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3 years ago

The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct?

Mathematics

2 answers:

MAVERICK [17]3 years ago

5 0

The correct answer is

C) The initial value is 32, and the rate of change is 1.

I just took the quiz on edge

sukhopar [10]3 years ago

4 0

Answer:

B) The initial value is 22, and the rate of change is 15.

Step-by-step explanation:

The first point is located at (22, 54). This means the initial value is 22.

The rate of change is found using the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the first two points, we have

$m=\frac{69-54}{37-22}\\\\=\frac{15}{15}=1$

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9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days

andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score$

Given that:

$\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67$

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0

3 years ago

On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the sol

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

For this qestion u will do step b

6 0

2 years ago

A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the

ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

$x=y+15$ ----> equation A

The volume of the box is equal to

$V=LWH$

we have

$V=1,350\ in^3$

$L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in$

$H=3\ in$

substitute in the formula of volume

$1,350=(x-6)(y-6)(3)$ ----> equation B

substitute equation A in equation B

$1,350=(y+15-6)(y-6)(3)$

solve for y

$450=(y+9)(y-6)$

$y^2-6y+9y-54=450\\y^2+3y-504=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

$x=21+15=36$

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0

3 years ago

Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation

marishachu [46]

Y = 9x means each box of the new brand is $9.

So the old brand is $2 per box more. I know you 

can do part B now!
Hope that helps!!!!!!!!!

8 0

3 years ago

Read 2 more answers

603.8 275.4 -_____ What’s that? But can you put the steps??

Aleksandr-060686 [28]

Answer:

328.4

Step-by-step explanation:

sorry I don't know the step by step

4 0

3 years ago