Set up a proportion: x/y = x/y
(.75)/(15) = (x)/(25)
Then cross multiply:
(.75)(25) = (15)(x)
18.75 = 15x
x = 1.25 or (5/4)
There you go :)
I rounded it and the answer is 400
Answer:
= −0.26
= 0.4219
Step-by-step explanation:
Given:
Sample1: 98.1 98.8 97.3 97.5 97.9
Sample2: 98.7 99.4 97.7 97.1 98.0
Sample 1 Sample 2 Difference d
98.1 98.7 -0.6
98.8 99.4 -0.6
97.3 97.7 -0.4
97.5 97.1 0.4
97.9 98.0 -0.1
To find:
Find the values of
and 
d overbar (
) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
= ∑d/n
= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
= −1.3 / 5
= −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
= √∑(
-
)²/ n-1
=
√ 
= √ (−0.6 − (−0.26
))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −
(−0.26))² + (−0.1 − (−0.26))² / 5−1
=
= 
= 
= 0.4219
= 0.4219
Subscript d represent
μ
represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.
Answer:
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Step-by-step explanation:
We need to find the amount each university gets.
Let
Northern U get n
Western U get w
Eastern U get e
We can write equations from the given word problem:
n + w + e = 110
and
n = 2w
e = n + w - 10
Putting 2nd in 3rd, we get:
e = 2w + w - 10
e = 3w - 10
Now putting this and 2nd in first, we solve for w:
n + w + e = 110
2w + w + 3w - 10 = 110
6w = 120
w = 20
AND n = 2 (20) = 40
AND e = 3(20) - 10 = 50
So,
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Answer:
5 years
Step-by-step explanation:
If the population of penguins is given by the function:

Initial Size =
Triple its Initial Size, P(t)=
Therefore:

It therefore takes 5 years for the penguin population to triple in size.