about 4% of the population has a particular genetic mutation. 100 people are randomly selected. round your answer to three decimal places. (a) Find the mean for the number of people with the genetic mutation in such groups of 600. (b) Find the standard deviation for the number of people with the genetic mutation in such groups of 600.

Answers

Answer 1

We got the mean value 4.167 and standard deviation 19.56.

What is mean value and standard deviation in statistics?

In statistics, a mean value is the average value of all the available data. And it can be determined by adding all the data by dividing the amount of data.

A standard deviation is an estimation that implies how far each available data apart from the mean value.

How do we calculate the mean value and standard deviation?

we are given, 4% of the population has a genetic mutation

Total people in the group =600

Now, total number of people who have genetic mutation = (4/100) ×600

                                                                                              = 24

the number of randomly selected people =100= X

Mean = Number of selected people/ people who have mutation

  Mean = X/n = 100/24 = 4.167

the standard deviation = √∑(X-mean) ²/n

                                       = √∑(selected people - mean) ²/ mutation number

                                    =√(100-4.167) ²/24

            standard deviation = 19.56

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Related Questions

How do I solve this?​

Answers

9514 1404 393

Answer:

  b=-9

  intersection point (3, -3)

Step-by-step explanation:

There are a couple of ways to do this. The method that does not involve calculus is to set the two equations equal and find 'b' such that there is exactly one solution.

  x^2 -4x = y = 2x +b

In standard form, this is ...

  x^2 -6x -b = 0 . . . . . . . we call this the "combined quadratic"

This will have one solution when the discriminant is zero. You may recall that the discriminant of quadratic ax^2 +bx +c is d = (b^2-4ac). We want ...

  d = (-6)^2 -4(1)(-b) = 0

  36 +4b = 0 . . . . . simplify

  b = -36/4 = -9 . . . solve for b

Then the linear equation is ...

  y = 2x -9

__

If the discriminant is zero, the solution to the "combined quadratic" is ...

  x = -b/(2a) . . . . . . . . with a, b, c from the quadratic form (not y-intercept)

  x = -(-6)/(2(1)) = 3

And the point of intersection of the line and the parabola is ...

  y = 2(3) -9 = -3   ⇒   (x, y) = (3, -3)

__

The graph is attached.

WILL MAKE BRAINLIEST

write the slope intercept form of the equation of each line

Answers

Answer:

15. C

16. A

Step-by-step explanation:

Good luck brotha!

PLEASE HELP!! I WILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK!

Answers

Answer:

Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.

WILL GIVE BRAINLIEST!

Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?

A.) 4
B.) 210
C.)500
D.) 400

Answers

Answer:

I'm not sure how to answer this.

Step-by-step explanation:

Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?

Maybe post another question and rephrase it.

B
Depending on ur question
It isn’t clear tho

guys help this makes no sense you will get lots of points for a real answer

Answers

1: d
2: a
3: d
4: b
5: irrational
6:c
7: c
8: a
9: d

I believe that is the right answer

A pitcher of mocktail contains 8 cups of pineapple juice and 2 cups of orange juice. How many cups of orange juice will be required to make a mocktail with 12 cups of pineapple juice?​

Answers

Step-by-step explanation:

pineapple juice =8cups

orange juice =2cupspineapple juice =12

2x12=24

8×12=96

:. 96+24=120

moctail=120

.

You are going to the movies with your family. Adult tickets cost $12.50 each. Children's tickets cost $9 each. The other expenses come to $25. Which expression can be use to figure out how much is spent, regardless of how many children and adults come?

A. 12.50 + 9 + 25

B. 12.50c + 9a + 25

C. 12.50a + 9c = 25

D. 12.50a + 9c + 25

Choose one answer.

Answers

I believe the answer would be D. 12.50a+9c+25

Part A
What are the possible outcomes of rolling a six-sided die?

Answers

Answer:

the possible outcomes are :

one (1)two (2)three (3)four (4)five (5)six (6)

Help me on this please

Answers

Answer:

uhhhh i dont know

Step-by-step explanation:

Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice. Part A: Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer. ( Part B: How many hours each day does Amber spend coaching each sport? Show your work. ( Will Mark Brainliest. Only answer if your 100% sure. This is very important). ​

Answers

Step-by-step explanation:

part a:  Total is 10 hours

soccer: 2v + 1

volleyball: v

part b: 10 = 2v + 1

           -2v = -10 +1

            -2v = -9

            v = -9 ÷ -2

            v = 4.5

volleyball is 4.5 hours

if soccer is one hour longer than volleyball then soccer is 5.5 hours

4.5 + 5.5 is a total of 10 hours :)

f(x) = 2 x + 5, g(x) = x - 1

asked = f(x) • g(x)

please help..​

Answers

Answer:

2x² + 3x - 5

Step-by-step explanation:

(2x + 5)(x - 1)

2x² - 2x + 5x - 5

2x² + 3x - 5

1 . What is the distance between the two points.
(0,5 1,3), (-0,4, -1,3) ?

2. What is the distance between the two points
(6, -3), (2, -4)

Answers

Only could find one sorryyyy
2. Is 4.1231

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Eli can purchase while staying within his budget.

