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3 years ago

The center of a circle is located at (−2, 7) . The radius of the circle is 2.

Mathematics

1 answer:

professor190 [17]3 years ago

5 0

Hello :
an equation is : (x+2)² +(y-7)² = 4
x² +4x+4 +y² -14y +49 = 4
x² +4x+y² -14y +49 = 0 ....( answer : 3)

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the mean of the commute time to work for a resident of a certain city is 28.8 minutes. assume the standard deviation of the comm

hjlf

Answer:

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

Step-by-step explanation:

We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.

Chebyshev Theorem

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

Applying the Theorem

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

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3 years ago

Pump-a-Bunch Water Pump Company has a sump pump that will pump water with a flow of 2500 gallons per hour. Is the number of gall

Alexxx [7]

Answer:

Step-by-step explanation:

because

7 0

3 years ago

Read 2 more answers

Find the area of the shaded region in the figure below. 5in. 8in.

Fiesta28 [93]

Hi there!

Answer:

The area of the shaded region is 28 in²

Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches

A = 8 × 5

A = 40 in²

Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches

A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²

Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²

There you go! I really hope this helped, if there's anything just let me know! :)

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3 years ago

Which of the following can prove that figure ABCD is a square?

Klio2033 [76]

Answer:

Step-by-step explanation:

all sides of square is 90degrees

Since AC and BD is the same, when you join the lines together, it will definitely be a square

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3 years ago

Divide the fractions and simplify the answer 60 / 2 2/3

balu736 [363]

2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

Please mark my answer as the brainliest answer, I'd really appreciate it, thanks!

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3 years ago

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