Answer:
Vertex form:
Standard form:
Step-by-step explanation:
A quadratic function in vertex form is where is the vertex.
We are given .
Let's plug that in:
.
Now let's find .
We will use the -intercept to find .
So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that:
You have to place the numbers on the correct location of the number line. Let me guide you ☺
0.5 goes halfway between the 0 and 1. You will place a dot which is called a point halfway between 0 and 1.
-2.1 going to the left you will place a tiny dot that represents -2.10.
1 2/3 also known as 1.66 will be placed beteeen the 1 and 2. I think you are getting the picture now. right!
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Your answer would be -3/4n+3/8 because 1/4•-3/1n would be -3/4n and then 1/4•3/2 would be 3/8 so your answer would then be -3/4n+3/8.
12!!!! Hope this helped and good encouragement
Answer:
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
Step-by-step explanation:
The scenario presented can be modeled by a binomial model;
The probability of success is, p = 0.65
There are n = 80 independent trials
Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;
Pr(X > 42)
In this case we can use the normal approximation to the binomial model;
mu = n*p = 80(0.65) = 52
sigma^2 = n*p*(1-p) = 18.2
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905