3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. What is the probability that both of the marbles drawn are blue? a. b. $ 24% * 39% C. d 0 14% 3 A bag contains red and blue marbles , such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble , replacing it , and drawing another marble . The two draws are independent . What is the probability that both of the marbles drawn are blue ? a . b . $ 24 % * 39 % C. d 0 14 %​

3 A Bag Contains Red And Blue Marbles, Such That The Probability Of Drawing A Blue Marble Is 8 An Experiment

Answers

Answer 1

Answer:

My answer: B

Step-by-step explanation:

The probability mass function of random variable X which represents the number of blue marbles drawn in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

The probability of drawing exactly one blue marble = 0.46875

Complete Question

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.

Probability of drawing a blue marble = P(B) = (3/8)

Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)

- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625

- Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)

= (3/8) × (3/8) = (9/64) = 0.140625

The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

b) Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

So, B is the answer.


Related Questions

Which of the following is a solution to the equation ¾x-12=-18?

4.5
-22.5
-40
-8

Answers

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

                     We have the equation [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x-12=-18}}[/tex].

                     First we should add 12 to both sides of the equation.

                     [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-18+12}}[/tex]. Simplify

                    [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-6}}[/tex].

                   This done, let's multiply the equation by 4. You'll see why

                   [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{\not4}x\times\not4=-6\times4}}[/tex]

                   Did you see how on the left, the 4's cancelled? That's

                   because dividing by 4 and then multiplying the same

                   number, or the result, by 4, are operations that undo each

                   other.

                   This being said, let's finish solving this equation in terms of x

                   [tex]\large\boldsymbol{\sf{3x=-24}}[/tex]. See how this works?

                  Now, remember that we ought to use inverse operations

                  to solve for x. These are operations that undo each other.

                  So if x is multiplied by 3, we should... divide by 3!

                  Also, please keep in mind that we can only divide the left side

                  by 3 if we divide the right side by 3.

                 [tex]\large\boldsymbol{\sf{\displaystyle\frac{3x}{3}=\displaystyle\frac{-24}{3}}}[/tex]. Once again the 3s on the left cancel, leaving

               x. Wait! Isn't that what we wanted? Yepp, sure!

               The right side is now -8. Thus,

               [tex]\large\boldsymbol{\sf{x=-8}}[/tex]

                 [tex]\orange\hspace{300pt}\above3[/tex]

Linear function model

Answers

Answer:

f(x) = 800 - 75x

Step-by-step explanation:

Rachel took a loan of 800 dollars | Money Owed: f(x) = 800

She pays back 75 dollars a week <-> (x) | Money Owed: f(x) = 800 - 75x

If
f(x) = 2x² - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [?]x² + [?]x + [?]

Answers

Answer:

f(g(x)) = 50x² + 140x + 93

Step-by-step explanation:

f(g(x)) means that within the f(x) equation, you want to replace all of the x variables with the g(x) equation.

So,

f(g(x)) = 2 (5x+7)² -5

= 2 ( 25x²+ 70x + 49) - 5

= 50x² + 140x + 93

:)

Solve the system.
{3x+ 2y=8
{3x+3=y

Answers

Let's take this problem step-by-step:

Note:

'-- (1), -- (2), etc.' are equation markers used to show steps

First step, isolate all the variables to one side and constant to the other

 [tex]3x + 2y = 8--(1)\\3x-y=-3--(2)[/tex]

Second step: (1) - (2)

 [tex](1) - (2)\\3x + 2y-(3x-y)=8-(-3)\\2y + y=11\\3y = 11\\y = \frac{11}{3} --(3)[/tex]

Third step: Plug (3)'s value of y into (2)

[tex](3)_.into_.(2)\\3x -\frac{11}{3} = -3\\3x = \frac{11}{3}-3\\ 3x = \frac{11-9}{3} \\3x = \frac{2}{3} \\x=\frac{2}{9}[/tex]

Answer: x = 2/9, y = 11/3

Hope that helps!

#LearnwithBrainly

Answer:

3x+ 2y=8  ⇒ ( 1 )

  3x+3=y  ⇒ ( 2 )

First, let us take the equation (1).

We can replace y with ( 3x + 3 ).

Solving the below expression let us find the value of x.

[tex]3x + 2y = 8\\3x + 2 ( 3x + 3 ) = 8\\3x + 6x + 6 = 8\\9x + 6 = 8\\9x = 8 - 6\\9x = 2\\x = \frac{2}{9}[/tex]

And now let us take equation ( 2) to find the value of y.

For that let us replace x with 2/9.

Let us find it now.

