45
Search
ENG
US
Use the time/tip data from the table below, which includes data from New York City taxi rides. (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the regression equation, letting time be the predictor ( x ) variable. Find the best predicted tip for a ride that takes 22 minutes. How does the result compare to the actual tip amount of $5.05 ? Use a significance level of 0.05 .
\begin{tabular}{l|cccccccc}
Distance & 1.02 & 0.68 & 1.32 & 2.47 & 1.40 & 1.80 & 8.51 & 1.65 \\
\hline Time & 8.00 & 6.00 & 8.00 & 18.00 & 18.00 & 25.00 & 31.00 & 11.00 \\
\hline Fare & 7.80 & 6.30 & 7.80 & 14.30 & 12.30 & 16.30 & 31.75 & 9.80 \\
\hline Tip & 2.34 & 1.89 & 0.00 & 4.29 & 2.46 & 1.50 & 2.98 & 1.96
\end{tabular} The regression equation is y^=□+□x.
(Round the y-intercept to two decimal places as needed. Round the slope to four decimal places as needed.)
/activitybuilder/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=b41ae290-cc56-429e-810e-07bd955554a2
f Values and Graph
π
n Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box. Slope:
Y-intercept:
Equation: □
Submit
9
Multiple Choice
6 points Assume $20,000 is deposited into a savings account. Boulder Bank offers an annual rate of 0.84% for 5 years. Stone Bank offers a rate of 3.7% interest for 1 year. Which earns more interest?
Boulder Bank
Stone Bank
10
Fill in the Blank
6 points A couple is planning a savings account for a newborn baby. They start with $10,700 they received as cash gifts. If no deposits or withdrawals are made, what is the balance of the account if it earns 0.98% interest for 18 years?
type your answer...
11
Fill in the Blank
6 points Ron estimates it will cost him $600,000 to send his daughter to a private college in 18 years. He currently has $130,000 to deposit in an account. What simple interest rate must his account have to reach a balance of $600,000 in 18 years? Round to the nearest percent.
type your answer...
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Find the regression equation, letting the first variable be the predictor ( x ) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 44 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years? Use a significance level of 0.05 .
\begin{tabular}{cllllllllllll}
\hline Best Actress & 27 & 32 & 28 & 58 & 30 & 34 & 47 & 30 & 62 & 22 & 44 & 56 \\
Best Actor & 44 & 37 & 37 & 47 & 48 & 46 & 62 & 49 & 37 & 55 & 45 & 33 \\
\hline
\end{tabular} Find the equation of the regression line.
y^=□+(□)x
(Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.)
```latex
\text{يتألف مسار المتحرك من جزئين:} \begin{itemize}
\item \text{الجزء } AB: \text{ ربع دائرة شاقولي أملس (تهمل الاحتكاكات) مركزه } O \text{ ونصف قطره } r.
\end{itemize} \text{في اللحظة } t=0 \, \text{s} \text{ نترك جسماً صلباً نعتبره نقطياً بدون سرعة ابتدائية كتلته } m=0.5 \, \text{kg} \text{ انطلاقاً من الموضع } M \text{ من المسار } AB \text{، بحيث يشكل شعاع موضعه زاوية } \theta \text{ مع الشاقول كما هو مبين في الشكل المرفق أعلاه.} \text{I-} \begin{enumerate}
\item \text{مثل القوى الخارجية المؤثرة في مركز عطالة الجسم الصلب في الجزء } AB.
\item \text{بتطبيق معادلة انحفاظ الطاقة على الجملة (جسم صلب) بين الموضعين } M \text{ و } B. \text{ أوجد عبارة السرعة في الموضع } B.
\item \text{مثل القوى الخارجية المؤثرة في مركز عطالة الجسم الصلب في الجزء } BC \text{ واستنتج طبيعة الحركة على هذا المسار مبرراً جوابك.}
\item \text{بين أن عبارة ثابتين يطلب تحديد عبارتيهما. تحديد سرعة وصول الجسم المتحرك إلى الموضع } C \text{ فتحصلنا على البيان المرفق الموالي:}
\end{enumerate} \text{2. ت664 H18 TD cyst}
```
-3 Quiz
The ratio of the measures of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.
