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Pepsi [2]
3 years ago
12

We want to estimate the percentage of political figures who will make a social media

Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

0.0208

Step-by-step explanation:

Using the formula for calculating margin of error is expressed as;

M = z * √p(1-p)/n

z is the z score at 90 % interval

p is the proportion

n is the sample size

p = 0.2

n = 1000

z = 1.645

M = 1.645 * √0.2(1-0.2)/1000

M = 1.645 * √0.2(0.8)/1000

M = 1.645 *  0.01264

M = 0.0208

Hence the margin of error is 0.0208

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a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear​ speed, in feet per​
Yuri [45]

Answer:

The linear speed is 1,130.4\frac{ft}{min}

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=18\ ft

\pi =3.14

substitute

C=2(3.14)(18)

C=113.04\ ft

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

(10)113.04=1,130.4\ ft

therefore

The linear speed is 1,130.4\frac{ft}{min}

3 0
3 years ago
The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.10
Salsk061 [2.6K]

For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

We have to find the answer of many question we solve the question one by one.

From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.

As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

\int\limits^{\infty}_{-\infty} {f(x)} \, dx= 1

This shows that that the total area of under the curve.

(b) We have to find the median.

In the normal distribution mean, median both are same. So the value of median equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

(c) We have to find the mode.

In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

(d) we have to find the value of variance.

The value of variance is equal to the square of standard deviation.

So Variance = (0.1039)^2

Variance = 0.0108

Hence, the value of variance is 0.0108.

To learn more about normally distribution link is here

brainly.com/question/15103234

#SPJ1

3 0
1 year ago
Which of the following are situations that can be modeled with a quadratic function? Select all that apply.
Lina20 [59]

Answer:

Option 2 and 5 are correct.

Step-by-step explanation:

We need to tell which one of them is quadratic function.

Option 1 is exponential decay so, it is not quadratic.

Option 2 is quadratic because the diver will take the parabolic shape when jumps.

Option 3 is not quadratic.Option 4 is not quadratic it is linear.

Option 4 is again exponential not quadratic.

Option 5 is quadratic because it takes the parabolic shape again.


4 0
3 years ago
Read 2 more answers
What is 121 divided by 11
gizmo_the_mogwai [7]
11 is your answer because 11* 11 is 121
4 0
3 years ago
Read 2 more answers
What is the value of x in this figure? 282√ 28 143√ 283√ A right triangle with one of the acute angles labeled 30 degrees. The h
amid [387]

Using the law of sines:

Sin (angle) = opposite leg / hypotenuse

Sin(30) = 14 /x

x = 14 * sin(30)

x = 28

6 0
3 years ago
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