Answer:
4
Step-by-step explanation:
8(1)^2 -5(1) +1
8(1) -5(1) +1
8 -5 +1
4
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
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Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following

Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
Answer: 101.69
Step-by-step explanation:
Formula we use to find the z-score :-
(1)
Given : 

Daniel's z score : z= 1.67
Let x be the raw score for Daniel's exam grade, then substitute the values of
in (1), we get

Hence, the raw score for Daniel's exam grade = 101.69
Answer:
x=
Step-by-step explanation:
Step 1: Multiply both sides by x,
gx=−c+x
Step 2: Add -x to both sides.
gx+−x=−c+x+−x
gx−x=−c
Step 3: Factor out variable x.
x(g−1)=−c
Step 4: Divide both sides by g-1.

x=
Hope this helps!
Answer: The probability distribution for the number of cells in the third generation is a Binomial distribution.
Step-by-step explanation:
We use binomial distribution when we have repeated process and the outcome is either a success or a failure.
The probability of success. P ( probability of dying). The probability of failure q ( probability of splitting into two).
The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.