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2 years ago

5

Alpha false and true Which of the following statements are true? If false, explain briefly.

1 answer:

solmaris [256]2 years ago

8 0

Answer:

A. False

B. True

C. True

D.True

Step-by-step explanation:

A. False . The significance level or alpha is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. 0.01 alpha is better than 0.05 alpha . 0.01 indicate a 1% risk of rejecting the null hypothesis when it is true .

B. True . If the p-value is less than alpha, we reject the null hypothesis . Therefore statistically significant.

C . True . If the p-value is less than alpha, we reject the null hypothesis

D. True . Alpha will be greater than p-value . Therefore we will reject .

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11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.

Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

$[tex](\frac{5}{6}) ^2$ = \frac{m}{108}[/tex]

⇒ $\frac{(5)^2}{(6)^2} = \frac{m}{108}$

or, $\frac{25}{36} = \frac{m}{108} \implies m = \frac{108 \times 25}{36} = 75$

⇒ m = 75

Hence, the area of the smaller triangle is 75.

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3 years ago

What is 3+5+9+11+2+7?

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The base of a prism are right triangles with leg lengths of 7 inches and 5 inches. the prism height is 12 inches. what is the vo

Wewaii [24]

The volume formula is length x width x height. 7x5x12=420 cubic inches

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2 years ago

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2 years ago

Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.

KiRa [710]

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

$Volume = \pi r^2h$

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

$Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters$

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

#learnwithBrainly

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3 years ago