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2 years ago

Determine the equation of the circle graphed below.

Mathematics

1 answer:

Bond [772]2 years ago

8 0

Answer:

$(x+7)^2+(y-2)^2=4$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius.

Since the center is $(h,k)\rightarrow(-7,2)$ , and the radius is $r=2$ , then the equation of the circle graphed is $(x-(-7))^2+(y-2)^2=2^2=(x+7)^2+(y-2)^2=4$ .

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Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a st

snow_lady [41]

In math notation, we've done this: z = (X - μ) / σ = (940 - 850) / 100 = 0.90 where z is the z-score X is Vivian's score (940) µ is the mean (850) σ is the standard deviation (100) As you may know, in a normal distribution it's expected that about 68% of all observations will fall within 1 standard deviation of the mean, 95% will fall within 2 standard deviations, and 99% will fall within 3 standard deviations.
940 lie before the first standard deviation, in which 16.5% is above it
since 940 is 0.9 from the mean and 0.1 from the first standard deviation
so above it is 17.5 % = 0.175 or about 0.18

4 0

2 years ago

Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

vodomira [7]

The equation is y=-x+5

4 0

3 years ago

Read 2 more answers

How many 0.45-ounce packages of cinnamon can be made with 3.15 ounces of cinnamon?

Ghella [55]

Answer:

7 packages of cinnamon

Step-by-step explanation:

3.15/0.45 = 7

5 0

3 years ago

Read 2 more answers

Quadrilateral ABCD is inscribed in this circle.

Sedbober [7]

The answer to this is 65.

Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.

First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.

Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65

4 0

2 years ago

Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f

worty [1.4K]

Answer:

Part 1:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2: $270

Part 3: $320

Part 4: 11 months

Part 5: See explanation below

Step-by-step explanation:

Part 1:

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2:

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

Part 3:

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

Part 4:

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

Part 5:

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

4 0

3 years ago