<em>Answers</em><em>:</em>
<em>Area</em><em>:</em><em> </em><em>5</em><em>0</em><em>.</em><em>2</em><em>4</em><em>m</em><em>^</em><em>2</em>
<em>Cir</em><em>cumference</em><em>:</em><em> </em><em>2</em><em>5</em><em>.</em><em>1</em><em>2</em><em> </em><em>m</em>
<em>pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> for</em><em> full</em><em> solution</em>
<em>hope </em><em>it</em><em> helps</em>
<em>good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
Set up an equation for both Sarah and Joe.
Sarah's equation would be 59+19.50x=y
Joe's Equation would be 149+9.50x=y
The goal is to get y to equal the lowest number. If we plug in 1 for x for both equations we get:
59+19.50(1)=y for sarah and Joes would be 149+9.50(1)=y.
Sarah would pay $78.50 for her 1st month and Joe would pay $158.5 for his 1st month. Sarah pays much less than joe but over a few months Sarah would pay more eventually. Hope I helped and if you have any questions, just leave a comment.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.
The standard errors are given by:


For the distribution of differences, the <u>mean and the standard error</u> are given by:


The interval is given by:

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.
Then:


The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check brainly.com/question/16162795
Since the functions are not included, I can help you with some examples and a general explanations which will help you to solve this kind of problems.
1) Assumption: all the functions that are considered are linear.
That means that f(x) = x is the parent function, and you can obtain the other functions by a set of transformations (translation and scalation) of the parent function.
2) Example 1: y = x + a
This is a special case of adding a constant to the function.
In this case, the graph of the new function is the graph of the parent function shifted a units upward.
3) Example: y = 5x
This is a special case of multiplying the function times a constant.
The result is streching the graph vertically by the same scale factor.
4) Example: y = (1/5)x - 8
In this case, the graph of y is obtained by scaling the parent function f(x) = x by 1/5 (which results in compressing the parent function vertically) and shifting the parent function 8 units downward.
Answer:
12.9 cm ( nearest tenth )
Step-by-step explanation:
sin 40° =
( multiply both sides by 20 )
20 × sin 40° = b, hence
b = AC = 20 × sin 40° = 12.9