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2 years ago

What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter

Mathematics

1 answer:

krok68 [10]2 years ago

6 0

Answer:

Step-by-step explanation:

The area of a sector in terms of radians as opposed to degrees is

$A=\frac{\theta}{2\pi }*\pi r^2$

Filling in the formula accordingly gives us

$A=\frac{1.75rad}{2\pi rad}*\pi (2)^2$

The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with

A = 1.75(2) so

A = 3.5 units squared

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3 years ago

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blsea [12.9K]

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We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

Step-by-step explanation:

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Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu > 101.5$

We use one-tailed z test to perform this hypothesis.

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$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

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3 years ago

What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter​

What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter