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2 years ago

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Find the mean of the data set: 9 4 73 109

2 answers:

kakasveta [241]2 years ago

6 0

The mean is 7
hope this helped you!!

SpyIntel [72]2 years ago

5 0

I don’t understand how someone got the mean as seven... the mean is 48.75

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Use the interactive to graph the line that goes through

il63 [147K]

Answer:

The correct answer with step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help me for the love of God if i fail I have to repeat the class

Elena-2011 [213]

$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

Then with the conditions determined above, we get

$\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35$

and

$\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}$

Now recall the compound angle formulas:

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

$\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$

$\sin2\alpha=2\sin\alpha\cos\alpha$

$\cos2\alpha=\cos^2\alpha-\sin^2\alpha$

as well as the definition of tangent:

$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$

Then

1. $\sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}$

2. $\cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}$

3. $\tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}$

4. $\sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}$

5. $\cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}$

6. $\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7$

7. A bit more work required here. Recall the half-angle identities:

$\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2$

$\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2$

$\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}$

Because $x$ is in quadrant II, we know that $\dfrac x2$ is in quadrant I. Specifically, we know $\dfrac\pi2$ , so $\dfrac\pi4$ . In this quadrant, we have $\tan\dfrac x2>0$ , so

$\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32$

8. $\sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}$

6 0

3 years ago

A pitcher of fruit punch holds 2 gallons. If nine people share the entire pitcher equally, how much punch does each person get?

Lesechka [4]

2 gallons divided between 9 people would equal 0.222222222 gallons per person

6 0

3 years ago

Kim wrote the number 11. Use mental math to tell what number has ??

Eduardwww [97]

2 more 10s then 11 is 31

1 more 10s then 11 is 21

3 more 10s then 11 is 41.

basic math :)

3 0

3 years ago

Read 2 more answers

you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?

uysha [10]

5 pizzas feeding 20 people means 1 pizza to feed 4 people. 88/4=22 therefore 22 pizzas are needed to feed 88 people.

5 0

2 years ago