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2 years ago

How to solve for X 'Triangles sum Theorem'

Mathematics

1 answer:

guajiro [1.7K]2 years ago

8 0

I guess this will be good example of how to do it

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Find the lateral area of the pyramid to the nearest whole number.

son4ous [18]

Answer:

The correct answer is first option. 204 m²

Step-by-step explanation:

Formula:-

Lateral surface area of square pyramid = 4 * area of triangle

<u>To find the slant height of triangle(l)</u>

l = √(6² + 6²) = 6√2

To find the area of triangle

Area = bh/2

b = 12 m

h = 6√2

Area = (12 * 6√2)/2 = 36√2

<u>To find the lateral surface area of Prism</u>

Lateral surface area of square pyramid = 4 * area of triangle

= 36√2 * 4 = 203.64 ≈ 204 m²

First answer is the correct option

7 0

2 years ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

2 years ago

Solve the equation 7x-c=k for x

Vlad1618 [11]

Answer:

x=k+c over 7

Step-by-step explanation:

7x-c+c=k+c

7x=k+c

divide both sides by 7

4 0

2 years ago

Please help it's fricking urgent

Gwar [14]

Answer:

Kaden had $17 at first

Step-by-step explanation:

Ben = x

Kaden = x - 10

x + 4

x - 10 + 4 = x -6

x - 6 = $\frac{7}{9}$ x

9(x - 6) = 7x

9x - 54 = 7x

2x = 54

x = 27

x - 10 = 27 - 10 = 17

5 0

2 years ago

Read 2 more answers

What is quarter past 3

svetlana [45]

What is quarter pass 3 your answer would be 3:45

7 0

2 years ago

Read 2 more answers