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I am Lyosha [343]
4 years ago
6

What type of arc lies between the two sides of a central angle and measures less than 180?

Mathematics
1 answer:
Tanzania [10]4 years ago
8 0

Answer:

minor arc

Step-by-step explanation:

apex

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FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.
Ganezh [65]

Answer:

x = 5, y = 8, z = -3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent so to find x:

x + 7 = 3x - 3

-2x = -10

x = 5

To find y:

y + 2 = 2y - 6

-y = -8

y = 8

Therefore, z = x - y = 5 - 8 = -3.

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4 years ago
Is it rational or irrational?
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3 years ago
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Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each o
Andrew [12]

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

<h3>What is the margin of error for a z-distribution confidence interval?</h3>

It is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

M = 10, \sigma = 15.

Then, we solve for n to find the needed sample size.

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.645\frac{15}{\sqrt{n}}

10\sqrt{n} = 1.645 \times 15

\sqrt{n} = 1.645 \times 1.5

(\sqrt{n})^2 = (1.645 \times 1.5)^2

n = 6.1

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

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

7 0
2 years ago
The floor of a concert venue is 100 3/4 feet by 75 1/2 feet. what is the area of the floor?
Arte-miy333 [17]
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3 years ago
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ASAP Please help
oksian1 [2.3K]

Answer:

The center is at ( (-1, -2) and the radius is 5.

Step-by-step explanation:

X^2 + 2X + Y^2 + 4Y = 20

Complete the square on the x and y terms.

(x + 1)^2 -1 + (y + 2)^2 - 4 = 20

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

- the center is at ( (-1, -2) and thr radius is 5.

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