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defon
3 years ago
8

Can someone help me ​

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer: A/D

Step-by-step explanation:

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Can someone help me with this?
Marianna [84]
Look at the rectangle. The bottom side measures 8 miles, so the top side also measures 8 miles.

Now look at the upper right triangle. For the angle of 32 deg, the top side of the triangle is the adjacent leg of the triangle. The air distance, marked x, is the hypotenuse of the triangle.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

\cos \theta = \dfrac{adj}{hyp}

\cos 32^\circ = \dfrac{8~miles}{x}

x = \dfrac{8~miles}{\cos 32^\circ}

x = 9.4 ~miles
6 0
3 years ago
-8x - 18 + 7 + 2x = 5 - 3x - 4 + x
satela [25.4K]

Answer:

x = -3

Step-by-step explanation:

-8x - 18 + 7 + 2x = 5 - 3x - 4 + x

-8x + 2x + 3x - x = 18 - 7 + 5 -4

-4x = 12

x = -3

4 0
3 years ago
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per t
lys-0071 [83]

Answer:

The null and alternative hypothesis for this study are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624

This test is a left-tailed test, so the P-value for this test is calculated as:

P-value=P(z

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

3 0
4 years ago
HELPPPP ME! SOMEBODY I WILL MARK BRAINLIST!!!!!
lara [203]

Answer:

domain : -4, -3, -1, 0, 1, 3

range : -4, -2, -1, 2, 4, 5

4 0
3 years ago
Read 2 more answers
Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)
Harlamova29_29 [7]

Answer:

-500 (I think)

Step-by-step explanation:

7 0
3 years ago
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