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garri49 [273]
3 years ago
7

How Important Is Regular Exercise? In a recent poll1 of 1000 American adults, the number saying that exercise is an important pa

rt of daily life was 753. Use StatKey or other technology to find a 90% confidence interval for the proportion of American adults who think exercise is an important part of daily life. Click here to access StatKey. Round your answer to three decimal places. The 90% confidence interval is Enter your answer; the 90% confidence interval, value 1
Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.

Sample proportion = \frac{753}{1000} =0.753

To find 90% confidence interval we must find std error of proportion first

As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753

Std error of proportion= \sqrt{0.753*0.247/1000} \\=0.01363

90% Z critical value = 1.645

Margin of error = 1.645*0.01363 = 0.0224

Confidence interval lower bound = 0.753-0.0224=0.731

Upper bound = 0.775

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The sum of seven angles of an octagon is 132 degrees each. Find the measure of the eighth angle.
Sauron [17]

the sum of the angles in an ngon (a polygon with n sides) is (n-2)*180

so an octagon has 8 sides and has a sum total of (8-2)*180=1080 degrees

if each of 7 angles is 132, then 1080=?+7*132

1080=?+924

156=?

the 8th angle is 156 degrees

6 0
3 years ago
An art teacher has 70 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each
Zigmanuir [339]
70 1/2 divided by 25
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What is the absolute value of -3?<br><br><br> 3<br> - 1/3 <br> -3<br> 1/3
Nezavi [6.7K]
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3 years ago
Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.
Serhud [2]

Answer:

The area of a rhombus is 18\sqrt{3} square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

\sin \theta=\frac{opposite}{hypotenuse}

\sin (60)=\frac{h}{6}

\frac{\sqrt{3}}{2}=\frac{h}{6}

Multiply both sides by 6.

3\sqrt{3}=h

The height of the rhombus is 3\sqrt{3}.

Area of a rhombus is

Area=base\times height

Area=6\times 3\sqrt{3}

Area=18\sqrt{3}

Therefore, the area of a rhombus is 18\sqrt{3} square units.

8 0
2 years ago
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Ghella [55]
Given tan(x)=25
we need to find tan(&pi;-x)=cot(x) = 1/tan(x) = 1/25

Answer: tan(&pi;-x)=1/25.
4 0
3 years ago
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