5. Finn bought 12 movie tickets. Student tickets cost $4, and adult tickets cost $8. Finn spent a total of $60. Write and graph a system of equations to find the number of student and adult tickets Finn bought. Lesson 5-2
x+y=124x+8y=60 6. What value of m gives the system infinitely many solutions? Lesson 5-1
−x+4y=32y=mx+8 Types of Movie Tickets
The graph of g(z), shown below, is obtainad by transtorming the graph of f(x).
f(x)=−(x+1)2+9
a) In the space below, describe a sequence of transformations that would transform the graph of y=f(x) into the graph of y=g(x). Your answers below wiv nor be auto-graded
□
b) In the space below, state the equation of g(x), both in terms ai f(x) and in terms of
x.
In terms of f(x):g(x)=□
in terms of xg(x)=□
c) A new function h(x) is obtained by reflecting the groph of g(x) (the green graph) about the line y=x. Describe the transformation
□
d) Stote the domain ond range of h(x) in interval notation
□
D.
□
Which of the following is/are True?
The level of significance of a test depends on the value of the sample statistic.
The level of significance depends on the alternative hypothesis.
The level of significance is generally set in advance before samples are drawn
The level of significance is the probability of rejecting a null hypothesis when it is in fact true.
Security Inc. is looking for a security officer responsible for the protection and safety of assets, properties, personnel, customers, and all visitors in various client establishments. To evaluate their applicants, some of the following variables were observed:
V - whether or not he/she has been issued firearm, tear gas, and baton permits
E - highest educational attainment (elementary, highschool, college)
X - maximum weight of objects he/she can lift, carry, or push (in pounds)
Y - number of past employment related to security service
Z - whether or not his/her driver's license has been denied/suspended in the past 3 years The level of measurement of variables Y and Z are and , respectively.
ratio, ordinal
interval, nominal
interval, ordinal
Ratio, nominal
Which of the following is(are) TRUE about a normal random variable? 1. Its distribution is symmetric about the median 2. The probability that the random variable is greater than its mode is zero
Neither 1 nor 2
1 only
Both I and 2
2 only
For log514,
(a) Estimate the value of the logarithm between two consecutive integers. For example, log27 is between 2 and 3 because 22<7<23.
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places.
(c) Check the result by using the related exponential form. Part: 0/3 Part 1 of 3
(a) Estimate the value of the logarithm between two consecutive integers.
□<log514<□
7 of 7 Determine which of the following infinite geometric series have a finite sum.
।. 4+5+425+…
II. −7+314−928+…
III. 21−1+2+…
IV. 4+58+2516+…
I, III only
II, IV only
III only
I, II, IV only
Which set of angles has the same terminal arm as 40∘ ?
A) 400∘,760∘,1120∘
B) 220∘,400∘,580∘
C) 80∘,120∘,200∘
D) 130∘,220∘,310∘ Question 7 (1 point)
✓ Saved In which quadrants are the sine ratios negative values?
2 and 4
3 and 4
1 and 3
None of the options
1 and 2
Question 8 (1 point)
Saved
A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost to keep the cylindrical bird feeder filled is $2.00 per week. The equation models the break-even point.
18+3x=24+2x What does x represent?
the total cost to fill the rectangular bird feeder the total cost to fill the cylindrical bird feeder after
the number of weeks the after any number of weeks any number of weeks bird feeders are filled Y
the number of bird feeders purchased each week
Ten balls numbered from 1 to 10 are placed into a bag. Some are grey and some are white.
The balls numbered 1,3,5,7,8,9, and 10 are grey.
The balls numbered 2,4 , and 6 are white.
A ball is selected at random.
Let X be the event that the selected ball is white, and let P(X) be the probability of X. Let not X be the event that the selected ball is not white, and let P (not X ) be the probability of not X.
