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Vinvika [58]
3 years ago
15

Identify the center and radius of the circle (x+4)^2+(y-2)^2=16

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer: center is (-4,2) radius is 4

Step-by-step explanation:

Equation of circle

is (X-A)^2+(X-B)^2=r^2

The center Of The circle is (A, B)

The radius Of The circle is r

Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4

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Heather and her friends are painting the walls of a storage room in the basement. Each wall is 9 m long and 2 m high. There are
inna [77]

Answer:

  • 7 L
  • $26.25

Step-by-step explanation:

The four walls have a linear length of (9 m)×4 = 36 m. Of that, the two 1-meter doors are not painted, so the linear length of the painted area is 34 m. The painted area is 2 m high, so the total area being painted is ...

  A = LW

  A = (34 m)(2 m) = 68 m²

The amount of paint needed for this area is ...

  (68 m²) × (1 L/(10 m²) = 6.8 L

If we assume the paint only comes in units of 1 L, then Heather will need 7 L of paint.

The cost of 7 L of paint is ...

  (7 L) × ($3.75/L) = $26.25

Heather will need 7 L of paint, for a total cost of $26.25.

5 0
2 years ago
Which distribution is used to test the claim that women have a higher mean resting heart rate than men?
xeze [42]

This question is incomplete, the complete question is;

Assume that two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Which distribution is used to test the claim that women have a higher mean resting heart rate than men?

A.t

B.F

C.Normal

D. Chi-square

Answer:

A) t  test

Step-by-step explanation:

A t-test uses sample information to assess how plausible it is for the population means μ1​ and μ2​ to be equal.

The formula for a t-statistic for two population means (with two independent samples), with unknown population variances shows us how to calculate t-test with mean and standard deviation and it depends on the assumption of having an equal variance or not.

If the variances are assumed to be not equal,

he formula is:

t =  (bar X₁ - bar X₂) / √( s₁²/n₁ + s₂²/n₂ )

If the variances are assumed to be equal, the formula is:

t =  (bar X₁ - bar X₂) / √ (((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)) ( 1/n₁ + 1/n₂)

it called t-test for independent samples because the samples are not related to each other, in a way that the outcomes from one sample are unrelated from the other sample.

hence option A is correct. t test

4 0
3 years ago
Please help!
Marat540 [252]

Answer: width = 82.50 m

Step-by-step explanation:

P = 2l x 2w

425 = 2(130) + 2w

425 - 260 = 2w

w = 165 / 2 = 82.50

5 0
3 years ago
GIVING BRAINLIEST PLS HELP!!!!!!1<br><br> Show ur work. And use PEMDAS<br><br> 32+4 x (16 x 1/2) - 2
poizon [28]

Answer:

62

Step-by-step explanation:

32+4x(16x1/2)-2

32+4x8-2

32+32-2

64-2

62

7 0
3 years ago
Help -x/3 &gt; 5 <br><br> A. X&lt;15<br> B. X &gt; -15<br> C. X &lt; -15<br> D. X &gt; 15
Genrish500 [490]

Answer:

Steps

-x/3 >5

Multiply both sides by 3

3(-x/3)>5.3

Simplify

-X> 15

Multiply both sides by - 1 (reverse the inequality)

(-x)(-1)<15(-1)

Simplify

X< -15

so C is the answer

8 0
2 years ago
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