Step-by-step explanation:
from difference of two squares:
therefore:
factorise out ¾ :
The range is all the second values or ys
[-7, -1, 0, 2, 8]
Answer:
Exponential
Step-by-step explanation:
<em>Starter:</em>
According to the title:
"Every day, half a bacteria population dies."
Exponential: y = ab^x ( b > 0 , b ≠ 1)
So the answer is C.
<em>Calculations:</em>
An exponential model is of the form y = a • b^t.
If you start with population of 500 million bacteria
t = 0
so 500 million = a • b^0 = a
Since every day half the population dies then in 1 day population will be 250 million
so a = 500 million, y = 250 million and t = 1
250 million = 500 million • b^1
b = 0.5
Therefore your equation would be
y = 500 million (or whatever the pop) • 0.5^t
Where t = number of days
This could also be written in exponential form ( e = 2.73)
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
Note that 
and 
are the legs of the triangle and 
is the hypotenuse:
Substitute the lengths of the sides into the equation:
Therefore this triangle is a right triangle.
Answer:
The answer to the given problem is given below.
Step-by-step explanation:
What values do p, q,n,E and p represents?
The value of p is the sample proportion.
The value of q is found from evaluating 1− p.
The value of n is the sample size.
The value of E is the margin of error.
The value of p is the population proportion.
If the confidence level is 90%, what is the value of α?
α = 1- 0.90
α = 0.10