(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline \multirow{2}{*}{Event} & \multicolumn{10}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\
\hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & \\
\hline X & - & 10 & C & 7 & 4 & ( & 0 & 4 & 0 & 0 & P(X)=□ \\
\hline not X & 0 & T & 0 & \% & 4 & (1) & ( & th & \% & 4 & P(notX)=□ \\
\hline
\end{tabular}
(b) Subtract.
1−P(X)=□
Follow the seven step strategy to graph the following rational function.
f(x)=−x2−41 Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comple
A. The equation(s) of the vertical asymptote(s) is/are x=2,x=−2.
(Type an equation. Use a comma to separate answers as needed.)
B. There is no vertical asymptote. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comp
A. The equation(s) of the horizontal asymptote(s) is/are y=0.
(Type an equation. Use a comma to separate answers as needed.)
B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the giver
x
f(x)=−x2−41−7−4
0
4
7
□□□□□
(Simplify your answers.)
smaller humber than-l.
Use the number line to complete parts (a)-(d). Write the nuthber that represents the phi Then determine which point on the number line corresponds to that number. A loss of 7
Z A gain of 7
W
3 greater than 0
x
less than 0
webassign.net/web/Student/Assignment-Responses/submit?pos=2\&dep=36054629\&tags=autosave"question4777717_2
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SCALCET9 6.1.018.
etch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
PREVIOUS ANSWERS
ASK YOUR
2x+y2=48,x=y Find the area of the region.
The equation −7(w−3)=70 is solved in several steps below.
For each step, choose the reason that best justifies it.
\begin{tabular}{|c|l|}
\hline Step & Reason \\
\hline−7(w−3)=70 & Given equation \\
\hline−7−7(w−3)=−770 & "Choose one" \\
\hlinew−3=−10 & "Choose one" \\
\hlinew−3+3=−10+3 & \begin{tabular}{l}
Sddition Property of Equality \\
Subtraction Property of Equality \\
Multiplication Property of Equality \\
Division Property of Equality \\
Simplifying
\end{tabular} \\
\hline & \begin{tabular}{l}
Distributive Property
\end{tabular} \\
\hline
\end{tabular}
The equation −7(w−3)=70 is solved in several steps below.
For each step, choose the reason that best justifies it.
\begin{tabular}{|c|l|}
\hline Step & Reason \\
\hline−7(w−3)=70 & Given equation \\
\hline−7−7(w−3)=−770 & "Choose one" \\
\hlinew−3=−10 & "Choose one" \\
\hlinew−3+3=−10+3 & "Choose one" \\
\hlinew=−7 & "Choose one" \\
\hline
\end{tabular}
ollow the seven step strategy to graph the following rational function.
f(x)=x2−12x2 What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is 0 .
(Type an integer or a simplified fraction.)
B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The x-intercept(s) is/are 0.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no x-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation(s) of the vertical asymptote(s) is/are □ 7.
(Type an equation. Use a comma to separate answers as needed.)
B. There is no vertical asymptote.
ALGEBRA I-B-TORRES (LMS)
3-1: MathXL for School: Additional Practice (LMS graded)
DUE
Dec 2 - 11:59 pm
Part 1 of 2 Use set-builder notation to describe the domain and range of the function. Describe the domain of the function. If multiple correct answers are possible, use the narrowest possible answer. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
A. {x∣x is an odd integer and □≤x≤□
B. {x∣x<□
C. {x∣x⟩□
D. {x∣x is an integer and □≤x≤□ \} Help me solve this
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Based solely on the information given, do you have reason to question the results of the following hypothetical study? Explain your reasoning. A study by a conservative foundation is designed to assess a new Democratic spending plan. Is there reason to question the results? Select all that apply.
