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Katen [24]
3 years ago
11

What is the volume of a square pyramid if each side of the base is 18 meters and the height is 12 meters

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

Answer:

What is the volume of a square pyramid if each side of the base is 18 meters and the height is 12 meters?

V=1296

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Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a
hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

H_0 : p = 0.80

Ha : p < 0.80

\hat p = \frac{x}{ n} \\\\= \frac{74}{97}

= 0.7629

Now Test statistic = z

= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]

= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]

= -0.91

Now

P-value = 0.1804

\alpha = 0.01

P-value > \alpha

So, it is Fail to reject the null hypothesis.

There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.

5 0
3 years ago
The points (0, 1) and (-9, -9) fall on a particular line. What is its equation in slope-intercept form?
prohojiy [21]

The slope-intercept form:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

m - slope

b - y-intercept → (0, b)

We have the points (-9, -9) and (0, 1) - y-intercept → b = 1.

Calculate the slope:

m=\dfrac{1-(-9)}{0-(-9)}=\dfrac{10}{9}

Answer: y=\dfrac{10}{9}x+1

4 0
3 years ago
Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0
2 years ago
Read 2 more answers
Solve for d<br> s = n /2 [ 2 a + ( n − 1 ) d ]
ludmilkaskok [199]

The answer is d= -2an+2s/n^2-n

That answer should be in a fraction form.

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What is the size of the sample space for flipping 7 coins? Write your answer as a single integer.
Elenna [48]
I think the answer is 6
4 0
2 years ago
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