One ballispicked at random from a box containing 3redballs and 1green balls. If X is the number of redballs picked, find the probability distribution of X.

Answers

Answer 1

Answer:

P(X = 0) = 0.25

P(X = 1) = 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability distribution of X.

3 red balls out of 4, one picked, so we can have either 0 red balls or 1 red ball. The probability disitribution is the probability of each outcome.

[tex]P(X = 0) = \frac{1}{4} = 0.25[/tex]

[tex]P(X = 1) = \frac{3}{4} = 0.75[/tex]


Related Questions

Please help!!! Find the domain of the function y = 2 cot(5∕8x).
A) All real numbers except odd integer multiples of 8π∕5
B) All real numbers except 0 and integer multiples of 8π∕5
C) All real numbers except 0 and integer multiples of 4π∕5
D) All real numbers except odd integer multiples of 4π∕5

Answers

Answer:

Function 

Step-by-step explanation:

) Domain is defined as the set of possible values of x where function is defined.

For domain, 

So, 

The value of x is define as 

The domain of the function is all real numbers except 

The range is defined as all the y values for every x.

So, The range of the function is all real numbers.

2) The general form of the cot function is 

Where, Period is 

On comparing, B=3

So, The period of the given function is 

3) Vertical asymptote is defined as the line which approaches to infinity but never touches the line.

The vertical asymptote is at  where function is not defined.

The two vertical asymptote is

Put n=0,

Put n=1,

So, The two vertical asymptote are 

Answer:

B.)

Step-by-step explanation:

took test

Please help with this function problem

Answers

Answer:

-2

-1

-2

Step-by-step explanation:

really ? this is a problem ? why ?

f(0) means the functional value for x = 0.

is x = 2 ? no.

so, automatically the other case applies, and f(0) = -2

f(2) means x=2

is x = 2 ? yes.

so that case applies, and f(2) = -1

f(5) means x=5

is x = 2 ? no.

so again, the case for x <> 2 applies, f(5) = -2

Y+10 like terms from expression 2

Answers

Answer:

y+10=2

y=-8

Step-by-step explanation:

y=2-10

y=-8

urgent help needed !!!!!!

Answers

Answer:

use gauthmath

Step-by-step explanation:

you will thank me later

What is |-2.24|? i need this question answered quickly

Answers

i think the answer is 2.24

I need help plzzz I do understand what they want me to do plz help I’m in summer school right now!!!

Answers

Answer:

B.

Step-by-step explanation:

Vertical line test is a test in which you draw a line that goes up and down through the function. If at any point it goes through the function twice, then the function is no longer a function. cheers

For each year t, the number of trees in Forest A is represented by the function A(t) = 72(1.025). In a neighboring forest, the number of trees in Forest B is represented by the function B(t) = 63(1.029).

Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 20 years? By how many?

Round your answer to the nearest tree.

Forest A or B will have _________ more trees.​

Answers

Answer:

Forest A will have 6 more trees.

Step-by-step explanation:

The number of trees in Forest A is represented by the function:

[tex]A(t)=72(1.025)^t[/tex]

And Forest B is represented by:

[tex]B(t)=63(1.029)^t[/tex]

And we want to determine which forest will have the greater number of trees after 20 years.

So, evaluate both functions for t = 20. For Forest A:

[tex]\displaystyle \begin{aligned} A(20)&=72(1.025)^{20} \\ &=117.9803...\\ &\approx 118 \text{ trees} \end{aligned}[/tex]

And for Forest B:

[tex]\displaystyle \begin{aligned} B(20) &= 63(1.029)^{20} \\ &=111.5958... \\ &\approx 112 \end{aligned}[/tex]

Therefore, after 20 years, Forest A will have 6 more trees.