A. Yes, there is reason. It makes sense that a Democratic spending plan would be studied by a conservative foundation.
B. Yes, there is reason. There is a possibility of bias in the study.
C. No, there is not reason. The goal of the study is clear.
D. No, there is not reason. There is no bias in the study.
E. Yes, there is reason. The variables that were measured are not identified.
F. No, there is not reason. It is unlikely that there are any confounding variables in the study.
"ints A. Assessmentic
1 For a school celebration, Principal Johnson purchased a large sheet cake that was cut into 100 pieces. She kept 8 pieces for the office staff and divided the remaining pieces equally among the 4 fifth-grade classes. The shaded diagram below shows the part of the cake that was given to the classes. Which equation shows the part of the cake each class received?
(A) 100÷4=25
(B) 0.92÷4=0.23
(c) 0.08÷4=0.02
(D) 0.92÷4=23
Find two numbers a and b such that the following system of linear equations is consistent dependent.
{ax−5y=b−4x+3y=6 Note that the ALEKS graphing calculator may be helpful in checking your answer.
a=□b=
Shown below are the scatter plots for four data sets. Answer the questions that follow. Figure 1
Figure 2
Figure 3
Figure 4
\begin{tabular}{|l|l|}
\hline (a) Which data set appears to show a nonlinear \\
relationship between its two variables? & (Choose one) \\
\hline \begin{tabular}{l}
(b) Which data set appears to show a positive linear \\
relationship between its two variables?
\end{tabular} & (Choose one) \\
\hline Try again data set appears to show a negative & \\
\hline
\end{tabular}
Listen Identify the graph of h(x)=x+4. Determine when the function is positive, negative, increasing, or decreasing and describe the end behavior of the function. The function is □ over the interval and
over □
Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 55 people had a mean FICO score of 685 with a standard deviation of 80 . Can the economist conclude that the mean FICO score is less than 720 ? Use the α=0.10 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0/5□ Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
H0:□H1:□ This hypothesis test is a □ (Choose one) test. □
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Consider the function
h(x)=−21x2−2x+2 What is the vertex of h ?
□
What is the equation of the line of symmetry of h ?
□h has a Select an answer
□ of
□
The x-intercept(s) of h is/are
□
The y-intercept of h is
□ Graph h(x) Clear All
Draw:
1. [-/1 Points]
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LARCALCPRECALC3 2.2.026.
ASK YOUR TEACHER
PRACTICE ANOTHER Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.)
f(x)=3x5−9x+4.5
The graph rises to the right.
The graph falls to the right.
The graph rises to the left.
The graph falls to the left.
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a) What does the differential equation y′(x)=−7∗y(x) tell us about the graph of y against x (the conventional way to plot x and y )?
(Clear my choice)
The slope of y against x is always -7 times the y-coordinate.
The slope of y against x is always -7 times the x-coordinate.
The rate of change of x is always -7 times the x-coordinate.
The slope of y against x is always -7
The slope of y against x is always −1/7 times the y-coordinate.
3.
[-/1 Points]
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LARCALCPRECALC3 2.2.034.
ASK YOUR TEACHER Use a graphing utility to graph the functions f and g in the same viewing window. Zoom out sufficiently far to determine if the right-hand and left-hand behaviors of f and g appear identical.
f(x)=3x4−6x2,g(x)=3x4
Yes
No
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2 You give a delivery driver $15.50 for a pizza that costs $12.50. You tell the driver to keep the change as a tip. Is the tip more than or less than 20% ?
When solving for the value of x in the equation 4(x−1)+3=18, Aaron wrote the following lines on the boarc
[line 1]
4(x−1)+3=18
[line 2]
4(x−1)=15
[line 3]
4x−1=15
[line 4]
4x=16
[line 5]
x=4 Which property was used incorrectly when going from line 2 to line 3 ?
1) distributive
3) associative
2) commutative
4) multiplicative inverse
(2 points)
Let f(x)=x3−9x2+14
a. Find the critical numbers of f : □ (Separate multiple answers by commas.)
b. Determine the intervals on which f is increasing and decreasing. Help entering intervals
f is increasing on: □f is decreasing on: □
c. Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. (Separate multiple answers by commas, if there is no answer enter "none".) Relative maxima occur at x=□
Relative minima occur at x=□
5.
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LARCALCPRECALC3 2.2.044. Consider the following.
f(x)=x4−x3−56x2
(a) Find all the real zeros of the polynomial function.
x=□ (smallest value) x=□ (largest value) x=□
(b) Determine the multiplicity of each zero and the number of turning points of the graph of the function.
- Select-
- Select-
(smallest x-value)
- Select
(largest x-value) The number of turning points is □ -Select-- ✓
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2uestion 5 (1 point)
The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function h(t)=18sin(50πt)+18, where t is the time, in seconds. What is the period?
a) 50 s
b) 0.04 cm
c) 25 s
d) 0.04 s
- Student A drives a car and hits other causes a loss of \12,000−Theinsurancefeaturesareasfollwing.−1.Ifdriverhitsothersonpurpose,nopayment.−2.Otherwises,themaximumis\9,000
- 3. The customer should pay $1,200 from their own pocket.
- 4. The copayment rate is 16%.
- How much can A claim from insurance company?
y=6(2−1)+26 10. (Calculator Active) After a large snow storm, snow is plowed into a large mound to the side of a parking lot. As the snow melts, the amount of snow remaining can be modeled by S(t)=562e−0.5t where t is measured in days. After 7 days, the amount of snow remaining is better estimated by the linear approximation to S at t=7 days. Use this linear approximation to S to estimate the amount of snow remaining att =8 days.
There is a pair of x and y values that make each equation true in this system of equations:
{5x+3y=84x+7y=34 Explain why the same pair of values also make 9x+10y=42 true.
Question 19 (1 point)
The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the function h(t)=18sin(50πt)+18, where t is the time, in seconds. What is the piston's minimum height?
a) -18 cm
b) 18 cm
c) 0 cm
d) 9 cm
Question 22 (1 point)
The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t)=16cos(120πt)+18, where t is the time, in seconds. What is the radius of the Ferris wheel?
a) 16 m
b) 8 m
c) 9 m
d) 18 m
Question
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Show Examples Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=28(1.01)x
Answer Attempt 2 out of 2
LARCALCPRECALC3 2.2.030. Describe the right-hand and left-hand behavior of the graph of the polynomial function. (Select all that apply.)
f(s)=−65(s3+7s2−9s+6)
The graph rises to the right.
The graph falls to the right.
The graph rises to the left.
The graph falls to the left.
```latex
\text{Eleanna} \text{Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 25. A pollster draws a sample of 90 people to interview.} \text{Part 1 of 5} \text{(a) What is the probability that the sample mean income is less than 36? Round the answer to at least four decimal places.} \text{The probability that the sample mean income is less than 36 is 0.0643.} \text{Part 2 of 5} \text{(b) What is the probability that the sample mean income is between 37 and 43? Round the answer to at least four decimal places.} \text{The probability that the sample mean income is between 37 and 43 is 0.7458.} \text{Part 3 of 5} \text{(c) Find the 10th percentile of the sample mean. Round the answer to at least one decimal place.} \text{The 10th percentile of the sample mean is 36.6.} \text{Part 4 of 5} \text{(d) Would it be unusual for the sample mean to be less than 37? Round the answer to at least four decimal places.} \text{It □ (Choose one) unusual because the probability of the sample mean being less than 37 is □.}
```
Consider the following.
f(x)=x4−x3−56x2
(a) Find all the real zeros of the polynomial function.
x=−7x=0x=8x= (largest value)
- (largest value)
(b) Determine the multiplicity of each zero and the number of turning points of the graph of the fur
multiplicity 1∼
multiplicity 2✓
multiplicity 1∼
(smallest x-value)
(largest x-value)
A fast-food restaurant runs a promotion in which certain food items come with game pieces. According to the restaurant, 1 in 4 game pieces is a winner. If Jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times?
