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ira [324]
3 years ago
14

The circumference of a pizza is 75.36 in. What is the approximate area of the circle? Answers

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Circumference = diameter x pi

Find the diameter:

75.36 = diameter x pi

Divide both sides by pi:

Diameter = 75.36/3.14 = 24 inches.

Area = pi x r^2

R = 1/2 diameter = 12

Area = 3.14 x 12^2

Area = 452.16 in^2

The answer is D.

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A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 17
Free_Kalibri [48]

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

<h3>What are the mean and the standard error for each sample?</h3>

Considering the data given:

\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285

\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973

<h3>What is the mean and the standard error for the distribution of differences?</h3>

The mean is the subtraction of the means, hence:

\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1

The standard error is the square root of the sum of the variances of each sample, hence:

s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612

<h3>What is the confidence interval?</h3>

It is given by:

\overline{x} \pm zs

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

  • \overline{x} - zs = -1 - 1.96(0.1612) = -1.3
  • \overline{x} + zs = -1 + 1.96(0.1612) = -0.7

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Read 2 more answers
Will give brainlyist if quick
Feliz [49]

Answer:

B)

Step-by-step explanation:

slope = 1/2(rise/run)

7 0
2 years ago
Suppose that the manager of a company has estimated the probability of a super-event sometime during the next five years that wi
daser333 [38]

Answer:

The answer is d) 0.2303%

6 0
3 years ago
What is the degree of this polynomial? x ^ 3 + xy + x * y ^ 2 + 5y + 3
ludmilkaskok [199]

Answer:

The degree of the given polynomial is 3.

Hope it will help :)

6 0
3 years ago
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