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3 years ago

Carl bought a new television that is 15 inches by 24 inches. What is the area of the television?

Mathematics

2 answers:

DENIUS [597]3 years ago

6 0

A = l x w
A = 15 x 24
A = 360 in²

Lady bird [3.3K]3 years ago

5 0

Area= L x W

Area= 360 inches

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The answer correct is C.

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4 years ago

A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th

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Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

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We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

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Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0518

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$M = T\frac{s}{\sqrt{n}}$

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In this question:

$n = 27, s = 21.4$ . So

$M = 2.0518\frac{21.4}{\sqrt{27}}$

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The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

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3 years ago

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*Remember that A = angle and S = side.

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3 years ago

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PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

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Answer:

$\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}$

Step-by-step explanation:

$\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)$

$\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)$

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4 years ago

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