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Fed [463]
3 years ago
15

The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds, it’s green when you ap

proach and can go on through, to 30 seconds with the following distribution shape: The image shows a rectangle shaped distribution. Below the lower left corner of the distribution is a 0 and below the lower right corner of the distribution is a 30, which represents a base of length 30. What is the height of this distribution? Express your answer in decimal form using three decimal places. answer to three decimal places:
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

0.0333

Step-by-step explanation:

(image is missing)

Let's assume that the entire are in the distribution curve is 1

Given

Time taken from 0s to 30s = 30s - 0s = 30s

To find height of the distribution?

Let H = the height of the distribution

Based on the above assumption;.

H * 30 = 1 --- make H the subject of formula

H = 1/30

H = 0.0333

Hence, the calculated height of the distribution is 0.0333

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In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 295 accurate orders and 55 that were not accurat
Afina-wow [57]

Answer: (a)  14.5\%

(b) Restaurant B has a significantly lower percentage of orders that are not accurate.

Step-by-step explanation:

Confidence interval for population proportion is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Given: Significance level : \alpha: 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

For Restaurant A , The proportion of orders not accurate : p=\dfrac{55}{295}\approx0.19

Then , the Confidence interval for population proportion will be :-

0.19\pm (1.96)\sqrt{\dfrac{0.19(1-0.19)}{295}}\\\\=0.19\pm0.045=(0.145,0.235)=(14.5\%,23.5\%)\\\\\text{i.e.}14.5\%

Also, 95​% confidence interval for the percentage of orders that are not accurate at Restaurant​ B:0.138

By comparing both the lower confidence limit and upper confidence limit of the interval for Restaurant B is lower than the lower confidence limit of t and the upper confidence limit of the interval for Restaurant A.

Therefore, Restaurant B has a significantly lower percentage of orders that are not accurate.

3 0
3 years ago
A one-way bus ride costs $1.75. A 30-day bus pass costs $42. When is the 30-day pass a better deal?
motikmotik

Answer:

After 24 days.

Step-by-step explanation:

42 Dollars / 1.75 Dollars per day = 24 Days. This means that at 24 days, the one-way bus ride costs as much as a 30-day pass. After 24 days, the 30-day pass is cheaper.

3 0
2 years ago
Angles inside/ outside/ on circles.
pogonyaev

Answer:

The answer to this question is the letter "B".

The correct description of a sector of a circle is that "A region INSIDE a circle bounded by a central angle and its intercepted arc". The best example of the pizza sliced into pieces.  

Step-by-step explanation:

6 0
3 years ago
Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey's dog weighs 33 pounds. What is the di
wolverine [178]

Answer:

64 ounces.

Step-by-step explanation:

Given:

Drew has two cats.

One cat weighs 17 pounds.

The other one weighs 12 pounds. (instead of 1212 pounds)

Audrey's dog weighs 33 pounds.

Question asked:

What is the difference in ounces between Audrey's dog and the combined weights of Drew's cats ?

Solution:

<u>For Drew </u>

Weight of one cat = 17 pounds

Weight of another cat = 12 pounds

Combined weight = 17 pounds + 12 pounds = 29 pounds

Now, convert it into ounces:-

As we know:

1 pound = 16 ounces

29 pounds = 16 \times 29 = 464 ounces

<u>For Audrey</u>

Weight of dog = 33 pounds

Now, convert it into ounces:-

1 pound = 16 ounces

33 pounds = 16 \times 33 = 528 ounces

Combined weight of Drew's cats = 464 ounces

Weight of Audrey's dog = 528 ounces

Difference = 528 ounces - 464 ounces = 64 ounces

Thus,  the difference in ounces between Audrey's dog and the combined weights of Drew's cats is of 64 ounces.

<u></u>

5 0
3 years ago
What is bigger 3/8 or 7/20
yulyashka [42]
3/8 would be the answer
6 0
3 years ago
Read 2 more answers
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