(0.75)5(0.25)5(0.75)4(15)(0.75)4(0.25)(0.75)4(0.25)
3. A table of selected values is given for a one-to-one function, g. What is g−1(1) ?
\begin{tabular}{c|cccccc}
x & -4 & -2 & 0 & 1 & 5 & 8 \\
\hlineg(x) & 10 & 8 & -3 & -1 & -4 & 1
\end{tabular}
Question Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem.
f(x)=x(x−4)2;[0,4] Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c=□
(Type exact answer(s). Use a comma to separate answers as needed.)
B. Rolle's Theorem does not apply.
7. The area of the trapezoid is 40 square millimeters.
a. Find two possible values for each base length.
b. Is it possible for b2 to equal 9 millimeters? Explain.
Let R be the region bounded by the given curves y=x2−8x+16,y=−2x+4,x=2, and x=4. If the line x=k divides R into two regions of equal area, find the value of k.
Tell which property of equality was used.
5353×61=w318=(w318)×61 Choose the correct answer below.
Multiplication Property of Equality
Subtraction Property of Equality
Addition Property of Equality
Division Property of Equality
The relationship between miles and kilometers is shown in the table below.
\begin{tabular}{|c|c|}
\hline Miles & Kilometers \\
\hline 18.2 & 29.12 \\
\hline 29.5 & 47.20 \\
\hline 34.1 & 54.56 \\
\hline 52.8 & 84.48 \\
\hline \hline
\end{tabular} How many miles are in 19.08 kilometers?
11.925
17.48
20.68
30.528
To test H0:μ=50 versus H1:μ<50, a random sample of size n=22 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
Click here to view the t-Distribution Area in Right Tail.
(a) If xˉ=47.5 and s=10.3, compute the test statistic.
t0=□ (Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the α=0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: □
(Round to three decimal places. Use a comma to separate answers as needed.)
(c) Draw a t-distribution that depicts the critical region. Choose the correct answer below.
A. B. c.
(d) Will the researcher reject the null hypothesis?
A. Yes, because the test statistic falls in the critical region.
B. Yes, because the test statistic does not fall in the critical region.
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The operations manager of a company hired a consultant to look for possible ways to improve workers' productivity. The plan recommended by the consultant was applied to a sample of workers, whose mean productivity was compared with their mean productivity before the plan was implemented. The resulting p-value was 0.15 . Based on this result, which would be the correct conclusion and course of action?
the p -value is less than or equal to the significance level.
There is insufficient sample evidence showing that the recommended plan increases workers' productivity. The plan should not be implemented without additional study
A paired sample d test should be applied inthis case.
There is sufficient sample evidence showing that the recommended plan increases workers' productivity. The plan should be implemented to include all workers
Identify each of the following as acidic, basic, or neutral: 1. a solution where the H3O+concentration is greater than the OH−concentration
[ Select ] 2. a solution that is 0.25 M NaOH
[ Select ] 3. a solution that is 1.0 M HCl [ Select ] 4. a solution that has a pH of 10 [Select] 5. a solution of NaCl [ Select]
? Course Help
Problem Value: 1 point(s). Problem Score: 0\%. Attempts Remaining: 8 attempts.
(1 point) Consider the function
f(x)=6x−16x+3 Enter the equations of the vertical asymptotes. If there are no vertical asymptotes, enter none. If there is more than one vertical asymptote, enter a list of the equations separated by a comma (e.g., x=20,x=−7 ). Vertical asymptotes: □
Find the x-intercept(s). If there is more than one x-intercept give a list of the x-intercepts separated by commas (i.e.: (1,2),(3,4)). If there is no x-intercept type in none.
x-intercepts: □
Find the y-intercept: □
Find the domain of f(x) : □
Give your answer in interval notation.
A sinusoidal wave is traveling on a string with speed 107cm/s. The displacement of the particles of the string at x=16cm is found to vary with time according to the equation
y=(1cm)sin[0.84−(5.6s−1)t] The linear density of the string is 1.8g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form
y(x,t)=ymsin(kx−ωt),
what are (c) ym, (d) k, and (e) ω, and (f) the correct choice of sign in front of ω ? (g) What is the tension in the string?
In a poll of 510 human resource professionals, 45.9% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below.
a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags?
□ (Round to the nearest integer as needed.)
b. Construct a 99\% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags.
□<p<□
(Round to three decimal places as needed.)
c. Repeat part (b) using a confidence level of 80%.
□ < <<□
(Round to three decimal places as needed.)
d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider?
proportion.
proportion.
proportion.
proportion.
\begin{tabular}{|c|c|c|c|c|}
\hline So & Fr & So & Jr & So \\
\hline Jr & So & Jr & Sr & So \\
\hline Sr & Sr & Jr & Fr & Fr \\
\hline Sr & Sr & So & Sr & So \\
\hline
\end{tabular} Complete the frequency table. Round the relative frequencies to 2 decimal places as needed.
\begin{tabular}{|c|l|}
\hline Class rank & Frequency \\
\hline Freshmen & □ \\
\hline Sophomores & □ \\
\hline Juniors & □ \\
\hline Seniors & □ \\
\hline
\end{tabular}
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Question 20 The scores on a test for a sample of 41 statistics students are summarized in the following table.
\begin{tabular}{|c|c|}
\hline Number of students & Score \\
\hline 10 & 90 \\
\hline 19 & 80 \\
\hline 12 & 70 \\
\hline
\end{tabular} Find the mean score. Round your answer to at least one decimal place.
□
Problem 33
Let X and Y be two random variables. Suppose that σX2=4, and σY2=9. If we know that the two random variables Z=2X−Y and W=X+Y are independent, find Cov(X,Y) and ρ(X,Y).
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is μ=7,4+A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that xˉ=8.6 with sample standard deviation s=3.1. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood.
Ω USE SALT
(a) What is the level of significance?
□
State the null and alternate hypotheses. (Enter != for = as needed.)
H0 : □H1 : □
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
We'll use the Student's t, since the sample size is large and σ is unknown.
We'll use the standard normal, since the sample size is large and σ is unknown.
We'll use the standard normal, since the sample size is large and σ is known.
We'll use the Student's t, since the sample size is large and σ is known. Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.)
□
A survey of 470 juniors at a university were asked about their living arrangements and their exercise habits.
\begin{tabular}{|l|c|c|c|c|}
\hline & No Regular Exercise & Sporadic Exerclse & Regular Exercise & Total \\
\hline Dormitory & 32 & 30 & 28 & 90 \\
\hline On-Campus Apartment & 74 & 64 & 42 & 180 \\
\hline Off-Campus Apartment & 110 & 25 & 15 & 150 \\
\hline At Home & 39 & 6 & 5 & 50 \\
\hline Total & 255 & 125 & 90 & 470 \\
\hline
\end{tabular} The expected value for students who lived at home and exercised regularly": E= 9.57. What does it mean?
The number of students (on average) who lived at home and exercised regularly is 9.57, assuming that living arrangements and exercise habits are independent.
The number of students (on average) who lived at home and exercised regularly is 9.57, assuming that living arrangements and exercise habits are dependent.
The number of students (on average) who lived at home and exercised regularly is 9.57 , assuming that living arrangements are independent.
The number of students (on average) who lived at home and exercised regularly is 9.57 , assuming that exercise habits are independent.
8. Graph of a function f:R→R is given below:
i. Find limx→1−f(x) and limx→1+f(x).
ii. Does the limit Find limx→1−f(x) exist? Give reason to your answer.
In Exercises 8-10, graph the function. Compare the graph to the graph of the parent function. Identify the y-intercepts and asymptotes of the graph. Find the domain and range of f. 8. f(x)=5(41)x
Select the correct answer.
How will the graph of logx compare to the graph of lnx ?
