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3 years ago

Please help me

Mathematics

1 answer:

kirza4 [7]3 years ago

6 0

This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

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The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, wh

suter [353]

Answer:

0.0066

Step-by-step explanation:

Given that:

Mean $\mu$ = 75

Variance $\sigma^2 =961$

The standard deviation $\sigma = \sqrt{961} = 31$

The sample size n = 100

$\mu = \mu_{\overline x} = 75$

$\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}$

$\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}$

$\sigma _{\overline x} = \dfrac{31 }{10}}$

$\sigma _{\overline x} = 3.1$

$P(\overline x > 83.7) = 1 - P( \overline x < 83.7)$

$P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)$

$P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)$

$P(\overline x > 83.7) = 1 -P ( Z< 2.48)$

Using the Z table;

P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

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3 years ago

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2 years ago

Read 2 more answers

Two consecutive integers are such that 7 times the biggest and then added to the smallest equals

Arturiano [62]

Answer:

61,62

Step-by-step explanation:

Let the smallest number be x

Hence, the biggest number = x+1 [as it consecutive]

Hence,

7(x+1)+x=495