Answer:
a. n= 47
b. n= 128
Step-by-step explanation:
Hello!
The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.
You need to calculate the sample size to estimate the population with determined error margins.
To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.
The formula of the margin of error (d) is:
d=
* (
)
I've cleared the sample size of the formula

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.
a)
95% CI
d= 8 pounds


n= 46.35 ≅ 47
b)
99% CI
d= 5 pounds


n= 127.49 ≅ 128
I hope it helps!
Answer:
We conclude that the area of the right triangle is:

Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular

Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1





Therefore, we conclude that the area of the right triangle is:

Hence, option A is correct.
Answer:
The answer is A.15c+3
Step-by-step explanation:
Answer: 5
The Distance between the coordinates of two points is measured by distance formula.
Step-by-step explanation:
The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by
Distance PQ=
(x2-x1)²+(y2-y1)²
So, the distance between (-1,4 ) and (2,0) can be calculated by
Distance=
(2-(-1))²+(0-4)²
=
(3)²+(-4)²
=
9+16 =
25 as
25 = 5
Distance = 5
So the distance between the two coordinates is 5.
Answer:
154 minutes to process and spell check 28 pages
Step-by-step explanation:
33 Minutes to process 6 pages
If we divide both of these numbers by 6 we will get the time taken to process 1 page
33 ÷ 6 = 5.5 minutes, and 6 ÷ 6 = 1 page
So 5 and a half minutes per page
To find out how long 28 pages will take, we multiply by 28
5.5 × 28 = 154 minutes, and 1 × 28 = 28 pages
Which gives us the time of 154 minutes to process and spell check 28 pages