Find y on this special right triangle



Answers

Answer:

Cos(x) = adjacent side/hypotenuse

[tex]cos(45)=\frac{\frac{7\sqrt{2} }{2} }{x} \\\\cos(45)x=\frac{7\sqrt{2} }{2}\\\\\frac{\sqrt{2} }{2}x=\frac{7\sqrt{2} }{2}\\\\x=\frac{\frac{7\sqrt{2} }{2}}{\frac{\sqrt{2} }{2}} =\frac{7\sqrt{2} }{2}*\frac{2}{\sqrt{2}} =7[/tex]

Use the Pythagorean Theorem to find y

[tex]y^{2} +(\frac{7\sqrt{2} }{2} )^{2} =x^{2} \\\\y^{2} =7^{2}-(\frac{7\sqrt{2} }{2} )^{2} \\\\y^{2}=49-\frac{49(2)}{4} =49-\frac{49}{2}=\frac{49(2)}{2}-\frac{49}{2}=\frac{98-49}{2}=\frac{49}{2} \\\\y=\sqrt{\frac{49}{2} } =\frac{7}{\sqrt{2} } =\frac{7\sqrt{2}}{\sqrt{2}(\sqrt{2})} =\frac{7\sqrt{2}}{2}[/tex]

Find the length of a side of a cubic die, if the volume of the die is 343/4 cubic inches
O 1.25 in.
0 1.50 in.
0 1.75 in.
01.95 in.

Answers

Answer:

The length of a side of a cubic die of volume equal to 343/4 is 4.41 inches.

Step-by-step explanation:

The volume of a cube is given by:

[tex] V = l^{3} [/tex]

Where:

l: is the length =?  

V: is the volume = 343/4 in³

By solving the above equation for "l" we have:

[tex] l = (V)^{1/3} = (343/4 in^{3})^{1/3} = 4.41 in [/tex]

Therefore, the length of a side of a cubic die of volume equal to 343/4 is 4.41 inches.

None of the options are correct for the given volume.

I hope it helps you!                                

Two balls are picked at random from a box containing 5 red balls and 3 green balls. What is the probability that 1 red ball and 1 green ball are selected?

Answers

Answer:

Step-by-step explanation:

Answer:

3/8 x 5/8= 15/64

Step-by-step explanation:

The profit, in dollars, of selling n items is given by P(n) = 0.86n - 2800. Identify the slope and the y-intercept.

Answers

Answer: 0.86 and -2800 (choice A)

Explanation:

Think of the given equation as y = 0.86x - 2800

Then compare it to y = mx + b

We see that m = 0.86 is the slope and b = -2800 is the y intercept.

Answer:

Slope: 0.86 , Y-intercept:-2800

Step-by-step explanation:

Linear equations go by the form of y=mx + c

where m is the gradient(slope of the graph) and c is the y-intercept

I need a fully completed (or at least for the 8th grade) khan academy account!!!
Please help me!!

Answers

Answer:

so you need a khan academy account?

Write each set in the indicated form.
If you need to use "
…" to indicate a pattern, make sure to list at least the first four elements of the set.

Answers

Answer:

a. Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}

Or

{y | y is a natural number and 11 < y < 16}

b. Rooster form: {3, 4, 5 ,6, ...}

Step-by-step explanation:

a. Rooster form: {12, 13, 14, 15}

All four numbers are natural numbers, therefore we would write this set of numbers in set builder form such that they will all have the same property. Thus:

Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}

Or as

{y | y is a natural number and 11 < y < 16}

b. Set-builder form: {y | y is a natural number and y > 2}

Since natural numbers are positive integers, this tells us that all values of the set are not less than or equal to 2. Therefore, they are integers that range from 3 and above.

Thus:

Rooster form: {3, 4, 5 ,6, ...}

What proportion of the students scored at least 23 points on this test, rounded to five decimal places

Answers

This question is incomplete, the complete question is;

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.

What proportion of the students scored at least 23 points on this test, rounded to five decimal places?

Answer:

proportion of the students that scored at least 23 points on this test is 0.30850

Step-by-step explanation:

Given the data in the question;

mean μ = 22

standard deviation σ = 2

since test closely followed a Normal Distribution

let

Z = x-μ / σ      { standard normal random variable ]

Now, proportion of the students that scored at least 23 points on this test.

P( x ≥ 23 ) = P( (x-μ / σ) ≥  ( 23-22 / 2 )

= P( Z ≥ 1/2 )

= P( Z ≥ 0.5 )

= 1 - P( Z < 0.5 )

Now, from z table

{ we have P( Z < 0.5 ) = 0.6915 }

= 1 - P( Z < 0.5 ) = 1 - 0.6915 = 0.30850

P( x ≥ 23 ) = 0.30850

Therefore, proportion of the students that scored at least 23 points on this test is 0.30850

If computers sell for ​$1160 per unit and hard drives sell for ​$ 102 per​ unit, the revenue from x computers and y hard drives can be represented by what​ expression? If computers sell for ​$ per unit and hard drives sell for ​$102 per​ unit, the revenue from x computers and y hard drives can be represented by

Answers

The answer to this questions is c

Find the area of 11 by 2

Answers

i believe the area is 22

11cm x 2cm = 22
I belive te area is 22

help pls ik the answers i just don’t k is how to show work :(

Answers

include the notation and just do the work on the page

Use the graph of the function y=g(x) below to answer the questions.

Answers

Answer:

Step-by-step explanation:

g(5) = 2 > 0

:::::

g(x) = 0 for x = -2, 2, 4

:::::

g(x) < 0 for  -3 ≤ x < -2

the division method of 680624 and 165649​

Answers

9514 1404 393

Answer:

680624 = 2^4 · 7 · 59 · 103165649 = 11^2 · 37^2

Step-by-step explanation:

Using the division method, you find prime divisors that give integer quotients until the final quotient is a prime. For small divisors, it is beneficial to make use of divisibility rules. For larger ones, you just have to try the list of primes to see what you get.

680624

The last two digits are divisible by 4, so the number can be divided by 2 twice (at least). We can keep dividing by 2 as long as the 1s digit is even.

  680624/2 = 340312

  340312/2 = 170156

  170156/2 = 85,078

  85078/2 = 42539

The next prime is 3. The divisibility rule for 3 is the sum of digits must be divisible by 3. 4+2+5+3+9 = 23, not divisible by 3.

The next prime is 5. For divisibility by 5, the number must end in 0 or 5. This is not divisible by 5.

The next prime is 7. For divisibility by 7, there are several possible rules you can use. One I find relatively easy to remember is to subtract double the 1s digit from the rest of the number and see if that is divisible by 7. Here, that gives ...

  4253 -2(9) = 4235; 423 -2(5) = 413; 41 -2(3) = 35 . . . divisible by 7

Continuing, we have ...

  42539/7 = 6077

There are additional divisibility rules for 11 and 13 that can be applied. For divisibility by 11, we can add pairs of digits: 77 +60 = 137, not divisible by 11.

For divisibility by 13, we can add 4 times the last digit to the rest:

  4253 +4(9) = 4289; 428 +4(9) = 464; 46 +4(4) = 62 . . . not divisible by 13

__

After this point, it is a matter of trying the primes one by one to see what the number may be divisible by. This "trial and error" will show you ...

  6077/59 = 103 . . . 103 is prime, so we're done

The final factorization is ...

  680624 = 2^4 · 7 · 59 · 103

__

165649

As luck would have it, this is a perfect square, so we can immediately reduce the problem to something a little easier.

  √165649 = 407

We can see "immediately" that this is not divisible by 2, 3, 5, or 7. However, 04+07 = 11, so this is divisible by 11.

  407/11 = 37 . . . 37 is prime, so we're done

The final factorization is ...

  165649 = 11^2 · 37^2

_____

As you can probably tell, it is convenient to have a list of prime numbers available. Here is a list of the first few primes.