Answers

Answer:
He can buy 3 outfits
Step-by-step explanation:
Total: $640
New Bicycle: $356.89
Reflector(2)=$16.70(each)
Gloves:$27.47
First, we calculate the amount left.
Amount=total - (new bicycle + reflector * 2 + gloves)
Amount=$640 - ($356.89 + $16.70 * 2 + $27.47)
Amount=$640 - ($356.89 + $33.40 + $27.47)
Amount=$640 - $417.76
Amount=$222.24
An outfit costs $74.08 and he plans to buy x outfits.
The inequality is as follows:
$74.08x <_(less than or equal to) $222.24
The amount spent on outfits cannot exceed $222.24.
Divide both sides by $74.08.
$74.08x <_ $222.24
/$74.08 /$74.08
X <_ 3
To stay within budget, Eli can buy exactly 3 outfits on top of everything else.

How to find the smallest integer k such that 60k is a perfect square

Answers

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

What fraction of 2 minutes is 6
seconds?​

Answers

Answer:

1/20 of 2 minutes = 6 seconds

Answer:

1/20; 0.05; 5%

Step-by-step explanation:

Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%

Solve for P.

S=A+1/2PL

Answers

9514 1404 393

Answer:

  (b)  P = 2(S -A) ÷ L

Step-by-step explanation:

Undo what is done to P.

  [tex]S=A+\dfrac{1}{2}PL\qquad\text{given}\\\\S-A = \dfrac{1}{2}PL\qquad\text{subtract $A$}\\\\\dfrac{2}{L}(S-A)=P \qquad\text{multiply by $\dfrac{2}{L}$}\\\\\boxed{P=\dfrac{2(S-A)}{L}}[/tex]

I need to know how to solve for this.

Answers

9514 1404 393

Answer:

  use the rules of exponents

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Applying these to the left-side expression, we can simplify it so it looks like the right side expression.

  [tex]\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}[/tex]

Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2

Answers

Answer:

23x +2

Step-by-step explanation:

20x + 3x + 2 = 23x + 2, also close ur curtains ouch

Based on the information given, the value of the expression is 23x + 2.

From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:

= (4 × 5)x + 3x + 2

= 20x + 3x + 2

= 23x + 2

Learn more about equations on:

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Find the volume of a cone with a base diameter of 8 cm and a height of 6 cm.

Answers

The volume of a cone is equal to 13 times the area of the base πr2 π r 2 times the height h . Substitute the values of the radius r=6 and height h=8 into the formula to find the volume of the cone. Pi π is approximately equal to 3.14

Sin(2/3+3/5) help please

Answers

Answer:

Answer ≈ 0.022

Step-by-step explanation:

For these types of questions with sin cos or tan, you will need to use a calculator. There is no other way as far as I have seen on the internet to solve this type of problem. Anyways, what you have to do is take your calculator and put in:

sin

sin(2/3+3/5)  exactly like that

and the calculator will give this to you:

0.022105703 which you can then round up.

I hope this answer helped you out. If it did I would greatly appreciate it if you could check out my channel The Game Rater(or Nitro Studios the name might change). I would really appreciate that. Thanks.

-Nitroid444

If 20 out of 25 students in a P.E. class are boys, what percent of the class is made up of boys?

Answers

80% !
hope this helps

THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU

Answers

Answer:

Step-by-step explanation:

6) diameter = 2 cm

Radius is half of diameter

r = 2 /2 = 1 cm

Area of circle = πr²      {Plugin r = 1 in the formula}

                      = π*1²

                      = π cm²

7) r = 7.4 cm

Area = πr²

        = π * 7.4*7.4

        = 54.76π cm²

20 points! Please help though-

Answers

Answer:

t = 7

Step-by-step explanation:

t( 5 /7 ) = 5

Hope it helped.

Answer:

7

Step-by-step explanation:

Well its worth 5 but its an easy question so its nothing really.

Well isolate the variable by performing inverse operations which in this case is diving 5 by 5/7 which is 7.

t=7

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.

Answers

Answer:

one is 3-x

two is 1

three is x

four is 5-x

hope it helps :)

Answer:

1: 3-x

2: 1

3: x

4: 5-x

Step-by-step explanation:

Hope this helped

PLEASE HELP! AHH I NEED HELP ASAP . PLUS ITS 6th GRADE MATH

Answers

The answer is 25

Combind like terms the 3z+z which equals 4z then  subtract 25 from both sides.  Meaning 25-25 and 125-25. After you minus you get 100. The set up should look like this: 4z=100 then you divide it by 4z on both sides your answer should be z=25.

Hope this helps!

The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 50,000​, what will the population be 5 years from​ now?

Answers

Answer:19=2x/yr..(407936.5)

Step-by-step explanation:

There are 6 softball teams. There are a total of 48 children on all the teams. There are an equal number of children on each team.
Choose the number sentence which represents the number of children on each team.

Answers

Answer:

I divide 48/6=8 that is the only one that make sense for me becuase 6x8=48

Step-by-step explanation:

Three more than four times the difference of x and 2 is 36

Answers

Answer:

3+4 (x - 2) =36 x= 10.25

Step-by-step explanation:

Which key features of the graph of two parallel lines are the same and which as different?

Answers

The two lines in the graph below are parallel lines: they will never intersect. Notice that they have exactly the same steepness which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.

If the sum of six consecutive odd integers is 480, what is the smallest of the six integers

Answers

Answer:

90

Step-by-step explanation:

Answer:

191

Step-by-step explanation:

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