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Show Examples A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years? Answer
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Jada was solving the equation 6−x=−16. She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?
There are 35 nickels on one pan of a pan balance and 26 nickels on the other. To make the pans balance, Levi thinks 5 nickels should be added to the higher pan, Isaac thinks 8 nickels should be added, and Miranda thinks 9 nickels should be added. Use the equation 35=26+n to determine who is correct.
□ is correct because the value □ makes the equation □
The circumference of a circle is 11πm. Find its radius, in meters. Answer Attempt 1 out of 2
r=□ m
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Using the substitution 3sin(u)=x, we obtain
∫x29−x2dx=∫Ksinmucosnudu
where the constants K=□□m= and n=□ . Using this result and your knowledge about indefinite integrals of powers of sinu and cosu, find the indefinite integral
∫x29−x2dx=□+C Note: Your answer should be in terms of x, not u.
To make 48+34 easier to solve, Lou decides to first add on from 48 to get to the next ten: Add on to get to 50 .
48+2=50 How much more does Lou need to add on?
=48+3448+(2+□)
Read the problem.
The Van Gogh Middle School class president asked 200 students to vote on a theme for the spring formal dance. 140 students voted for a "Starry Night" theme. What percent of the students voted for a "Starry Night" theme? Pick the model that represents the problem.
\begin{tabular}{|l|l|l|l|l|}
\hline 0% & \multicolumn{3}{|c|}{?} & 100% \\
\hline & & & \\
\hline 0 & 140 & 200 \\
\hline
\end{tabular} What percent of the students voted for a "Starry Night" theme?
□ \%
\begin{tabular}{|l|l|l|}
\hline \multicolumn{2}{|c|}{ EXAMEN PARCIAL 3 } & \\
\hline Materia & Cálculo Diferencial & \\
\hline Semestre & 2 \\
\hline Carrera & Tecnología en Obras Civiles & \\
\hline
\end{tabular} 1. Resuelva las siguientes derivadas usando la Regla de la cadena
a. h(t)=2cos(1−2x)2
b. g(x)=x4+4x
c. y=−(x+3)35x 2. Resuelva las siguientes derivadas Implícitas
a. xy+1=xy+1
b. 5xy+2y=x2y+xy3
c. 3y3x2+4x2y3−x3y2=12x2+cos(xy)
d. 9x2=yx 3. Resuelva las siguientes derivadas usando una Razón de cambio adecuiada.
a. Un globo completamente esférico está siendo inflado a una razón de 3cm3/s.
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a variance of 0.0025 . The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0025 . Suppose that we want to carry out a hypothesis.test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.
H0:□H1:□
(Español) Two angles are complementary. The measure of one angle is 9∘ more than twice the measure of the other angle. Find the measure of each angle. Part 1 of 2 The measure of the smaller angle is □ . Part 2 of 2 The measure of the larger angle is □
Solve by completing the square.
−3v2+48v−75=0 言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth.
) [ix x˙A]=□ or v=□
3. The population of the People's Republic of China has been doubling approximately every sixty years. The population in 1975 was about 824000000 . If the current growth rate continues, what will the population be in 2215?
Quadratic and Exponential Functions
Graphing a parabola of the form y=ax2+bx+c : Integer coefficier
aph the parabola.
y=3x2−30x+69 Plot five points on the parabola: the vertex, two points to the le button.
Hypothesis test for the population mean: t test using the critical value... An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is clured that, due to improvements in the process, the mean completion time, μ, is now less than 70 minutes. A random sample of 22 completion times using the new process is taken. The sample has a mean completion time of 67 minutes, with a standard deviation of 12 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the pepulation mean completion time using the new process is less than 70 minutes? Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H0 and the alternative hypothesis H1.
H0:□H1:□⇒H1
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
□
(d) Find the critical value. (Round to three or more decimal places.)
