The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Answer:
Matt will need 10176 square quilts to cover the wall
Step-by-step explanation:
To answer this perfectly, we will have to first convert everything to the same unit.
dimensions of the quilt squares = 3 inches
Length of the wall = 1 yard = 36 inches
Breadth of the wall = 212 feet = 2544 inches.
The next step, is to find the area of the wall that Matt is covering.
Area of wall = length X breadth = 36 X 2544 = 
We will also find the area of the square quilts. This is given as length X length = 
=
to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts
= 91584 /9 = 10176 quilts
Matt will need 10176 quilts to cover the wall
Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
I believe that the answer is 14 or 7
See attached graph: v is on the y-axis and t is on the x-axis
