Based on a study by Dr. P. Sorita Soni at Indiana University, assume that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. If three people are randomly selected, what is the probability that one will have brown eyes, one will have gray eyes, and one will have green eyes (with replacement)

Answers

Answer 1

Answer

0.00336

Step-by-step explanation:

Given :

P(Brown), P(Br) = 0.4

P(Blue) = P(b= 0.35

P(green,) = P(g) = 0.12

P(gray), P(Gr) = 0.07

If 3 individuals are selected, the probability that one has brown eye, 1 has Grey and one has green.

Since the probabilities are independent :

P(Br) * P(Gr) * P( g)

0.3 * 0.07 * 0.12

= 0.00336


Related Questions

Help Plzzzzzzzzzzzzzzzzzz

Answers

Answer

Help with what?

Step-by-step explanation:

Answer:

Whats the question

Step-by-step explanation:

?

What is the area of the figure?



128 in2
118 in2
108 in2
48 in2

Answers

Answer:

108 in2

Step-by-step explanation:

What is 1/5 divided by 4?​

Answers

Answer:

0.8

Step-by-step explanation:

Answer:

I believe that answer is 0.05

Step-by-step explanation:

f(x)=-x^2-10 Find f(-4)​

Answers

Answer:

We conclude that:

f(-4) = -26

Step-by-step explanation:

Given

We have the function

f(x) = -x² - 10

To determine

f(-4) = ?

Calclulating f(-4)

substitute x = -4 in the function

f(x) = -x² - 10

f(-4) = -(4)² - 10

f(-4) = -16 - 10

f(-4) = -26

Therefore, we conclude that:

f(-4) = -26

How do I figure out -3√12-2√27-2√45

Answers

Answer:

−12√3−6√5 or Decimal: -34.201018

Step-by-step explanation:

-3√12-2√27-2√45

3√12=6√3

2√27=6√3

2√45=6√5

=6√3-6√3-6√5

=−12√3−6√5

At school, the maximum number of students that can be in a classroom is 29. If there are 19
students signed up for the art class, how many more students can join the class?
What are the solutions? Select the correct choice below and fill in the answer box to complete your
choice.

Answers

Answer:A

Step-by-step explanation:A

i need help on this:The perimeter of the square below is 36 yards. What is the length of each side?

Answers

hi so remember the perimeter of a square is 4 times the side. so if the perimeter is 36 then you can divide 36 by 4 to get the answer 9.

36=4^x
36=4x
36/4=x
9=x

to cross check if ever unsure times the (side) by 4 if it matches the given perimeter.
each side should be 9 yards because to be a square each side is equal. a square has 4 sides. 36/4=9

Please help me with this question bellow.

Answers

Answer:

they are just multiplying thr numbers on top for exsample 42÷6=7

Step-by-step explanation:

you should see what numbers dose the bottom numbers have in common and multiply by 15.

Each algorithm is applied to a group of 52 sample problems. The new algorithm completes the sample problems with a mean time of 24.04 hours. The current algorithm completes the sample problems with a mean time of 24.52 hours. The standard deviation is found to be 5.769 hours for the new algorithm, and 5.556 hours for the current algorithm. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm.

Answers

Answer:

Therefore we fail to reject the Null hypothesis [tex]H_0[/tex]

Because the is no sufficient evidence to support the claim of the alternative hypothesis [tex]H_a[/tex]

Step-by-step explanation:

From the question we are told that

Sample size [tex]n_1 =52[/tex]

Mean time 1 [tex]\=x_1=24.04\ hours[/tex]

Mean time 2 [tex]\=x_2=24.52\ hours[/tex]

Standard deviation [tex]\partial _1=5.769[/tex]

Standard deviation [tex]\partial _2=5.556[/tex]

Level of significance 0.05

The null hypothesis is [tex]H_o: \mu_1=\mu_2[/tex]

Alternative hypothesis [tex]H_a: \mu_1<\mu_2[/tex]

Generally the test statistics is mathematically represented as

      [tex]Z= \frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]

     [tex]Z= \frac{24.04-24.52}{\sqrt{\frac{5.769^2}{52}+\frac{5.5562^2}{52}}}[/tex]

     [tex]Z= -0.4321583379[/tex]

     [tex]Z= -0.43[/tex]

From Table the Z-critical value at [tex]\alpha =0.05\ is\ -1.6449[/tex]

Therefore

Zcal> Zcritical

(-0.43)=(-1.645)

Generally we fail to reject the null hypothesis [tex]H_0[/tex] at [tex]\alpha = 0.05[/tex]

Therefore we fail to reject the[tex]H_0[/tex]

Because the is no sufficient evidence to support the claim of [tex]H_a[/tex]

Can someone​ give methe ​ correct answer with work please, need help. I will give brainlist!!!!

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

Option B is the correct answer

[tex] \Sigma_{k=0}^\infty\frac{3}{k(k+2)}[/tex]

250 people were asked to name their favorite fruit. Of those surveyed, how many people prefer peaches? 44% berries, 32% Peaches, 24% Cherries

Answers

Answer:

80 people prefered peaches

Step-by-step explanation:

250-68%=80 people

A box contains 84 chocolates which 63 are dark chocolates. The rest are milk chocolates.what is the ratio of milk chocolates to the number of chocolates in the box

Answers

Answer:

21:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a box with 84 chocolates

63 are dark, milk=84-63=21

21/63=1/3 is the ratio

for each 1 milk chocolate we have 3 dark chocolates

How far a car goes in 30 seconds at speed of 29m/s

Answers

30•29=870, so the answer is 870

Answer:

i think it goes 870m/s

Step-by-step explanation:

30x29=870

Graph the system of linear equations.
- 3y = x+5 and y = 2x+2.
u
X
y
The solution to the system is
4
-8
14
-4
-8
Draw
Click or tap the graph to plot a point.

Answers

Step-by-step explanation:

Given system of equations are :

-3y = x+5 ....(1)

y = 2x+2 ...(2)

We need to find the solution of the equations.

Multiply equation (2) by 2.

-6y = 2x+10 ...(3)

Subtract equation (2) and (3).

y-(-6y)= 2x+2-(2x+10)

7y=2x+2-2x-10

7y=-8

y = 8/7

Put the value of y in equation (2)

[tex]\dfrac{8}{7}=2x+2\\\\\dfrac{8}{7}-2=2x\\\\x=\dfrac{\dfrac{-6}{7}}{2}\\\\x=\dfrac{-3}{7}[/tex]

Hence, this is the required solution.

LALLY MANLLITYONLILULIVE
1)
Which expression is equivalent to (5x + 3) + (4x + 7)?
A)
9x + 21
B)
9x + 10
C)
10x + 9
D)
20x + 21

Answers

B 9x+10, this is because you just simply combine like terms

An Environmental Club collected 100 pounds of aluminum cans to recycle. 1 point
They plan to collect 25 pounds each week. How much aluminum will the
collect in one year? *

Answers

Answer:

well, there are 52 weeks in a year, so if you just multiply the pounds of cans by the amount of years, you get 1,300

Step-by-step explanation:

*sigh*

PPLSS HELLP!! y=___x+___

Answers

Answer:

y= 1x-5

Step-by-step explanation:

This grpah shows a linear equation, for which the formula is y=mx+b. M is the slope, and b is the y-intercept, which means the point on the y-axis when x is zero.

So far= y=_x-5

Now to find the slope, you can take 2 points and use the slope formula, which is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

I used the points (1,-4) and (0, -5)

(1,-4)

[tex]x_{2} , y_{2}[/tex]

(0,-5)

[tex]x_{1} ,y_{1}[/tex]

Plug into formula

[tex]\frac{-4-(-5)}{1-0}[/tex]

negative minus negative becomes a positive

[tex]\frac{-4+5}{1}[/tex]

[tex]\frac{1}{1}[/tex]

The slope is 1, so the equation of the graph is

y= 1x-5

what is the slope-intercept equation of the line that goes through the points 1, 5 and 2, 8​

Answers

Answer:

The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is​ [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]

Step-by-step explanation:

We need to find the slope-intercept equation of the line that goes through the points (1, 5) and (2, 8)

The general equation for slope intercept form is ​ [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding slope

Slope can be found using formula [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x _1=1, y_1=5, x_2=2, y_2=8[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-5}{2-1}\\Slope=\frac{3}{2}[/tex]

So, we get slope [tex]m=\frac{3}{2}[/tex]

Finding y-intercept

y-intercept can be found using slope [tex]m=\frac{3}{2}[/tex] and point (1,5)

[tex]y=mx+b\\5=\frac{3}{2}(1)+b\\b=5- \frac{3}{2}\\b=\frac{10-3}{2}\\b=\frac{7}{2}\\[/tex]

So, we get y-intercept [tex]b=\frac{7}{2}[/tex]

Equation of line

So, equation of line having slope [tex]m=\frac{3}{2}[/tex] and y-intercept [tex]b=\frac{7}{2}[/tex] is:

[tex]y=mx+b\\y=\frac{3}{2}x+\frac{7}{2}[/tex]

The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is​ [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]

Factor 5x2 – 17x – 12

Answers

Sorry don’t know just need points . GOOD LUCK

Answer:

214.......................

10. There are 10 girls for every 12 boys. What is the ratio of
boys to girls?
Oa) 12:10
Ob) 10:12
Oc)24:10
Od) 12:24

Answers

Answer:

12:10

Step-by-step explanation:

Answer:

well its not C or D

And i dont think it is A

So imma say B

Step-by-step explanation:

A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcorn cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15 players?
Round to the nearest cent.

$34.05

$42.72
$7,661.25
$9,611.25

Answers

Answer:

34.05

Step-by-step explanation:

Subtract 65 from 575.75 and then divide that number by 15

You would take the 575.75 and subtract the 65.00 and divide what you get by 15 and you would get A 34.05

Use synthetic substitution to find f (2) for f (x) = x3 – 5x +2.

