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2 years ago

This is due tomorrow, so please help and show step by step

Mathematics

1 answer:

Softa [21]2 years ago

8 0

Answer:

slope = 3/2
y-intercept = 3
x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

12x -8y = -24 . . . . . given

-8y = -12x -24 . . . . .subtract 12x

y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

slope = 3/2

y-intercept = 3

The x-intercept is found fairly easily from the original equation by setting y=0:

12x = -24

x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.

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3 years ago

Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of

VashaNatasha [74]

Answer:

z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size n = 100

mean x = 28,5

Population information

μ₀ = 30

Standard deviation σ = 8

Test Hypothesis

Null Hypothesis H₀ x = μ₀

Alternative Hypothesis Hₐ x < μ₀

We assume CI = 95 % then α = 5 % α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is: z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) = - 1,875

Comparing z(s) and z(c)

|z(s)| < |z(c)| 1,875 > 1,64

z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time

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3 years ago

On a map, a hospital is located at (-42,7). A wreck occurs at (13,-14). How far must the Air Care helicopter fly to reach the wr

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

This is due tomorrow, so please help and show step by step​

This is due tomorrow, so please help and show step by step