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ra1l [238]
3 years ago
5

A study of six hundred adults found that the number of hours they spend on social networking sites each week is normally distrib

uted with a mean of 17 hours. the population standard deviation is 6 hours. what is the margin of error for a 95% confidence interval? 0.134 0.220 0.313 0.480
Mathematics
2 answers:
MissTica3 years ago
8 0

Answer:

0.48

Step-by-step explanation:

Given : Mean = 17 hours

            Standard deviation = 6 hours

            n = population size =600

To Find: what is the margin of error for a 95% confidence interval?

Solution:

n= 600

\sigma = 6

z = 1.96 for a 95 % confidence interval;

Margin of error formula:

ME=\frac{z \times \sigma}{\sqrt{n}}

Substitute the values

ME=\frac{1.96 \times 6}{\sqrt{600}}

ME=0.48

Hence the margin of error for a 95% confidence interval is 0.48

babymother [125]3 years ago
4 0
The answer is C. 0.313
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algol13

Answer:

x= 12.5

So

2x = 25

4x = 50

6x = 75

Step-by-step explanation:

line CG is 180 degrees, so 12x + 30 = 180

x = 12.5

7 0
3 years ago
An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ represent the angle's varying m
Alexxandr [17]

Answer:

0.546 , -4.71

Step-by-step explanation:

Given:

An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.

Here, Slope = tan\theta

If θ = 0.5

Then, Slope = tan(θ) = tan(0.5) = 0.546

If θ = 1.78

Then, Slope = tan(θ) = tan(1.78) = - 4.71

The expression (in terms of θ) that represents the varying slope of the terminal ray.

Slope = m = tanθ, where θ is the varying angle

7 0
4 years ago
Please please help me
enyata [817]

The area of a parallelogram is given by

A=bh

Now, if we consider the 9.9 inches side as the base, then the height is the one labeled with 5.5 inches.

If instead we choose the 11 inches side as the base, the height is h.

So, we can express the area in this two equivalent ways:

A = 9.9\cdot 5.5 = 11\cdot h

Solving for h, we have

h = \dfrac{9.9\cdot 5.5}{11} = 4.95

8 0
4 years ago
14(5-1/5×25)+2÷4×1 How Do I Evaluate This Expression ?
True [87]
Use the distributive property and multiply everything in the parentheses by 14.
Leaving you with.. (70 - 3.5 x 350) + 2 / 4 x 1.
Then reduce the parentheses. 
Leaving you with.. ( -1155) + 2 / 4 x 1
Then divide 2 by four.
Leaving you with.. (-1155) + .5
Answer..   -1,154.5
7 0
3 years ago
Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
Bumek [7]

The decimal approximation for the trigonometric function sin 28°48' is

Given the trigonometric function is sin 28°48'

The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.

To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°

sin (28°48') = sin(28° ₊ (48 × 1/60)°)

= sin(28° ₊ (48 /60)°)

= sin(28° ₊ 4°/5)

= sin(28° ₊ 0.8°)

= sin(28.8°)

= 0.481753

Therefore sin (28°48') is 0.481753.

Learn more about Trigonometric functions here:

brainly.com/question/25618616

#SPJ9

5 0
2 years ago
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