Answer:
CI = 29.8 ± 3.53
Critical value is z = 2.58
Step-by-step explanation:
First of all let's find margin of error. It is given by the formula;
ME = zσ/√n
We are given;
Standard deviation; σ = 3.62
Sample size; n = 7
Mean; x¯ = 29.8
Now, z-value for 99% Confidence level is 2.58
Thus;
ME = (2.58 × 3.62)/√7
ME = 3.53
CI is written as;
CI = x¯ ± ME
CI = 29.8 ± 3.53
Critical value is z = 2.58
Answer: The person's speed is 8 miles per hour.
Step-by-step explanation:
To solve we want to convert the 
and 
proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.
×
Since we multiplied that to the number of hours we must also do that for the number of miles.
×
32 square root 6
use the pythagoream theorum
the sides would be 32 and 16. 16^2+x^2=32^2
The equation for a equilateral triangle is the side squared times root 3 divided by 4
There are 30 days in April.
If 18 days had rain, it means 12 didn't.
18/30=x/100
Make sure both fractions can be made into fractions with a denominator of 100:
180/300=x/100
Divide 180/300 by 3:
60/100=x/100
This shows that the 18 days that did rain take up 60% of the whole month.
So then the remaining 12 days that didn't have rain must take up 40% of the month.
Solution:
40% of the days did not have rain during the month of April
