Step-by-step explanation:
You didn't give the box plot, but to obtain the percentage of people between 20 and 37 years old, first of all, find the total number of people, T. Next, find the total number of people between 20 and 37 years old, t.
Then the percentage we want to find is:
P = T/t × 100
Answer:
x = 15 or x = -19
Step-by-step explanation:
ΔPQR similar to ΔSQT
SQ / QP = ST / PR
8 / 8+x+5 = x-9 / 21
8 / 13+x = x-9 / 21
(x+13)(X-9) = 168
x² + 4x - 117 = 168
x² + 4x - 285 = 0
(x - 15) (x + 19) = 0
x = 15 or x = -19
The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have


Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.
Answer:
b
Step-by-step explanation:
Answer:
The 90% confidence interval is (64.0101, 68.9899).
Step-by-step explanation:
Our sample size is 310.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 309 and 0.05 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s

Then
LCL is the mean subtracted by M. So:

UCL is the mean added to M. So:

The 90% confidence interval is (64.0101, 68.9899).