Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.
Step-by-step explanation:
We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.
The mean of the uniform distribution is:

The standard deviation of the uniform distribution is:

The sampling distribution can be approximated as a normal distribution with the following parameters:

We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score:

Answer:
r = 9 and m = 112
Step-by-step explanation:

Write W in terms of U and V.

Define U and V using geometric series formula.

Use sum of geometric series formula.

Simplify.

Therefore, r = 9 and m = 112.
Answer:
9 inches
Step-by-step explanation:
Diameter=D
Radius=R
D=(2)R
(18)=(2)R
18/2=2/2 R
9=R
Answer:
0.29
Step-by-step explanation:
z-score is given by the formula:
z=(μ-M)/σ where
- μ is the hypothesis drive distance, which is 222
- M is the mean sample drive distance
- σ is the standard deviation of the sample drive distance
Therefore
z=(222-218)/14≈0.29