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2 years ago

A score that is 6 points below the mean corresponds to a z-score of z = 22.00. What is the population standard deviation?

Mathematics

1 answer:

pochemuha2 years ago

4 0

Answer:

<h2>Standard deviation is a measure of how spread out of numbers are:</h2>

Step-by-step explanation:

a score that is 6 points below the mean corresponds to a z score of z= 22 than the population standard deviation will be

----

z = (distance from mean)/(standard deviation)

-----

22 = 6/s

s = 6/22

s=0.272

The population standard deviation deviation is 0.272

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The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t^2 - 0.5t + 3.

Bingel [31]

The average rate of change (m) is the ratio of the change in function value to the width of the interval:
m = (f(6) - f(2))/(6 - 2)

To compute this, we need to compute f(6) and f(2).
f(6) = (0.25*6 -0.5)*6 +3.5 = 9.5
f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
m = (9.5 - 3.5)/(6 - 2) = 6/4 = 1.5

The average rate of change is 1.5 thousand owners per year.

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2 years ago

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Erin starts with the number 4, adds -3, then subtracts -4. What is the result?

Ksju [112]

Answer:

Erin gets a result number of 5

Step-by-step explanation:

Assuming this is a 'word problem.' -- These are small numbers so you could use your hand for visual. :)

Start with 4 fingers up. (adding a negative to a positive is basically subtraction sooo...) put 3 fingers down. You now have one finger up. (subtracting a negative is just addition, think about taking those two minus signs and putting them together to get an addition sign.) now add 4 fingers to your one finger. You should be left with 5 fingers up!

Hope I helped. Hang in there, it will get easier!

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2 years ago

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Mya is a performance athlete. She wants to use a function to represent the number of calories that she burns while training, whe

Lerok [7]

Answer:

The actual number of calories that Mya burned when she

trained for 30 minutes is 240.

Step-by-step explanation:

We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).

The function is:

$y=45.3e^{0.0548x}$

Where y: calories burned, and x: training time.

Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.

In the table is shown as one of the columns.

For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.

$e=y-\hat y=30-78.36=-48.36$

For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.

The predicted value for x=30 is:

$y(30)=45.3e^{0.0548*30}=45.3*5.18=234.47$

Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes:

$e=y-\hat y=y-234.47=5.53\\\\y=234.47+5.53\\\\y=240$

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2 years ago

Seven friends want to buy a video game together to share. the cost will be evenly split among them. what is the expression that

Burka [1]

Answer:

the correct answer is D

Step-by-step explanation:

if the 7 friends are splitting the cost they are dividing it among themselves.

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1 year ago

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The experience of a car dealer shows that 60% of the customers purchase a stereo as an option with their cars, 50% purchase tint

erica [24]

If 60% purchase a stereo and 50% purchases tinted windows, then the percentage of people who purchased both have been counted twice. So we have to subtract 35% (the % that purchased both) from the sum of the first two percentages:
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Therefore, the probability that a customer picked up any one or both options (which is at least 1) is 75%.

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2 years ago