A. The logx graph will grow slower than the lnx graph.
B. The logx graph will grow faster than the lnx graph.
C. They are inverses of one another.
D. The graphs will be the same.
51 Select ALL the correct answers. Which of the following situations are fair?
To decide which citizens will be asked to participate in a county-wide poll, each citizen is assigned a number and the county uses a random number generator to determine the citizens who will be contacted.
Jason plays a game in which he has to pick a ball from a box of 10 balls, which contains 7 black balls and 3 white balls. He wins the game if he draws a white ball in one attempt.
Jericho designs a game for a school carnival. The game consists of a box of 50 colored balls; 35 are violet, 10 are
orange, and 5 are yellow. The player has to choose one ball from the box. The player wins $5 if it is a yellow ball, otherwise, the player wins nothing. Ryan designs a game where a prize wheel is split into five equal sections. Four sections are red and one is green. If the wheel is spun and lands on a red section, the players loses $1. If the wheel lands on green section, the player wins $5. Ray is playing a game in which he rolls a six-sided number cube. If the outcome is six, he is paid $5. Otherwise, he loses \$1. Jack and Mia both want the last cookie and neither will agree to share by splitting it. They ask a stranger passing by to flip a coin to decide who gets the cookie.
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II in the blank with the appropriate word or phrase. If p^ is the sample proportion and n is the sample size, then np^(1−p^) is the (Choose one)
sample standard deviation population standard deviation standard error sample proportion
1. A reflection over the x-axis maps △ABC to △A′B′C′. Do the preimage and image have the same size and shape? Explain.
Find a congruence transformation that maps △RST to △UVW.
2.
3.
You go to the doctor and he gives you 15 milligrams of radioactive dye. After 12 minutes, 8 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend □ minutes at the doctor's office.
Jelissa and Yari are both computing the product of 0.05 and 0.3. Their work is below:
\begin{tabular}{|c|c|}
\hline Jelissa's Work & Yari's Work \\
\hline1005×103=100015 & 0.05×100=5 \\
& 0.3×10=3 \\
& 5×3=15 \\
& 15÷1,000=0.015 \\
\hline
\end{tabular}
a. Explain the similarities shown in Jelissa and Yari's work.
b. Explain the differences shown in Jelissa and Yari's work.
Researchers want to test a new anti-unxicty medication. They split participants into three conditions (0mg,50mg, and 100 mg), then ask them to rate their anciety leyel on a scale of 1-10. Compute the value of the tes suatistic.
A) F=96.33
B) F=86.33
C) F=77.33
D) F=67.33
\begin{tabular}{|l|l|l|}
\hline Omg & 50 mg & 100 mg \\
\hline 9 & 7 & 4 \\
\hline 8 & 6 & 3 \\
\hline 7 & 6 & 2 \\
\hline 8 & 7 & 3 \\
\hline 8 & 8 & 4 \\
\hline 9 & 7 & 3 \\
\hline 8 & 6 & 2 \\
\hline
\end{tabular}
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Confldence intervals and Hypothesis Testing
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Computing and comparing confidence intervals for a population...
Espanol You are looking at a population and are interested in the proportion p that has a certaln characteristic. Unknown to you, this population proportion is p=0.85.
You have taken a random sample of size n=115 from the population and found that the proportion of the sample that has the characteristic is p=0.84. Your sample is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.)
(a) Based on Sample 1, graph the 75% and 90% confidence intervals for the population proportion. Use 1.150 for the critical value for the 75% confidence interval, and use 1.645 for the critical value for the 90% confidence interval. (If necessary, consult a list of formulas.)
- Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with two decimal places.
- For the points ( ∗ and ∙ ), enter the population proportion, 0.85 .
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凅
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回
(4)
(b) Press the "Generate Samples" button below to simulate taking 19 more samples of size n=115 from the same population. Notice that the confidence intervals for these samoles are drawn automaticallv, Then complete parts (c) and ( d ) below the table.
Explanation
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