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3 years ago

O TRIGONOMETRIC FUNCTIONS

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

Answer:

r = 22.9 in.

Step-by-step explanation:

Central angle in radians, ∅ = π/4

Length of arc, S = 18 in.

radius (r) = ?

Length of arc, C = r∅

Plug in the values and find r

18 = r*π/4

18 = (πr)/4

Multiply both sides by 4

4*18 = πr

72 = πr

Divide both sides by π

72/π = r

r = 22.9183118

r = 22.9 in. (Nearest tenth)

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lina2011 [118]

Answer:

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Step-by-step explanation:

Because 40/2 = 20

Which is greater than 16 and makes the equation true

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4 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

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3 years ago

2 less than 3 times amount of boys. 26 in total how many boys

Wewaii [24]

3b-2=26

3b=24

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8 boys.

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4 years ago

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Answer:

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3 years ago

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tankabanditka [31]

Answer:

B [-11] = 11, therefore Peter is at a distance of 11 feet.

Step-by-step explanation:

Absolute value always is written equal to a positive number because of the [] and distance is always written positive. Never negative.

Hope it helped! My answer is expert verified.

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