Answer:
c. 4.27
Step-by-step explanation:
We have been given the regression equation of for predicting number of speeding tickets (Y) from information about driver age (X) as
.
To find the predicted number of tickets for a twenty-year-old, we will substitute
in our given equation.



Therefore, the predicted number of tickets for a twenty-year-old would be 4.27 tickets.
Answer: D. Subtracting 9 from each side
Step-by-step explanation:
Always start with numbers without variables first before doing anything with x. And make sure one side must not equal 0 unless you're doing polynomials.
Let
x----------> length of the base
y----------> height
we know that
[the area of triangle]=[length of the base]*[height]/2
x=2y
A=225 km²
225=x*y/2---------> 225=(2y)*y/2-----> y²=225--------> y=15 km
x=2y--------> x=2*15------> x=30 km
the answer is
the height is 15 km
Answer:

The expected values for all the categories is :

And then the statistic would be given by:

And the best option would be:
b. 4
Step-by-step explanation:
For this problem we have the following observed values:
Yes 40 No 60 No Opinion 50
And we want to test the following hypothesis:
Null hypothesis: All the opinions are uniformly distributed
Alternative hypothesis: Not All the opinions are uniformly distributed
And for this case the statistic would be given by:

The expected values for all the categories is :

And then the statistic would be given by:

And the best option would be:
b. 4
Answer:
The maximum possible number of mosquitoes is 25 millions
Step-by-step explanation:
Let
m(x) -----> the number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes)
x ----> the rainfall in centimeters
we have

This is a quadratic equation (vertical parabola) open downward
The vertex is the maximum
we know that
The maximum possible number of mosquitoes is equal to the y-coordinate of the vertex
Find out the coordinate of the vertex
The general equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
so
In this problem
a=-1 (open downward)
(h,k)=(5,25)
The y-coordinate is 25
therefore
The maximum possible number of mosquitoes is 25 millions