The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of m
oney he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.
(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent. Please use the graph that has been provided
The table shows the amount of money Carl earns for different numbers of hours worked.
(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.
(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent. Please use the graph that has been provided
1 answer:
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Answer:
The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).
Step-by-step explanation:
We want to calculate the bounds of a 95% confidence interval of the difference between proportions.
For a 95% CI, the critical value for z is z=1.96.
The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.
The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.
The difference between proportions is (p1-p2)=-0.058.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, the margin of error is:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the difference between proportions is (-0.102, -0.014).
Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius =
radius = 21