MATHEMATICS COLLEGE

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?

Answers

Answer 1

Answer:

Answer:

The probability is $P(X < 25) = 0.308$

Step-by-step explanation:

From the question we are told that

The amount of time is uniform probability distribution between 21 and 38 minutes.

Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

$P(X < 25) = ( 25 - 21)/(38 - 21)$

=> $P(X < 25) = 0.308$

Related Questions

Solve 3sqrt(x) = 8/(sqrt(9x - 32)) + sqrt(9x - 32)
A new homeowner needs to put up a fence to make his yard secure. the house itself forms the south boundary and the garage forms the west boundary of the property, so he needs to fence only 2 sides. the area of the yard is 4000 sq ft. he has enough material for 160 ft of fence. find the length and width of the yard.
What is the probability of selecting a cherry piece? Write answer as a reduced fraction.
Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.
3) A particular motorcycle is 9 ft long. Amodel of it was built with a scale of 1 in :3ft. How long is the model?

You are going to play mini golf. A ball machine that contains 23 green golf balls, 24 red golf balls, 18 blue golf balls, and 24 yellow golf balls, randomly gives you your ball. What is the probability that you end up with a red golf ball?

Answers

Answer:

$(24)/(89)$ chance or ≈27% chance or 0.27

Step-by-step explanation:

P of getting a red golf ball: $(24)/(23+24+18+24) =(24)/(89)$

What is the value of (–7 + 3i) + (2 – 6i)? a. –9 – 3i
b. –9 + 9i
c. –5 + 9i
d. –5 – 3i

Answers

Answer:

Step-by-step explanation:

(-7 + 3i) + (2-6i)

=-7 + 3i + 2 -6i

=(-7+2) + (3i -6i)

=-5 -3i

Answer:

(-7+3I)+(2-6I)

= -7+3i+2-6i

= -5-3I

so answer is d ie -5-3i

Suppose a parallelogram has sides of length a and b. Is this enough information to compute the area of the parallelogram? If not, what additional information is required?

Answers

Answer:

No. it's not enough

Step-by-step explanation:

1) No. it's not enough

2) To compute the area of a parallelogram it's necessary the height of the parallelogram, i.e. a perpendicular line segment from the base up to its parallel side.

3) Because a parallelogram is made up by two triangles and the area of it is calculated using the height. Then to cover the area of a parallelogram it's mandatory to calculate the height, the perpendicular distance between their horizontal sides.

Final answer:

No, the lengths of the sides of a parallelogram alone are not enough to compute its area. Additional information, such as the length of the perpendicular distance between the sides, is needed to calculate the area.

Explanation:

No, the lengths of the sides of a parallelogram alone are not enough to compute its area. To calculate the area of a parallelogram, you need two pieces of information: the length of one of its sides and the length of the corresponding altitude (or height), which is the perpendicular distance between the side and the opposite side. With just the lengths of a and b, we don't know the height, so we can't calculate the area.

To find the area of a parallelogram, you can use the formula: Area = base x height. The base is one of the side lengths, and the height is the length of the perpendicular from the base to the opposite side.

For example, if side a is the base, the height is the distance between side a and the opposite side, which can be found by drawing a perpendicular line. Once you know the height, you can calculate the area using the formula: Area = a x height.