Answer: C =1.35f The constant of proportionality is the coefficient of the variable. Here it is 1.35.
If the equation can be used to calculate the change in the output and the output changes at a constant rate that matches the constant of proportionality,. It is proportional.
Step-by-step explanation: Given:
4C = 5.4f where C represents the batches of Cookies and f represents the cups of flour.
You need to find the amount of f per C.
So divide both sides by 4.
C= 5.4/4
C= 1.35f
This means that each batch of cookies requires 1.35 cups of flour.
Answer:
1/2 = 3/6
1/3 = 4/12
1/5 = 2/10
1/4 = 5/20
Step-by-step explanation:
To make equivalent fractions, you need multiply by 1. A number divided by itself is 1.
1/1 * x/x = x/x = 1
1/2 = 3/6

1/3 = 4/12

1/5 = 2/10

1/4 = 5/20

Hope this helps :)
Have a great day!
Answer: (72.535, 76.665)
Step-by-step explanation:
The confidence interval for population mean is given by :-

, where
= population standard deviation.
n= Sample size
= sample mean.
= Critical z-value (two-tailed)
Given : 
n= 81

The critical values for 90% confidence interval : 
Now, the confidence interval for population mean would be :

Hence, a 90 percent confidence interval estimatefor the average score of all students. : (72.535, 76.665)
<span>2^3x3x5^2
= 8 x 3 x 25
= 600</span>