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3 years ago

Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary

Mathematics

1 answer:

denpristay [2]3 years ago

5 0

Answer: See below

Explanation:

Find the area of circle:

A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2

Find the area of rectangle:

A = 3 x 4
A = 12

Find area of shaded region:

A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2

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dybincka [34]

Answer:

a) No

b) No

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Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 12 ounces

Sample size, n = 49

P-value = 0.136

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 12\text{ ounces}\\H_A: \mu < 12\text{ ounces}$

We use One-tailed z test to perform this hypothesis.

a) Alpha, α = 0.05

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

b) Alpha, α = 0.10

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

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3 years ago

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Fofino [41]

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4 years ago

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Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan

rodikova [14]

The given pyramid's total surface area is 3. 24.0 square feet.

Step-by-step explanation:

Step 1:

To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.

There are 3 triangles and 1 square in the figure.

Step 2:

All the triangles are similar.

The surface area of a triangle = $\frac{1}{2} (baselength)(height).$

The similar triangles have a base length of 3 feet and a height of 2.5 feet.

The surface area of 1 similar triangle = $\frac{1}{2} (3)(2.5)= 3.75$ square feet.

The surface area for all the similar triangles = $3.75 (4) = 15$ square feet.

Step 3:

The surface area of a square is the square of its side length. The square has a side length of 3 feet.

The surface area of the square = $a^{2} = 3^{2} =9$ square feet.

Step 4:

To calculate the total surface area we sum up all the individual surface area.

The total surface area = $15 + 9 = 24$ square feet which is the third option.

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3 years ago

What is 3/4 + 2/3 ???

erica [24]

To add fractions, first convert them to have equal denominators.

3/4= 9/12 (multiply both sides by 3)
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From here, add the numerators while keeping the denominator.
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3 years ago

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ZanzabumX [31]

Answer:

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2 years ago

Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary​

Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary