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3 years ago

Find the missing side. Round to the nearest tenth. Х 28° X 9 x = [?]

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

Answer:

Step-by-step explanation:

Note that all arguments of trig functions are in degrees.

sin(28)=9/x -> x=9/sin(28)

From here just plug this into your calculator

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Find y to the nearest degree. *

vichka [17]

Step-by-step explanation:

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4 0

3 years ago

A researcher wants to check the claim that convicted burglars spend less than 18.7 months in jail, on average. She takes a rando

vivado [14]

Answer:

a. No, there is not enough evidence to support the claim using a level of significance of 1%.

b. Null Hypothesis, $H_0$ : $\mu \geq$ 18.7 months

c. Alternate Hypothesis, $H_A$ : $\mu$ < 18.7 months

d. P-value of hypothesis test = 0.0199 or 1.99%

e. We conclude that the convicted burglars spend more than or equal to 18.7 months in jail, on average.

Step-by-step explanation:

We are given that a researcher wants to check the claim that convicted burglars spend less than 18.7 months in jail, on average.

She takes a random sample of 67 such cases from court files and finds that the mean is 16.8 months with a standard deviation of 7.3 months.

Let $\mu$ = true mean time convicted burglars spend in jail.

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 18.7 months {means that the convicted burglars spend more than or equal to 18.7 months in jail, on average}

Alternate Hypothesis, $H_A$ : $\mu$ < 18.7 months {means that the convicted burglars spend less than 18.7 months in jail, on average}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time spent in jail = 16.8 months

s = sample standard deviation = 7.3 months

n = sample of cases = 67

So, test statistics = $\frac{16.8-18.7}{\frac{7.3}{\sqrt{67} } }$ ~ $t_6_6$

= -2.13

Hence, the value of test statistics is -2.13.

Now, P-value of the test statistics is given by;

P-value = P( $t_6_6$ < -2.13) = 0.0199 or 1.99%

If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.

If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

Now, here the P-value is 0.0199 or 1.99% which is clearly higher than the level of significance of 1%, so we will not reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the convicted burglars spend more than or equal to 18.7 months in jail, on average.

6 0

3 years ago

I am in middle school

Svetlanka [38]

Answer:x $\geq$ 35/2

Step-by-step explanation:

4x-5 $\geq$ 65

4x-5+5 $\geq$ 65+5

4x $\geq$ 70

4x/4 $\geq$ 70/4

x $\geq$ 35/2

8 0

3 years ago

Math help! asap !! 20 + points and brainlest! ( all problems pls )

kvv77 [185]

1)
Lateral area is the surface area, minus the bases. The area of a square is base times height. The lateral area is 112 centimeters squared, and the surface area is 336 centimeters squared.
2)
The bases of prisms are the triangles. The lateral area of the prism is 695 meters squared. The area of a triangle is base times height divided by 2. The surface area of the prism is 727 meters squared.
3)
The area of a circle is pir^2. The surface area of the cylinder is 1,230 inches cubed.
4)
The area of the pyramid is 790.
5)
The answer to number 5 is 2,254.
6)
The last answer is 21.7 centimeters. but I'm not like 100% sure.

5 0

3 years ago

Click the picture for the question thank u n

Elza [17]

Answer:3

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers