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3 years ago

Give the center and radius of the circle (x + 2)2 + (y - 4)2 =36

Mathematics

1 answer:

AURORKA [14]3 years ago

6 0

Answer:

<h2>B. Center: (-2, 4)</h2><h2>Radius: 6</h2>

Step-by-step explanation:

The equation of a circle:

$(y-h)^2+(y-k)^2=r^2$

Where

$(h,\ k)$ - center

$r$ - radius

We have the equation

$(x+2)^2+(y-4)^2=36\\\\\bigg(x-(-2)\bigg)^2+(y-4)^2=6^2$

Therefore

the center is (-2, 4)

the radius is 6

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Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd =

swat32

Answer:

Test statistic, $t_{s} = -0.603$ (to 3 dp)

Step-by-step explanation:

Deviation, d = x -y

Sample mean for the deviation

$\bar{d} = \frac{\sum x-y}{n}$

$\bar{d} = \frac{(28-6) + (31-27)+(20-26)+(25-25)+(28-29)+(27-32)+(33-33)+(35-34)}{8} \\\bar{d} = -0.625$

Standard deviation: $SD = \sqrt{\frac{\sum d^{2} - n \bar{d}^2}{n-1} }$

$\sum d^{2} = (28-26)^2 + (31-27)^2 +(20-26)^2 +(25-25)^2 +(28-29)^2 +(27-32)^2 +(33-33)^2 +(35-34)^2\\\sum d^{2} = 63$

$SD = \sqrt{\frac{63 - 8 * (-0.625)^2}{8-1} }$

SD =2.93

Under the null hypothesis, the formula for the test statistics will be given by:

$t_{s} = \frac{ \bar{d}}{s_{d}/\sqrt{n} } \\t_{s} = \frac{- 0.625}{2.93/\sqrt{8} }$

$t_{s} = -0.6033$

6 0

3 years ago

What is the equation of the line through (7, -1) with slope -3?

Slav-nsk [51]

Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.

y-(-1)=-3(x-7)
y+1=-3(x-7)

Final answer: B

3 0

3 years ago

Read 2 more answers

Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know.

stepladder [879]

Answer:

Less than 1

Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

$0.644=\frac{1}{p}$

$0.25=\frac{1}{q}$

where p and q are greater than 1

then

$0.644\times0.24=\frac{1}{p.q}$

But p.q is greater than 1, so 1/(p.q) is smaller than 1

7 0

3 years ago

Read 2 more answers

masha68 [24]

Answer: Um It’s C?

Step-by-step explanation:

8 0

3 years ago

The manager of a store orders model railroad sets that cost $390 and sells them for $429. What is the mark-up, as a percentage?

Katarina [22]

Answer:

10%

Step-by-step explanation:

We have been given that the manager of a store orders model railroad sets that cost $390 and sells them for $429.

We will use markup % formula for our given problem.

$\text{Markup percentage}=\frac{\text{Selling price- Cost}}{\text{Cost}}\times 100$

$\text{Markup percentage}=\frac{429-390}{390}\times 100$

$\text{Markup percentage}=\frac{39}{390}\times 100$

$\text{Markup percentage}=\frac{1}{10}\times 100$

$\text{Markup percentage}=10$

Therefore, markup is 10% of cost.

4 0

3 years ago