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2 years ago

6

3. In a sample of 250 high school seniors,

1 answer:

astraxan [27]2 years ago

4 0

Answer:

0.02 (the first option)

Step-by-step explanation:

This is because a proportion means there is division going on. If 5 out of the 250 students have red hair, this creates a fraction of $\frac{5}{250}$ and when you divide this out: 5 ÷ 250, you get 0.02

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HELP NEED PRECALC HELP WILL GIVE BRAINLIEST PLEASE HELP

Shalnov [3]

From your earlier questions, we found

$2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)$

so the wave has amplitude √29. The weight's maximum negative position from equilibrium is then -√29, so you are solving for <em>t</em> in the given interval for which

$\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)=-\dfrac{\sqrt{29}}2$

Divide both sides by √29:

$\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)=-\dfrac12$

Take the inverse sine of both sides, noting that we get two possible solution sets because we have

$\sin\left(\dfrac{7\pi}6\right)=\sin\left(\dfrac{11\pi}6\right)=-\dfrac12$

and the sine wave has period 2π, so $\sin x=\sin(x+2\pi)=\sin(x+4\pi)=\cdots$ .

$\implies 4\pi t+\tan^{-1}\left(\dfrac52\right)=\dfrac{7\pi}6+2n\pi$

OR

$\implies 4\pi t+\tan^{-1}\left(\dfrac52\right)=\dfrac{11\pi}6+2n\pi$

where <em>n</em> is any integer.

Now solve for <em>t</em> :

$t=\dfrac{\frac{7\pi}6+2n\pi-\tan^{-1}\left(\frac52\right)}{4\pi}$

OR

$t=\dfrac{\frac{11\pi}6+2n\pi-\tan^{-1}\left(\frac52\right)}{4\pi}$

We get solutions between 0 and 0.5 when <em>n</em> = 0 of <em>t </em>≈ 0.196946 and <em>t</em> ≈ 0.363613.

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3 years ago

Determine the domain of this relation

natulia [17]

Answer:0,1,2

Step-by-step explanation:every x

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4 years ago

We can use identities to help us solve trigonometric equations. Using a Pythagorean identity we see that the equation sin(x) + s

Dima020 [189]

Answer:

$\sin x = 0$ , $x = \pm \pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

The following trigonometric equation is simplified by using identities:

$\sin x + \sin^{2}x + \cos^{2}x = 1$

$\sin x + 1 = 1$

$\sin x = 0$

Whose solutions are:

$x = \pm \pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

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3 years ago

Nine qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hi

anastassius [24]

1/3*1/4*1/7= 1/84
It is 9c3

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4 years ago

Read 2 more answers

What is 29−−√?

yan [13]

Between 5 - 5.5
Hope this helps.

8 0

2 years ago