□
(e) Can it be concluded that the mean completion time using the new process is less than 70 minutes?
Yes No
12. Let a equal the measure of angle A. The equation 360∘=a+90∘+135∘+75∘ represents the sum of the angles in the quadrilateral. Find the missing angle measure by solving the equation.
hmic Functions
Question 11, 5.4.67 Solve the equation. Use the change of base formula when appropriate.
e−x=18 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x=□ (Type an integer or decimal rounded to the nearest hundredth as needed.)
B. There is no solution.
6. QS is an angle bisector and TU is a perpendicular bisector of △PQR,m∠RQS=14x−21,m∠PQS=5x−3, PU=11z−20,QU=2z+16 and m∠TUQ=6y−12. Calculate the value of x,y,z,PU,QU,m∠RQP, and m∠PUT.
14x−21=5x−3+21=+219x=18x=2
unctions
Question 13, 5.4.71 Solve the equation.
105x=10000 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is x=□ . (Type an integer or a fraction.)
B. There is no solution.
14. This year, a rancher counted 225 horses on the range. This count is 22 fewer than last year. How many horses did the rancher count last year? Let h be the number of horses counted last year. Solve h−22=225 to find the number of horses counted last year.
Equations
Points: 0 of 1 Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1 , and roots of 2−6,2+6, and 7−i. The polynomial function is P(x)=□
(Simplify your answer.)
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The records show that the lifetimes of electric bulbs manufactured in the past by BIG Corporation have a mean of 9790 hours and a standard deviation of 124 . The corporation claims that the current standard deviation, σ, is less than 124 following some adjustments in its production unit. A random sample of 27 bulbs from the current production lot is examined by the corporation. The sample has a mean lifetime of 9795 hours, with a standard deviation of 90 . Assume that the lifetimes of the recently manufactured bulbs are approximately normally distributed, Is there enough evidence to conclude, at the 0.10 level of significance, that the corporation's claim is valid? Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H0 and the alternative hypothesis H1.
H0:□H1:□
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
□
(d) Find the critical value. (Round to three or more decimal places.)
□
(e) Can we support the claim that the current standard deviation of lifetimes of electric bulbs manufactured by the corporation is less than 124 ?
Yes No
4. In 2021, the approximate population of India was 1.4×10 people. Spain's population in 2021 was about 4 how many times greater was India's population than Spain's population
0.3
A scale diagram of a building is drawn using a scale of 1 cm to 5 m . The building is 20 m tall in real life. How tall is the diagram of the building?
Give your answer in centimetres (cm).
After finishing her dinner, Shianne spends 1526 hours at hockey practice, 41 minutes reading, 3021 of an hour doing homework, and half an hour watching TV, then she goes to bed.
i. How much time does Shianne spend on all of her after-dinner activities?
ii. If Shianne finishes dinner at 6:15pm, what time does she go to bed?
Feng invests money in an account paying simple interest. He invests $70 and no money is added or removed from the investment. After one year, he has $70.70. What is the simple percent interest per year? Answer
□ \%
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Amelia invests money in an account paying simple interest. She invests $100 and no money is added or removed from the investment. After one year, she has $101. What is the simple percent interest per year? Answer
□ \%
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Ava went shopping for a new pair of pants. The listed price of the pair of pants was $21, but the price with tax came to $21.63. Find the percent sales tax. Answer
□ \%
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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 16 miles per hour slower than the eastbound train. If the two trains are 540 miles apart after 3 hours, what is the rate of the westbound train? Do not do any rounding.
□
7 miles \$er hour
Laura and Martin obtain a 20 -year, $190,000 conventional mortgage at 9.5% on a house selling for $230,000. Their monthly \$1772.70.
a) Determine the total amount they will pay for their house.
