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3 years ago

Find the slope of the line HELP PLEASE

Mathematics

1 answer:

Darina [25.2K]3 years ago

4 0

1/3 because you follow the formula x2-x2/y2-y1

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A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

3 years ago

0.28 out of 0.95 <br>this is urgent please help

forsale [732]

Answer:

0.294736842

Step-by-step explanation:

8 0

3 years ago

If the consumption function is C = $200 billion + 0.5Y, Note: some values are in 'trillions' and others are in 'billions'. (

Strike441 [17]

Answer: The marginal propensity to consume (MPC) in the given equation is 0.5.

The formula above is in slope intercept form. The MPC is like the slope of the equation. It gives the change in consumption, C, over the change in income, Y.

For example, if we let Y = 1, then the consumption will go from 200 to 200.5. It was a change of 0.5 over 1. Or just 0.5.

4 0

4 years ago

Order the values from least to greatest. |-6|, -7, 8, |5|, -6

adelina 88 [10]

Answer:

-1/8 < 0.33 < 3/8 < 75% < 1 5/8

7 0

3 years ago

If 2x + 7 = -21, what does 2 - x equal?

gogolik [260]

Answer:

Step-by-step explanation: