A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
The director is going to choose 8 of these kittens at random to be in the commercial.
What is the probability that the director chooses 3 boy kittens and 5 girl kittens? Round your answer to three decimal places.

Answers

Answer 1

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that [tex]N = 8 + 10 = 18[/tex]

We want 3 boys, so [tex]k = 8[/tex]

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that [tex]n = 8[/tex]

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323[/tex]

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.


Related Questions

In New Jersey, a survey of students in Mrs. Camp's 10th grade class reported that 45.8% said they had a pet. There are 28 students in her class, and the average number of students in 10th grade classes in New Jersey is 28. If there are 1500 10th grade classes in New Jersey, what is the best estimate of the the number of 10th grade students in New Jersey who have a pet? Round your answer to the nearest hundred.

Answers

9514 1404 393

Answer:

  19,200

Step-by-step explanation:

The number of students with a pet is estimated to be ...

  (0.458)(1500)(28) = 19,236

About 19,200 10th-grade students in New Jersey have a pet.

Find the 98th term of the arithmetic sequence 8, 24, 40?​

Answers


8+97(24-8)
8+97(16)
8+1552
1560

Answer:

Find the 98th term of the arithmetic sequence 8, 24, 40, .

answer is 1560

Step-by-step explanation:

Simplify 9p + 3 + 4p + 7p - 4p - 4p and explanation please.

Answers

Step-by-step explanation:

this is your answer

hope it will help you

Transformations,, I have no clue what to do :(

Answers

Answer: 17

Step-by-step explanation:56%

Geometry Question Need Help. I will give brainliest.

Answers

Answer:

The correct answer is D. The points are rotated 180 degrees and scaled by a factor of 0.5.  I assume that the 0.5 is the expected value in the text box labelled "D" (for dilation perhaps?)

Marc claims that V17 is greater than 71. Jenny claims that it is
impossible to compare the numbers without a caldulator. Is either
friend correct? Explain.

Answers

None of them are correct the square root of 17 will obviously be less than the square root of 71 to the 3rd power. As for Jenny it is definitely possible to calculate this without a calculator.

Radius of sphere js 6 centimeters what is volume

Answers

the equation for volume of sphere is 4/3 x π x r^3

so just put the numbers in

4/3 x π x 6^3

= 288 π cm^3

Answer:

The volume of a sphere is given as

4/3 πr^3

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm, we can plug that in to the formula

4/3 π6^3

Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.

Step-by-step explanation:

Hope it is helpful....

The game is used in a school to rasie money for charity. Each player pays 30p to play this game. To win a bag of crisps players have to sxore exactly 7. Each bag of crisps cost the school 20p. How much should the school expect to raise for charity if 60 peoples played the game​

Answers

Answer:

The answer is "1500p".

Step-by-step explanation:

The given probability is = 7. so, https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D

It implies, that only if  https://tex.z-dn.net/?f=120 people enjoy the sport, its school will gather https://tex.z-dn.net/?f=%5C%20120%20%5Ctimes%20%5C%2020%5C%20p%20%3D%20%5C%202400%20%5C%20p

But,  https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D its side will survive = 30 people, as well as the school would have to invest https://tex.z-dn.net/?f=%5C%2030%20%5Ctimes%20%5C%2030p%20%5C%20%3D%20%5C%20900p

for lollipops  So, the school will collect = https://tex.z-dn.net/?f=2400%20-%20900%20%3D%201500p

IF RIGHT PLZ GIVE BRAINLIEST  

THANK U  

HAVE A GREAT DAY AND BE SAFE :)

XD

The school can expect to raise approximately £85.71 for charity if 60 people played the game.

If each player pays 30p to play the game, and 60 people played the game, the total amount raised by the school would be:

Total amount raised = Number of players * Cost per player

Total amount raised = 60 * 30p

Now, let's calculate the cost of the crisps won by the players:

Cost of crisps won = Number of crisps won * Cost per crisp

Since each bag of crisps costs 20p, and players have to score exactly 7 to win a bag of crisps, we need to determine the number of bags of crisps won.

To find the number of bags of crisps won, we divide the total number of players by the number of players required to win a bag of crisps:

Number of bags of crisps won = Number of players / Number of players required to win a bag of crisps

Number of bags of crisps won = 60 / 7

Now, we can calculate the cost of the crisps won:

Cost of crisps won = Number of bags of crisps won * Cost per crisp

Cost of crisps won = (60 / 7) * 20p

Finally, to determine the amount the school expects to raise for charity, we subtract the cost of the crisps won from the total amount raised:

Amount raised for charity = Total amount raised - Cost of crisps won

Amount raised for charity = 60 * 30p - (60 / 7) * 20p

To simplify the calculation, we can convert the pence to pounds by dividing by 100:

Amount raised for charity = (60 * 30) - (60 / 7) * 20 = £(1800 - (1714.2857))

Amount raised for charity ≈ £85.71 (rounded to two decimal places)

Therefore, the school can expect to raise approximately £85.71 for charity if 60 people played the game.

To know more about charity click here :

https://brainly.com/question/31888282

#SPJ2

Welp❌❌❌❌❗️⭕️welp welp

Answers

Answer:

D

Step-by-step explanation:

:D

Find the value of x. Round to the nearest tenth

Answers

Answer:

x=24.1

Step-by-step explanation:

soh cah toa

cos(24°)=22/x

cos(24)= 0.9135

0.9135=22/x

0.9135x=22

x=22/0.9135

x=24.1

Answer:

24.1

Step-by-step explanation:

By sine rule:

[tex] \frac{ x}{\sin 90 \degree} = \frac{22}{\sin (90 - 24)\degree} \\ \\ \frac{x}{1} = \frac{22}{ \sin 66 \degree} \\ \\ x =24.081998127 \\ \\ x \approx 24.1[/tex]

The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.4 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi.

Required:
a. Should the fiber be judged acceptable? Use the P-value approach.
b. What is the probability of not rejecting the null hypothesis at α=0.05 if the fiber has a true mean breaking strength of 102 psi?
c. Find a 95% one-sided lower CI on the true mean breaking strength.
d. Use the CI found in part (d) to test the hypothesis.
e. What sample size is required to detect a true mean breaking strength of 101 with probability 0.95?

Answers

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

Plz help it’s due today’s

Answers

Answer:

% increase

Step-by-step explanation:

80(1.15) = 92

At 5am the temperature was -13f degrees. At 5pm on the same day the temperature was 39f. Which expression represents the increase in temperature?

A 39- 13
B -13 - 19
C -13 - 39
D 39 - ( -13)

Answers

Answer:

D

Step-by-step explanation:

Process of elimination, -13 is negative so we eliminate A, There is no 19 in the Math problem so we eliminate B, -13 - 39 would lead to a negative number but since were increasing from temperate it has to be positive so it's not C and answer D would lead to a positive number!

(311) and (33)
What is the distance between (3

Answers

Answer:

278

Step-by-step explanation:

Always subtract if u are calculating the distance

Which of the following inequalities matches the graph? 100 point

Answers

Question:

Which of the following inequalities matches the graph?

Answer:

Looking at the graph the y values does not change, it stays at zero

The shaded area are the numbers under O

This means the answer is y ≤ 0

The answer is y ≤ 0

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

What is 8.23 divided by 103?

Answers

Answer:

0.08

Step-by-step explanation:

If u do the math or put it in the calculator u should get 0.08


Determine the value of x.
1) 109°
2) 71°
3) 142°
4) 35.5°

Answers

3) 142°
you just multiply 72 by 2p

The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?

Answers

Please mark as brainliest

Answer:

we know that, Volume of cube=a³

Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)

Step-by-step explanation:

ATQ: 2x=a³ and, x=A³

a=³√2x and, A=x

we know that, surface area of cube is 6a²

Thus, surface area of 1st cube = 6(³√2x)²

= 6³√4x²

Surface area of 2nd cube=6(x)²=6x²

Ratio of S.A=(6³√4x²)÷(6x²)

Ratio of S.A=³√4:1

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Simplify the expression:
7(1 + 7x) =

Answers

Answer:

7 x 8x

Step-by-step explanation:

1) Classify each function as an exponential growth or an exponential decay. 1 point
f(x) =1/2

Answers

Answer:

f(3)=3/6=1/2

Step-by-step explanation:

hello

A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Chris chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles he chooses are blue? Write your answer as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

P(BB)=(4/10)(3/9)

P(BB)=12/90

P(BB)=2/15

HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!

Answers

G/9 and it says I need at least 20 characters

Answer:

Option C

g/9

Step-by-step explanation:

g ÷ 9

[tex] = \frac{g}{9} [/tex]

can somebody plllllzzzzzzzzzzz help me with this-2 (x + 4 + 5y)

Answers

Answer:

-2x -8-10y

Step-by-step explanation:

-2 (x + 4 + 5y)

distribute

-2x -8-10y

Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be

Answers

Answer: 10 cats

Step-by-step explanation:

3/2

15/x

3*5=15

2*5=10

3/2=15/10

Answer:

20

Step-by-step explanation:

20

determine the value of X and Y
PLS HELP :)

Answers

Answer:

x=90º

y=64º

Step-by-step explanation:

180-67=113

180-75=105

540-90-113-105=232

232/2=116

180-116=64º

180-90=90º

what is 30% of $40 is ​

Answers

Answer:

$12

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

30/100 = X/40

X/40 = 30/100

X*40/40 = 30*40/100

X = 1200/100

X = 12

Some values of the linear function 'f' are shown in the table what is the value of 3?
X | F (x)
0 | -2
2 | 4
6 | 16

Answers

6 | 16 is the correct answer I believe

Please answer my questions truthfully and not gibberish just for points

Answers

Answer:

51. / 13.7

54. / 17.85

29. / 5.15

Step-by-step explanation:

How old are you?

