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alisha [4.7K]
3 years ago
6

What is the measurement of angle R

Mathematics
1 answer:
Reika [66]3 years ago
6 0
The angle is going to be a 65° angle
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A sculpture is in the shape of a square pyramid. The sculpture has a height of 6 meters and a volume of 50 cubic meters. Find th
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<em>https://quizlet.com/140197143/surface-area-and-volume-surface-area-of-rectangular-pyramids-flash-cards/  an that don't work here is anyone https://quizlet.com/510425408/math-_7-unit-review-three-dimensional-geometry-flash-cards/</em>

Step-by-step explanation:

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3 years ago
.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo
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Answer:

We conclude that the average height of hobbit is taller than Yoda.

Step-by-step explanation:

We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.

From a sample of 7 hobbits, you find their mean height \bar X = 80 cm with standard deviation s = 10.8 cm.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average height of hobbit.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 66 cm      {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, H_A : \mu > 66 cm      {means that the average height of hobbit is taller than Yoda}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;

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

where, \bar X = sample mean height = 80 cm

             s = sample standard deviation = 10.8 cm

             n = sample of hobbits = 7

So, <u><em>test statistics</em></u>  =  \frac{80-66}{\frac{10.8}{\sqrt{7}}}  ~ t_6

                              =  3.429

The value of t test statistics is 3.429.

<em>Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

<em />

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0
3 years ago
If 6 is added to three quarters of a certain number, the result is 42 . Find the original number​
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Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

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