[tex]3x+3=y\\\\3*\frac{2}{9} +3=y\\ \\\frac{6}{9} +3=y\\ \\\frac{6}{9} +\frac{3}{1} =y\\\\\frac{6}{9} +\frac{3*9}{1*9} =y\\\\\frac{6}{9} +\frac{3*9}{1*9} =y\\\\\frac{6}{9} +\frac{27}{9} =y\\\\\frac{33}{9} =y\\\\\frac{11}{3} = y[/tex]

Please help me with this on the picture.

Answers

Answer:

year 7 mean: ≈7.714

year 8 mean: 14

Step-by-step explanation:

mean = sum / number of observations

number of observations = 5, as there are 5 bars for each year

year 7 is the bar on the left for each day

observations for year 7:

5, 8, 9, 13, 19 (left to right)

sum = 5 + 8 + 9 + 13 + 19 = 54 for year 7

mean for year 7 = 54 / 7 ≈ 7.714

observations for year 8 (left to right):

10, 11, 18, 12, 19

sum = 10 + 11 + 18 + 12 + 19  = 70

mean = 70 / 5 = 14

How many positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1?

Answers

Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:

[tex]n_1 = 10, n_2 = n_3 = 1[/tex]

Hence, the number of integers is given by:

N = 10 x 1 x 1 = 10.

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Solve 10x=3
how do i take logarithms on both sides?​

Answers

10x=3
3/10=x
3/10=0.3
X=0.3

Answer:

x ≅ 0.477.

Step-by-step explanation:

You probably meant:

[tex]10^x = 3.[/tex]

If that is the case, then let's solve it:

[tex]10^x = 3\\\\log\,10^x=log\,3\\\\x = log\,3\\\\x = (approx.)\,\,0.477.[/tex]

The product of a number and the sum of six and five is equal to the sum of the number and thirteen. What is the number?

Answers

The number is 13 / 10

How to solve words problem using equation?

The product of a number and the sum of six and five is equal to the sum of the number and thirteen.

Therefore,

let the number  = x

x(6 + 5) = x + 13

Hence,

x(6 + 5) = x + 13

11x = x + 13

11x - x = 13

10x = 13

x = 13 / 10

Therefore, the number is 13 / 10

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the eastern alberta DC transmission like is a project that began construction in 2012. It includes a 500km, 500kv power line from the brooks area to the edmonton area. (the V stands for volts, and SI unit for the electrical potential)

Answers

The number of the required towers based on the information given is 3334.

How to calculate the number?

From the information given, it should be noted that the length of power line is 500km

The towers supporting the line are 1.5hm apart. It should be be noted that 1km = 10hm. Therefore, the require towers will be:

= (500 × 10)/1.5

= 3334

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Which of the following is correct based on this picture? A. none of these are correct B. sinZ=61/73 C. cosZ=61/73 D. tanZ=61/73

Answers

Answer:

C.) cosZ=61/73

Step-by-step explanation:

I hope you got the answer

Simplify: √36x² if x is less than or equal to 0

Answers

Answer:

[tex]-6x[/tex]

Step-by-step explanation:

[tex]\sqrt{36x^2} = 6\times\sqrt{x^2}\\\\=6\times-x\\\\=-6x[/tex]

A beekeeper’s hives are making honey at a constant rate. The profit from honey can be represented by the equation

P(t) = -16t2 + 2050t + 150, where t is the time in days and P(t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

Answers

Using the vertex of a quadratic function, she should harvest her honey after 64 days to maximize profit.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

The profit function is given as follows:

P(t) = -16t² + 2050t + 150.

The coefficients are a = -16 < 0, b = 2050, c = 150, hence the t-value of the vertex is:

[tex]t_v = -\frac{b}{2a} = -\frac{2050}{-32} = 64[/tex]

Hence she should harvest her honey after 64 days to maximize profit.

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Richard wants to purchase a Jeep. The purchase price of the Jeep is $ 42 , 000. The dealership will allow him to pay cash or finance the Jeep with a down payment of $ 4 , 000. and 72 monthly payments of $ 680. Richard chose to finance the jeep.

Answers

It will take him around 56 months to finish off his payment if he puts a down payment of 4,000 and pays $680 a month

Answer:

Good for him for buying a Jeep

Step-by-step explanation:

modal mark of 1,2,3,4,5,6,7,8 ​

Answers

Answer:

1

Step-by-step explanation:

the mode is the number that is repeated more often than any other numbers. the given numbers are 1,2,3,4,5,6,7,8 firstly, the numbers should be counted accordingly.

the number 1 is counted as 1.

the number 2 is counted as 1.

the number 3 is counted as 1.

the number 4 is counted as 1.

the number 5 is counted as 1.

the number 6 is counted as 1.

the number 7 is counted as 1.

the number 8 is counted as 1.

after counting the numbers, the maximum number counted (or) repeated most is 1 as 1 times.

the mode of the given values is 1.