  2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,

  61, 67, 71, 73, 79, 83, 89, 97, 101, 103

_____

Additional comment

If you start with the smallest primes, (2, 3, 5}, once you find a prime divisor, you only need to try primes greater than or equal to that one on the quotient. In any event, you only need to try primes up to the square root of the value you're trying to factor. If none of those work, then the number itself is a prime.

In the first problem, once we got to 6077, we would only need to try primes up to √6077 ≈ 77. That is, if 6077 turned out to be not divisible by any prime equal to 73 or less, then 6077 would be the last prime factor. (As we found, 6077 is composite, not prime, so using that number is just to illustrate the point regarding the largest value needed to be tested.)


Can someten help me find the answer?

Answers

answer is B that’s because if you use shadow clone jutsu, your chakra drains a lot more than the rest

Answer:

D

Step-by-step explanation:

It subtracts.

What is the area of triangle ABC? Round to the nearest whole number

Answers

9514 1404 393

Answer:

  C.  837

Step-by-step explanation:

The remaining angle is ...

  C = 180° -A -B = 180°-62° -67° = 51°

The law of sines tells us that the length AC is ...

  AC/sin(B) = AB/sin(C)

  AC = AB·sin(B)/sin(C) = 40·sin(67°)/sin(51°)

Using the area formula given, we now have ...

  area = 1/2(AB)(AC)sin(A)

  = (1/2)(40)(40·sin(67°)sin(62°)/sin(51°) ≈ 836.7

The area of the triangle is about 837 square units.

21 × 6 ÷ 7 + 12 - 15​

Answers

Answer:

15

Step-by-step explanation:

By order of operations, multiplication and division are done first, then the addition and subtraction. Remember, multiplication and division have the same precedence, as does addition and subtraction.

21*6 = 126

126/7 = 18

18 + 12 = 30

30 - 15 = 15

Answer:

15

Step-by-step explanation:

21 × 6 ÷ 7 + 12 - 15​

= 126 ÷ 7 + 12 - 15

= 18 + 12 - 15

= 30 - 15

= 15

Write an equation in point slope form for each line. Slope is 0 and (1 , 2) is on the line

Answers

Answer:

y -2 = 0(x-1)

Step-by-step explanation:

Point slope form is

y -y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y -2 = 0(x-1)

y-2 =0

If P(x) = 2x2 – 3x + 7 and Q(x) = 8 - x), find each function value.
15. P(-3)
16. Q(2)
17. P(4)
18. Q(-3)

Answers

Answer:

15. 52

16. 6

17. 59

18. 11

Step-by-step explanation:

What is the domain of the function graphed below?

Answers

Answer:

x<7

Step-by-step explanation:

Part G
You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?
PLSS HELP ME

Answers

Answer:i need this too lol

Step-by-step explanation:

For questions #1 and #2:
A) Write one sentence in your own words, describing the step you need to solve the problem.
B) Write the answer
EXAMPLE:
x/3 = 5
A. Multiply both sides by 3.
B. Answer is 15.
Question #1:
x - 3 = 10
Question #2:
2x = 8


I need help pleaseeeeee

Answers

Answer:

question 1

if you want x to stand alone

you will take the -3 off by crossing it to the other side

NB when a negative number crosses the equal sign it becomes positive

x =10+3= ×=13 is the final answer

Step-by-step explanation:

question 2

you will divide both sides by 2(because we want x to stand alone)

so final answer is ×=4

A 20 foot ladder is leaning against the outside of the house while a painter is painting. The ladder makes an angle of 72∘ with the ground. What is the distance between the foot of the ladder and the house? Round your answer to the nearest foot. the answer is not 19.02

Answers

Cos (72°) = x/20

x=cos(72°)×20

x=6.2

x≈6

Answer:

x=6

Step-by-step explanation:

What is the height of a triangle of base 10m and an area of 60m²​

Answers

A = 0.5*b*h

60 = 0.5*10*h

60 = 5h

5h = 60

h = 60/5

h = 12

Answer: The height is 12 meters.

Answer:

6 m

Step-by-step explanation:

Since the area is 60 m squared and the base is 10 m, the height is 12.

Formula: base x height / 2 = area

= 10 x height / 2= 60 m squared

60 / 10 = 6 x 2 = 12.

Hope this helps!

IMPORTANT NEED ANSWER ASAP !!

The stem plot shows the number of mini-marshmallows eaten in one minute by a group of people competing in a contest.

Row1 with a 2 to the left of the bar with a 9 to the right. Row 2 with a 3 to the left of the bar with 8, 9 to the right. Row 3 with a4to the left of the bar with 2, 6, 7, 8, 8to the right. Row 4 with a5to the left of the bar with 3, 5, 5, 5 to the right. Row 5 with a 6to the left of the bar with 1, 3, 7to the right.
Key: 2|9 = 29 mini-marshmallows

Which of the following is a correct statement about the distribution?

There are no outliers.
The distribution is skewed left.
The center is around 44.
The distribution is bimodal.

Answers

Step-by-step explanation:

mark me as brainlist...........

Answer:

I got to say, the other guy got it good. Thanks dude.

Step-by-step explanation:

Other Questions
Which of the following can a UAV do?1. Provide information about geography2. Provide information about soil nutrients3. Provide information about soil hydration4. Provide information about plant health Solve for x: 7 < x 1 < 8 6 < x < 9 6 > x > 9 6 > x > 9 6 < x < 9 Two glasses labeled A and B had equal amounts of water. Ted heated the water in one of the glasses. He then put two drops of food coloring into each of the two glasses. The table shows the time taken by the food coloring in the two glasses to spread out.Which of the following statements is correct?A - The water in Glass B was heated; therefore, the particles in Glass B have greater kinetic energy and move faster.B - The water in Glass A was heated; therefore, the particles in Glass A have greater kinetic energy and move faster.C - The water in Glass B was heated; therefore, the particles in Glass B move slower.D - The water in Glass A was heated; therefore, the particles in Glass A move slower. Simplify 25/81 can you guys please help me Find the height of the triangle by applying formulas for the area of a triangle and yourknowledge about triangles.A. 5.3ydsB.3.7ydsC.1.9ydsD.2.6yds The ratio of the length and the breadth of rectangle is 2:1.If the rectangle is 12m long, find the its breadth Find the surface area of the composite figure Please help!!! Much appreciated!! all three level of professionals are required to run and organizations or a smoothly justify it What do scientists use to determine the temperature of a star? An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. D. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. Plss help I need this ASAP The accompanying table shows the amount ofwater vapor, y, that will saturate 1 cubic meter ofair at different temperatures, x.Write an exponential regression equation for this set of data, rounding all values to the nearest thousandth. Using this equation, predict the amount of water vapor that will saturate 1 cubic meter of air at a temperature of 50 degrees centimeters, and round your answer to the nearest tenth of a gram. Solving Equations by Dividing 2) 9x= -135 Solve for x. 0 -144 O 126 O 15 0 -15 herical piece of candy is suspended in flowing water. The candy has a density of 1950 kg/m3 and has a 1.0 cm diameter. The water velocity is 1.0 m/s, the water density is assumed to be 1000.0 kg/m3, and the water viscosity is 1.010-3 kg/m/s. The diffusion coefficient of the candy solute in water is 2.010-9 m2/s, and the solubility of the candy solute in water is 2.0 kg/m3. Calculate the mass tran DNA is referred to as a______, meaning that it hasstrands that are______together. The bar graph shows the median income for families in the United States from 1993 through 2000. Which two consecutive years saw the largest increase in median income?A. 19941995B. 19971998C. 19981999D. 19992000 what was one advantage and one disadvantage of joint-stock companies? Please see picture for question. Which amendment expanded the right to vote to about half the population? FifteenthAfrican American men Nineteenthwomen Twenty-fourthno poll taxes Twenty-sixth18 years old