For directly proportional relationship, both variables change in the same direction. It means that an increase in one variable will result to an increase in the other variable. A decrease in one variable will result to a decrease in the other variable.

y and x have a proportional relationship,

We will introduce a proportionality constant and replace the proportionality symbol with an equal to symbol. Thus

y = kx

When y is 12, x is 8

Substituting into the equation,

12 = k × 8

k = 12/8 = 1.5

The equation becomes

y = 1.5x

The value of x when y is 18 will be

18 = 1.5x

x = 18/1.5 = 12

5 0

3 years ago

HELP PLEASE I WILL GIVE BRAINLIEST!!!!

devlian [24]

Answer:

Would you mind posting a picture instead thank you.

4 0

3 years ago

Read 2 more answers

Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance

ElenaW [278]

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

<h3>A. How to state the hypothesis</h3>

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

<h3>B. standard error </h3>

$\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }$

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

= 1.310

E. At 0.1, we can conclude that t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

Read more on statistics here brainly.com/question/7597734

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4 0

2 years ago

Need help ASAP I don’t understand what to do because x = 2 and y = 3 but they don’t divide into each other evenly so is it a dec

Artyom0805 [142]

Answer:

You can have it as a decimal (0.6 repeatings), or you can have it as a fraction. It would be easier to keep it as a fraction.

3 0

3 years ago