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Minchanka [31]
3 years ago
11

Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple

random sample of 13 small cars were subjected to a head-on collision at 40 miles per hour. Of them 8 were “totaled,” meaning that the cost of repairs is greater than the value of the car. Another sample of 17 large cars were subjected to the same test, and 5 of them were totaled. Let pX represent the population proportion of small cars that are totaled and let pY represent the population proportion of large cars that are totaled. Find a 95% confidence interval for the difference pX – pY . Round the answers to four decimal places.

Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

-0.0205 < p1 - p2 < 0.6631

Step-by-step explanation:

Here we need to use the formulas for a confidence interval using a difference of 2 given proportions.

Proportion 1 (small cars) = 8/13

Proportion 2 (large cars) = 5/17

A 95% confidence level has a z-score of 1.96 (the method of looking up z-scores doesn't change with using two proportions instead of 1)

See attached photo for formulas and solutions, and the construction of the confidence interval...

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The area of a rectangular horse pasture is 268,500 square yards. The length of the pasture is 5 yards less than three times the
Setler79 [48]

Answer:  width = 300

<u>Step-by-step explanation:</u>

Area (A) = Length (L) x width (w)

Given: A = 268,500

           L = 3w - 5

           w = w

268,500 = (3w - 5) x (w)

268,500 = 3w² - 5w

            0 = 3w² - 5w - 268,500

            0 = (3w + 895) (w - 300)

   0 = 3w + 895        0 = w - 300

  -985/3 = w             300 = w

Since width cannot be negative, disregard w = -985/3

So the only valid answer is: w = 300

   

8 0
3 years ago
Idk what to do here?
creativ13 [48]

1 box =1 foot so you would have to count the boxes away from her

7 0
3 years ago
Read 2 more answers
What are the measures of x y and z
Svetlanka [38]
Hahah what you learning...............
7 0
3 years ago
What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
CaHeK987 [17]

Answer:

64π m³

Step-by-step explanation:

The general formula for the volume of a cylinder:

V = πr²h, where 'r' is the radius and 'h' is the height

In the given problem, the radius is equal to 4 m and the height is equal to 4 m.  Plugging these values into the equation:

V = π4²(4) = π16*4 = 64π m³

5 0
3 years ago
PLEASE HELP WILL GIVE FULL PONITS! 3. Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, o
Artyom0805 [142]

Answer:

The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.

Step-by-step explanation:

You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x

=> x = 50 m / tan(86°)

x = 50 m / 14.30 = 0.98 m

4 0
3 years ago
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