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Kaylis [27]
3 years ago
7

In the United States, the distribution of a female's height has a mean of 64 inches with a standard deviation of 3 inches. How m

any standard deviations from the mean is Sally, who is 69 inches tall?
Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

The standard deviations is \frac{-5}{3}  

Step-by-step explanation:"

Given mean female height = 64 inches and standard devaiton = 3 inches and 69 inches tall is Sally.

We know the distance of a data point from:

Z =\frac{64-69}{3} = \frac{-5}{3}

So the standard deviations is \frac{-5}{3}  

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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
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Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0
3 years ago
How does a change in demand relate to a demand curve
marissa [1.9K]
A change in any one of the underlying factors that determine what quantity people are willing to buy at a given price will cause a shift in demand. Graphically, the new demand curve lies either to the right (an increase) or to the left (a decrease) of the original demand curve.
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3 years ago
Find the distance between the two points.
Ksenya-84 [330]

Hey there!

Distance formula:

d = \sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }

Plug in variables:

d = \sqrt{(0-(-6))+(0-(-7))}

Simplify.

d = \sqrt{6+7}

d = \sqrt{13}

The distance between the two points is \sqrt{13}  units.

Hope this helps!

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Answer:

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Answer:

FATIMA (LOLOLOLOLOLOLOLOLOLOL)

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Step-by-step explanation:

5+15+20=40

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