Twenty percent of U.S. adults have some type of mental illness. You randomly select 6 U.S. adults. Find the probability that the number of adults having some type of mental illness is:
a)exactly two
b)at least one
c)less than three
d)find the mean, variance, and standard deviation for this distribution

Answers

Answer 1

The mean is 1.2 ,variance is 0.96 and standard deviation of the given data is 96 square root.we can find all these data by using formula of probability.

what is probability?

Probability means possibility.It is a branch that deals with occurrence of random event.The value is given in the probability from 0 to 1.Probability is how likely something is to happen.It is  used in real life for analysis data.we can find probability to favorable outcomes divided by total outcomes.

What is difference between standard deviation and variation?

Standard deviation measures how far apart numbers are in a data set.Variance gives us the actual value to how much the numbers in a data set vary from the mean.The variance is equal to the square standard deviation and standard deviation is the square root of the variance.

NOW we have data

Person(ill)=20% =0.20        n=6

For Exactly two  p(x) =2

now we get  24.58% by using binomial theorem and putting value in the formula.

NOW for at least one p(x)>1  By putting value we get 0.7379.

Now for less than three p(x<30) we get 0.9011

Now to find mean

Mean=person (ill) multiply n

Mean = 0.20 * 6

Mean= 1.2

Variance= 1.2*0.80

             =0.96

IN the last we find standard deviation.it will be 96 square root.

To learn more about standard deviation and probability visit;

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Related Questions

Answer choices
50%
60%
65%
If you put a link I will report

Answers

Answer:

50%

Step-by-step explanation:

how many square feet is in a acre

Answers

43,560 is the answer
43560 square feet in an acre

A family buys 6 airline tickets online. The family buys travel insurance that costs ​$18 per ticket. The total cost is ​$1,056. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.

Answers

Answer:

let x represent the number tickets

number of ticket=6

cost of the travelling insurance per ticket =$18

total cost= $1056

(x+x+x+x+x+x+18)= $1,056

6x + 18 = $1,056

1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Write an recursive formula for An, the nth term of the sequence
5, -2, -9,

Answers

Given:

The given sequence is:

[tex]5,-2,-9,...[/tex]

To find:

The recursive formula for [tex]a_n[/tex], the nth term of the sequence.

Solution:

We have,

[tex]5,-2,-9,...[/tex]

Here, the first term is 5.

[tex]-2-5=-7[/tex]

[tex]-9-(-2)=-9+2[/tex]

[tex]-9-(-2)=-7[/tex]

The common difference is -7.

The recursive formula for the nth term of the sequence is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]d[/tex] is the common difference.

Putting [tex]d=-7[/tex] in the above formula, we get

[tex]a_n=a_{n-1}+(-7)[/tex]

[tex]a_n=a_{n-1}-7[/tex]

Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].

Help please and show the steps

Answers

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

Please help it’s due by the end of tonight and I’m not sure what to do if you can’t see (sorry I took a picture of my computer it’s a bit Glitched) you can zoom in

Answers

Do not click that link it’s a hacker please

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?

Answers

Answer:

vertical angles

Step-by-step explanation:

bc they are across from eachother

What is the length of missing side X? Options are on photo
Help ASAP

Answers

Answer:

it should be 5 because its a rectangle

Answer:

x = 5cm

Step-by-step explanation:

Remember opposite sides of a rectangle are congruent

The opposite side of side "x" is equal to 5 cm therefore x = 5 cm

Important note! : The triangle does not change the side length as it is formed using it.

Can you help me answer this question???????

Answers

3^10/ 3^-2
3^12
good luckkkk

Answer:

3^12

Step-by-step explanation:

{201-[68-(40/4)+(-8)+(70x2)]}

Answers

Answer:

{201-[68-(40/4)+(-8)+(70x2)]}

{201-[68-(40/4)+(-8)+140]}

{201-[68-10-8+140]}

{201-[68-18+140]}

[201-[50+140]}

{201-190}

11is your answer

For every 9 pounds of blueberries that Joey picks, she
is able to bake 6 blueberry pies. How many pounds of
blueberries does Joey use in each pie?

Answers

1.5 pounds of blueberry in each pie

Explanation:
So its basically asking for the unit rate of blueberry per pie.
To solve that, we divide 9 by 6
9 divided by 6 is 1.5, which will mean that there are 1.5 pounds of blueberries in one pie.

Now, DONT do it the other way around (6 divided by 9) BECAUSE, if you do that, you will end up solving the pie per blueberry (which in that case is, ur gonna find how many pie you can make for 1 blueberry) so uhh therr ya go. Hope this helps
Marm me brainliest pls-

Help please will mark brainliest!!!

Answers

93.9 or 17702.3 I think it’s the long 1 tho

One of the legs of a right triangle measures 6 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

18.0 cm

Step-by-step explanation:

[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]

[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]

[tex]hyp^{2} = 325[/tex]

[tex]hyp = 5\sqrt{13}[/tex]

[tex]= 18.028 cm[/tex]

6^2 + 17^2 = 325
Square root of 325 rounded is 18
Please give me Brainliest

help? please witt these 2

Answers

Answer:

C: x=6 D: x=2

Step-by-step explanation:

Hope this helps


2. The angles of a pentagon are 6x, (2x + 20°),(3x - 20%), 2x and 14x. Find x. Please answer please please ​

Answers

Answer:

x=20

Step-by-step explanation:

PLEASE HELP! 20 POINTS!!

Answers

Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!


In the school chorus,
5
20
of the students are fourth graders.

In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

Answer: 1/6

Step-by-step explanation:

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

:))

Rewrite the sum of 12 + 27 using the GCF and the distributive property I​

Answers

12345678991112131415161718

what is the median of 16, 18, 18, 19, 25, 27, 28, 31, 31, and 32.

Answers

Answer:

26

Step-by-step explanation:

If the data is in order, the median is the middle value.

If there are two values in the middle, you add them together and divide by 2

So [tex]\frac{25+27}{2} =26[/tex]

26 because in between 25 and 27 is 26 any other numbers that’s missing is because it’s not the median

which if the following equations fit this graph?​

Answers

y=3/2


That it I think so

The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?

Answers

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

How to determine the hypotenuse?

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

https://brainly.com/question/23814470

edward deposited $6,000 into a savings account 4 years ago. the simple interest rate is 3% how much money did edward earn in interest?
(SHOW FULL WORK FOR BRAINLIEST) PLEASE HELP

Answers

Answer:

$6000×3%=180 for a month

so for for years

=6000x48×3%=R8 640

Step-by-step explanation:

1 year has 12 month so you will say 4 year's × 12 Month's it will give you 48 so you Multiply by his deposited money ×Percent

formula=Deposit money×Year's×Percent

Can Someone Help Me. ? It’s Between A Or B

Answers

b option is the answer

I am sure

I think it is option b I’m not sure tho

1^12 multiplied by 3,268,584

Answers

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

ZABC and ZQRS are supplementary angles,
If the measure of ZABC = 100°, what is the
measure of ZQRS?
mZQRS = [?]°

Answers

Answer:

Solution given:

<ABC+<QRS=180°[supplementary]

<QRS=180°-100°

<QRS=80° is your answer


Identify the y-intercept in y=-1/3x + 2

Hint: y = mx + b

1. -1/3

2. 2

3. -2/3

4. -2

Answers

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff? Round your answer to the nearest tenth

Answers

9514 1404 393

Answer:

  267.9 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.

  tan(15°) = height/(1000 m)

  height = (1000 m)tan(15°)

  height ≈ 267.9 m

The cliff is about 267.9 meters tall.

what does venerable mean​

Answers

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

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