Answer:
B
Step-by-step explanation:
33.8 Rounded
Use Pythagorean theorem :)
Brainliest?
Answer:
182.41
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

40th percentile
Value of X when Z has a pvalue of 0.4. So X when Z = -0.253.




So the answer is 182.41.
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
9514 1404 393
Answer:
20 2/3 miles
Step-by-step explanation:
Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:
(2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3
Jamal hiked 20 2/3 miles.
Answer:
C
Step-by-step explanation:
Here, we want to find an equation in the options which is same as the equation given in the question;
The equation we are testing against is;
0.05n + 0.1d = 3.65
What we can do here is divide through by 0.01
So we will have;
0.05n/0.01 + 0.1d/0.01 = 3.65/0.01
= 5n + 10d = 365