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elixir [45]
3 years ago
5

the mean amount of money spent per week on gas by a sample of 25 drivers was found to be $57.00 with a standard deviation of $2.

36. assuming the population distribution is normally distributed construct and interpret a 90% confidence interval for the mean amount of money spent on Gas per week​
Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

To construct a confidence interval we use the following formula:

ci = (sample mean) +- z*(sd)/[n^(1/2)]

The sample mean is 57, the standard deviation is 2.36, n s 25 and z is the  upper (1-C)/2 critical value for the standard normal distribution. Here, as we want a confidence interval at a 90% we have (1-C)/2=0.05 we have to look at the 1-0.05=0.95 value at the normal distribution table, which is 1.65 approximately. Replacing all these values:

ci = 57 +- 1.65*(2.36)/[25^(1/2)]

ci = 57 +- 3.894*/(5) = 57 +- 0.78

ci => (56.22 , 57.78)

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Just make the equations equal to each other.  -0.5x+5=3x-2.  Solve for x and find that it is 2, via simple algebra.  Since you know x is 2, sub it in in either equation to find y.  y should be 4.  So the point that fits both equation is (2,4).  This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
3 0
3 years ago
Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the
stepan [7]

Answer:

<h3>               A =  ²⁵/₄x² + ⁷⁵/₂x + 50</h3>

Step-by-step explanation:

L = ⁵/₂x + 10

W = ⁵/₂x + 5

A = L•W

A = (⁵/₂x + 10)(⁵/₂x + 5)

A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5

A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50

A =  ²⁵/₄x² + ⁷⁵/₂x + 50

Or if yoy mean:

L = 5/(2x) + 10

W = 5/(2x) + 5

A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50

8 0
3 years ago
Find the surface area of the figure.<br> PLEASE HELP!
olya-2409 [2.1K]

Answer:

The total surface area is: 468 in^2  which agrees with answer a)

Step-by-step explanation:

The three lateral faces of the prism are rectangles, and the sums of their areas give:

12 * 10 + 9 * 10 + 15 * 10 = 360 in^2

The area of each triangular base (notice it is a right triangle) is given by:

9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:

Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2

6 0
3 years ago
Which of these relationships would most likely have a NEGATIVE correlation?
Luda [366]
<h3>Answer:  Choice C</h3>

Explanation:

As the person spends more time raking, the number of leaves will go down. Therefore, we have a negative correlation. Such correlations occur when one variable goes up while the other goes down (and vice versa).

The reason why it's considered negative correlation is because the regression line has a negative slope.

This is why choice C is the answer. This assumes that no extra leaves fall on the ground, and we assume that we don't have nearby leaves blow into the yard.

In contrast, something like choice A has both variables go up together. As the temperature rises, so does the ice cream sales. The same goes for choice B. We consider these cases to have positive correlation. Choice D doesn't appear to have any correlation at all. The person's height doesn't have any connection to the number of pets they may have.

3 0
2 years ago
Read 2 more answers
Helpppp Plsssss Asap!! ​
Anit [1.1K]

Answer:

B

Step-by-step explanation:

The answer would be B, because the y-intercept is positive. To double check I used an online graphing calculator and it is correct.

Hope This Helps!   Have A Nice Day!!

8 0
3 years ago
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