Answer:

The original cable was 5.15 m long.

51: $13.70

53: $16.50

54: $17.85

55: 4.4 miles

56: $49.35

Step-by-step explanation:

The answer to the first question (the one about the cables): So you would solve it by adding the lengths of the cable together.

Cut off piece: 1.65 m       Remaining cable: 3.5 m

To find the original length, we need to add the cut off piece and the remaining cable together.

1.65+3.5= 5.15

The original cable was 5.15 m long.

A. 11
B125
C. 275
D 450

Answers

Answer:

C

Step-by-step explanation:

duh

Which of the following grid correctly graphs the points A (3,1) and C (1,3)

Answers

Answer:

its the top right

Step-by-step explanation:

x before y

The top right in the corner
Other Questions
PLEASE HURRY AM TIMED3 1/31 1/4 to the nearest whole number. What function of language is involved when members of the LGBTQ (Lesbian, Gay, Bisexual, Transgendered, Queer) community struggle to find acceptable terms for describing sexual orientation?A. sharing meaningb. linguistic relativity c. linguistic determinismd. naming Which type of scientist studies how to use plants for food, medicine and other products?Pls help fast !!!!!!!!!!pleaseeeee Read the excerpts from "opening statements from John F. Kennedy and Richard M. Nixon First Televised Debate."Kennedy: I'm not satisfied until every American enjoys his full constitutional rights. If a Negro baby is born--and this is true also of Puerto Ricans and Mexicans in some of our cities--he has about one-half as much chance to get through high school as a white baby.Nixon: We are for programs that will expand educational opportunities, that will give to all Americans their equal chance for education, for all of the things which are necessary and dear to the hearts of our people.Which statement best compares Nixon's and Kennedy's positions on educational opportunity?Kennedy wishes to expand the educational needs of minorities, while Nixon is much more focused on helping these individuals achieve financial stability.Both claim they wish to expand educational opportunity, but Kennedy offers more explanation about which populations he would like to specifically target with expansion programs.Both claim that they would like to expand educational opportunities, but Nixon is much more specific about the populations he would like to address with expansion programs.Kennedy wishes to expand educational opportunities for minorities, while Nixon argues that doing so will require unnecessary government interference. 5. Which of the following poets was unable to attend college?A. Langston HughesB. Paul Laurence DunbarC. Countee CullenD. All of the above Two trains, Train A and Train B, weigh a total of 280 tons. Train A is heavier than Train B. The difference of their weights is 176 tons. What is the weight of each train? If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!! Which word BEST describes 9(2x+6y)A ConstantB. Equationc. ExpressionD. Inequality Please help I really don't wanna fail this is so hard I will give brainliest to the person with the CORRECT ANSWERS !Please don't do it for the points : How did the terms of the treaty ending Russia's participation in World War I contribute to the rise of anti-Bolshevism?A. By prohibiting trade agreements with Russian businesses B. By demanding the end of political alliances with the allied powersC. By requiring the disbanding of the standing Russian military D. By surrendering a large portion of Russian territory to the Central powers 100 POINTS! Answer the questions and provide an explanation! European traders impressed the Chinese government, who held them in high regard. Please select the best answer from the choices provided T F Below is how tall (in meters) each of the five players on Deandra's basketball team is. 7.1 2 1.5 1.8 1.6 Find the median height. Leading up to the war of 1812, many Americans believed the ____________ had provided arms to the American Indians.PLEASE HELP MUCH LOVE!! 3.Simplify(3x - 14) que elementos del sistema solar tenian que explorar las naves cuando fueron lanzadas? 3N and 3N+3 are two consecutive multiples of three.a The sum of the two numbers is 141. Write down an equation to show this.b Solve the equation to find the value of Nc Work out the values of the two initial numbers. 15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps 2. Camilla sold 181 tickets for the school play. Student tickets cost $12 and adulttickets cost $16. Camilla's sales to taled $2508. How many adult tickets and howmany student tickets did Camilla sell? Which option describes the best audience for a short story about a funny incident that happened in a sixth-grade classroom?Select one:high-school teachersparents of preschoolersmiddle-school studentsprofessors of writing