For the food described, find what percent of total calories is from fat. If necessary, round to the nearest tenth of a percent. Nutrition Facts
Serving Size 18 crackers (29g) Servings Per Container About 9 Amount Per Serving
Calories 120 Calories from Fat 40
□ sis of total calories are from fat
Are freshmen psychology majors just as likely to change their major before they graduate compared to freshmen business majors? 428 of the 671 freshmen psychology majors from a recent study changed their major before they graduated and 426 of the 643 freshmen business majors changed their major before they graduated. What can be concluded at the α=0.05 level of significance? For this study, we should use
Select an answer
a. The null and alternative hypotheses would be:
H0 :
Select an answer
Select an answer
Select an answer
H1 :
Select an answer
Select an answer
Select an answer
b. The test statistic ? =□ (please show your answer to 3 decimal places.)
c. The p-value =□ (Please show your answer to 4 decimal places.)
d. The p-value is
? α
e. Based on this, we should
Select an answer
the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically significant at α=0.05, so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is different from the population proportion of freshmen business majors who change their major.
The results are statistically significant at α=0.05, so there is sufficient evidence to conclude that the proportion of the 671 freshmen psychology majors who changed their major is different from the proportion of the 643 freshmen business majors who change their major.
0
The results are statistically insignificant at α=0.05, so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is different from the population proportion of freshmen business majors who change their major.
The results are statistically insignificant at α=0.05, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major.
Are freshmen psychology majors less likely to change their major before they graduate compared to freshmen business majors? 339 of the 636 freshmen psychology majors from a recent study changed their major before they graduated and 426 of the 723 freshmen business majors changed their major before they graduated. What can be concluded at the α=0.01 level of significance? If the calculator asks, be sure to use the "Pooled" data option. For this study, we should use
Select an answer
a. The null and alternative hypotheses would be:
H0 :
Select an answer
Select an answer
Select an answer
(6) (please enter a decimal)
H1 :
Select an answer
Select an answer
Select an answer
(Please enter a decimal)
b. The test statistic ? 0=□ (please show your answer to 3 decimal places.)
c. The p -value =□ (Please show your answer to 4 decimal places.)
d. The p-value is □α
e. Based on this, we should
Select an answer
the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically significant at α=0.01, so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is less than the population proportion of freshmen business majors who change their major.
The results are statistically insignificant at α=0.01, so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is less than the population proportion of freshmen business majors who change their major.
The results are statistically significant at α=0.01, so there is sufficient evidence to conclude that the proportion of the 636 freshmen psychology majors who changed their major is less than the proportion of the 723 freshmen business majors who change their major.
The results are statistically insignificant at α=0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major.
Question 2, 10.6.10 HW Score: 0%,0 of 10 points
Points: 0 of 1 Use the ordinary annuity formula shown to the right to determine the accumulated amount in the annuity if $80 is invested semiannually for 35 year 6.5% compounded semiannually.
A package of silicone straws costs $6. This is $7 less than the cost of a package of metal straws. Select the equations that could be used to find the cost c of th package of metal straws.
A) 7=c÷6
B) c−7=6
C) c×7=6
D) 6+7=c
E) −6+7=c
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Part 2 of 6
01:12:48 Required information
[The following information applies to the questions displayed below.]
Cardinal Company is considering a five-year project requiring a $2,870,000 investment in equipment with a useful life of five years and no salvage value. The company's discount rate is 12%. The project would provide net operating income in each of five years as follows:
\begin{tabular}{lr}
Sales & \\
Variable expenses & $2,861,000 \\
Contribution margin & 1,101,000 \\
\hline
\end{tabular} Fixed expenses:
Advertising, salaries, and other
fixed out-of-pocket costs
Depreciation
\705,000
Total fixed expenses
Net operating income
\begin{tabular}{r}
1,279,000 \\
\hline\481,000 \\
\hline
\end{tabular} 4. What is the project's net present value? Note: Round final answer to the nearest whole dollar amount.
Net present value
The picture shows a multiplication triangle. The numbers in the circles multiply together to make the number in the rectangle in between. Fill in the gap.
Bookwork code: 5C
Calculator
allowed A bowling alley can be hired for a party. The formula below shows the cost.
A party cost £316. How many people were at the party?