Answers

Answer:

(2)3=6

_5(2)=_10

6+2=8

_10+8=_2

1. For each of the following sampling situations, identify the population as exactly as possible. That is, say what kind of individuals the population consists of and say exactly which individuals fall in the population. If the information given is not complete, complete the description of the population in a reasonable way. A college has changed its core curriculum and wants to obtain detailed feedback information from the students during each of the first 12 weeks of the coming semester. Each week, a random sample of 5 students will be selected to be interviewed.

a. The population is all current students.
b. The population is students in the college during the first 12 weeks of the coming semester.
c. The population is the 60 students selected during the first 12 weeks of the coming semester.
d. The population is students in the coming semester.

2. The American Community Survey (ACS) replaced the census long form starting with the 2010 census. The main part of the ACS contacts 250,000 addresses by mail each month, with follow-up by phone and in person if there is no response. Each household answers questions about their housing, economic, and social status.

a. The population is 250,000 households.
b. The population is all U.S. households.
c. The population is all households that are being contacted by the ACS.
d. The population is U.S. households at 2010.

3. An opinion poll contacts 1161 adults and asks them, Which political party do you think has better ideas for leading the country in the twenty-first century?

a. The population is 1161 U.S. adults that supply information.
b. The population is all adult residents of the U.S.
c. The population is political parties.
d. None of the above.

Answers

Answer:

First question: Answer is C

Second question: Answer is C

Third question: Answer is A

Step-by-step explanation:

For the first question, the option is C since there were 5 interviewees per week, which gives a total of 5x12 = 60, that is, an exact sample population of 60.

For the second question, the exact population is of all the 250,000 households that are being contacted by the ACS.

For the third question, the population is 1161 American adults who if they provide information about the political party that they believe has better ideas to lead the country in the 21st century,

Which relation is a function?

Answers

Answer:

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

Step-by-step explanation:

What she or he said^^^^

Identify the property demonstrated.
4(3+5) = 4.3 +4.5

-associative property of
multiplication

-commutative property of multiplication

-distributive property

-identity property of multiplication

Answers

Answer:

Distributive property

Step-by-step explanation:

Please help me put these in the correct order. *No wrong answers* List the following in order Can you list the answers in order What is a list of number in a specific order called List the following evens in order

Answers

Answer:

Add or subtract. Show all work.

1) 9.069

2) 43.95

3) 20.64

4) 32.145

5) 7.16

6) 12.2

7) 25.95

8) 15.815

Increasing order (smallest to largest): 5, 1, 6, 8, 3, 7, 4, 2

Decreasing order (largest to smallest): 2, 4, 7, 3, 8, 6, 1, 5

Multiply or divide. Show all work.

1) 44.95

2) 225.9

3) 20.271

4) 11.557

5) 6.78

6) 41.3

7) 120

8) 515

Increasing order (smallest to largest): 5, 4, 3, 6, 1, 7, 2, 8

Decreasing order (largest to smallest): 8, 2, 7, 1, 6, 3, 4, 5

Please mark me Brainliest :)

how do you simplify this using the laws of exponents?

Answers

Answer:

x1 = x 61 = 6

x0 = 1 70 = 1

x-1 = 1/x 4-1 = 1/4

xmxn = xm+n x2x3 = x2+3 = x5

xm/xn = xm-n x6/x2 = x6-2 = x4

(xm)n = xmn (x2)3 = x2×3 = x6

(xy)n = xnyn (xy)3 = x3y3

(x/y)n = xn/yn (x/y)2 = x2 / y2

x-n = 1/xn x-3 = 1/x3

Step-by-step explanation:

i hope this helps if its wrong just delete my answer

A recipe for waffles calls for 2 cups of flour and 3 teaspoons of baking powder.

Jason uses 4 cups of flour.

How much baking powder should he use?


5 teaspoons

6 teaspoons

8 teaspoons

12 teaspoons

Answers

Answer:

The answer would be 6 teaspoons

Answer:

6 teaspoons my guy.

Took da test

Step-by-step explanation:

State if the two triangles are congruent. If they are, state how you know.​

Answers

Answer:

1) Not Congruent

2) Congruent

3) Congruent

4) Congruent

5) Not Congruent

6) Congruent

(I tried my best, hope this helps. Good luck hun)

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Naomi wants to buy a new computer for $840. She is considering two payment plans that require weekly payments.
Part A:
Write a linear equation that models each payment plan. Write your answers in slope intercept form. Explain why you decided which one is your slope and which one is your y-intercept.
Plan A: $180 down $60/wk payments
Plan B: $0 down $70/wk payments

Answers

Answer:

Linear equations take the form: y = mx + c

y is the dependent variable i.e the money that Naomi has to pay in total.

x is the independent variable which in this case is weeks.

m is the slope and this shows the change as a result of x. It should therefore represent the weekly payment as this is increases per week.

c is a the y-intercept which means its a fixed figure that doesn't change. It will therefore be the down payment because that does not change.

Plan A:

Naomi wants to pay $840. Using the formula format and explanation above (replace x with w so it makes more sense), the formula will be:

840 = 60w + 180

Plan B:

This has no down payment so there will be no y-intercept.

840 = 70w

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