The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
<h3>What is the probability?</h3>
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The complement of an event is the remaining possibilities.
Our event is Mariah choosing 3 mysteries.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
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Answer:
The slope of the line is 
.
Step-by-step explanation:
We are given two coordinate points:
We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
Therefore, we can also label our coordinates as such:
Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.
Therefore, our slope is .
F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.
The balance in dollars and cents in Yolanda's account at the end of 4 years is $5,355.29
What is the future value of an ordinary?
An ordinary annuity is the one where the monthly deposit occurs at the end of each month rather than at the beginning of the months such its future value based on 5.5% annual interest rate can be determined thus:
FV=PMT*(1+r)^N-1/r
FV=balance in dollars and cents in Yolanda's account at the end of 4 years=unknown
PMT=monthly deposit=$100
r=monthly interest rate=5.5%/12=0.00458333333333333
N=number of monthly deposits in 4 years=4*12=48
FV=$100*(1+0.00458333333333333)^48-1/0.00458333333333333
FV=$5,355.29
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Missing question:
What was the balance in dollars and cents in Yolanda's account at the end of 4 years?