According to Le Châtelier's principle, a system at equilibrium will respond to a stress by shifting in the direction that'rellieves the stress. Chemical reactions can be displaced from their equilibrium positions not only by adding or removing reactants or products but also by changing the volume or temperature. Changes in volume affect the value of the reaction quotient, Q, whereas temperature changes affect the value of the equilibrium constant, K. Part A For the following systems at equilibrium
A:2NOCl(g)⇌2NO(g)+Cl2(g)
B: H2(g)+I2(g)⇌2HI(g)
classify these changes by their effect.
Drag the appropriate items to their respective bins.
View Available Hint(s)
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Help System A
System A
System B Increase container size Decrease container size
Increase container size System B
Decrease container size Leftward shift
No shift
Rightward shift
A hot dog stand sells hot dogs for $3 each.
a. Write a linear equation to represent the total income, I, the stand makes based on the number of hot dogs sold, h.
b. What is the income if 150 hotdogs are sold?
c. How many hotdogs to earn $2200.
The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 8% per hour. Suppose that a sample culture has an initial population of 522 bacteria. Find the population predicted after six hours, according to the model. Do not round any intermediate computations, and round your answer to the nearest tenth.
□ bacteria
The mass of a radioactive substance follows a continuous exponential decay model. A sample of this radioactive substance has an initial mass of 8594 kg and decreases continuously at a relative rate of 16% per day. Find the mass of the sample after two days. Do not round any intermediate computations, and round your answer to the nearest tenth.
□
kg
Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05 , test the hypothesis that the three formulas produce the same mean weight gain.
H0:μ1=μ2=μ3Ha : At least two of the means differ from each other
\begin{tabular}{|c|c|c|}
\hline Forumla A & Forumla B & Forumla C \\
\hline 947.1 & 45.1 & 51.4 \\
\hline 44 & 39.9 & 58 \\
\hline 939 & 35 & 52 \\
\hline 52.9 & 34.1 & 44.3 \\
\hline 37.3 & 60.6 & 48.8 \\
\hline 55.7 & 57 & 47.5 \\
\hline 52 & 20.9 & 42.3 \\
\hline 57.7 & 18.3 & 40.6 \\
\hline 1261.4 & 41.3 & 50.6 \\
\hline
\end{tabular} Run a one-factor ANOVA with α=0.05. Report the F -ratio to 4 decimal places and the p -value to 4 decimal places.
F=
p-value =
□
Based on the p-value, what is the conclusion
Reject the null hypothesis: at least one of the group means is different
Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
omotion - Traditional Media Math Quiz UESTION 3 of 10: Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the ggs 10%. What is your margin on the discounted eggs?
a) $1.50
b) $1.75
c) $1.94
d) $2.06
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Q2024 Knowledge Matters, Inc.
In parallelogram LMNO, given MP=21m,LP=(y+3)m,NP=(3y−1)m, and P=(2x−1)m.
\text{What are the values of } x \text{ and } y \text{ such that:}
\begin{align*}
x &= 10 \mathrm{~m}, y = 1 \mathrm{~m} \\
x &= 10 \mathrm{~m}, y = 2 \mathrm{~m} \\
x &= 11 \mathrm{~m}, y = 1 \mathrm{~m} \\
x &= 11 \mathrm{~m}, y = 2 \mathrm{~m}
\end{align*}
Given the sequential instructions below. Identify the instructions suitable for parallelism and those that are not suitable.
i. e=a+b
ii. p=f+c
iii. f=c+d
iv. g=e∗f
Below is a hypothesis test. Label the different parts of the test in the boxes. A hospital director is told that 47% of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is over the expected percentage. A sample of 400 patients is found that 200 were uninsured. At the 0.02 level, is there enough evidence to support the director's claim?
Ho:p≤0.47Ha:p>0.47Z=np(1−p)p^−p=4000.47(1−0.47)0.5−0.47=4000.47(0.53)0.03=4000.24910.03=0.000622750.03=0.024950.03=1.20
Read the problem.
Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use?
Pick the model that represents the problem. What percent of the water balloons did Jamal use?
□ \%
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