Using a supply and demand graph for gasoline starting at an equilibrium price of $5.00 per gallon and a quantity of 20
gallons, show the effect of a government price ceiling on gasoline of $2.50 a gallon. Is this a binding price ceiling? Why
or wy not? Please explain.

Answers

Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.

2. The effect of a government price ceiling on gasoline of $2.50 a gallon is shown in the image attached. There is a binding at $2.00.  

3. As  price increases, demand also increases in times of gasoline because due to the war, Russia have refuse selling their oil and as such, this has lead to increase demand on the gasolines on ground.

What is Binding Price Ceiling?

A binding price ceiling is one that often takes place if the government are known to have set up a  standard price on a good or goods at a specific price that is below equilibrium.

Therefore, to the number one question, we respond Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.

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Suppose 20 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 20 cars is

Answers

There are 6,840 different top 3 finishes.

In how many ways can the top 3 cars finish the race?

We need to count the number of options for each position.

For the first position there are 20 possible options (20 cars).For the second position, there are 19 options (because one car is already on the first position).For the third position, there are 18 options.

The number of different top 3 finishes is given by the product between the numbers of options, so we have:

20*19*18 = 6,840

There are 6,840 different top 3 finishes.

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Aisha has a health insurance policy with an 80/20 coinsurance and deductible of $3,200. She has met 45% of her deductible before having
some tests done. Given the cost of her tests below, how much will she pay?
Bill #1- Blood Test = $345.25
Bill #2 - Allergy Test = $175.00
Bill #3- MRI = $920.65
Select one:
O a. $319.10
O b. $1,440.90
O c. $3,200.00
O d. $1,760.00

Answers

The payment for the test based on the information about the insurance will be B. $1440.90.

How to compute the value?

The cost for the payment will be:

= Blood test expenses + Allergy test - MRI expenses

= $345.25 + $175.00 + $920.65

= $1440.90

Therefore, the payment for the test based on the information about the insurance will be $1440.90

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need help with this question ​

Answers

The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

What is a conic section?

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the graph:

a) The domain: all values of x

The range: all values of y

Except: Values at asymptotes are excluded.

Domain = (-∞, -2) U (-2, 2) U (2, ∞)

Range = (-∞, -2) U [-1, ∞)

b)

x-intercept = (-1.5, 0), (1.5, 0)

y-intercept = (0, -1)

c) Horiznotal asymptotes: y = -2

d)Vetical asymptotes: x = -2, x = 2

e) Oblique asymptotes: There is no oblique asymptotes

Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

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How can you tell if 3 given angles form a triangle?

Answers

Answer:

You can tell if the sum of the degrees of all the angles adds up to 180.

if all 3 interior angles add up to 180°

1. a. Determine the equation of a parent function for the parabola that has zeros 1,-5.
Determine the member equation that passes through the point (-2,-36)

Answers

The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .

What is a Parabola ?

Parabola is a U shaped figure , whose all points are at a fixed distanced from a point called as focus and a line called as Directrix.

It is given that

The zeroes of the parabola is 1,-5.

The equation of the parabola is given by

y = a( x - x')(x-x'')

y = a( x-1)( x+5)

This is the equation for the parent function for the parabola

The parabola passes through the point ( -2 , -36 )

-36 = a( -2 -1)(-2+5)

-36 = (-3) * (3) a

-36 = -9 a

a = 4

y = 4 ( x-1)(x+5)

The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .

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Ten copper pennies having a total mass of 25 grams warm up from 23oC to 38oC as you hold in your hand. If the specific heat capacity of copper is 0.39 J/(g *oC), how much energy is absorbed by the pennies?

Answers

The amount of energy absorbed by the pennies made up of copper is 146.25J

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Amount of energy absorbed = mass * temperature change * specific heat capacity

Amount of energy absorbed = 25 * (38 - 23) * 0.39 = 146.25J

The amount of energy absorbed by the pennies made up of copper is 146.25J

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Slope is given by the formula

Answers

Answer:

A

Step-by-step explanation:

Answer

You never add or subtract to get the slope. That makes C and D incorrect. B is the upside down of the answer.

Answer: the answer is A slope = rise / run

Write an equation that represents the line

Answers

Answer:

y=2/3x±3

Step-by-step explanation:

use the formula y=MX+b m being alive b being the y intercept

Hello,

f(x) = ax + b

We know f(0) = 3 = b

a = ∆y/∆x = 3/2

equation that represents the line → y = 3/2x + 3

Determine the amount needed such that when it comes time for retirement, an individual can make semiannual
withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. Round
your answer to the nearest cent.
$938,272.00
b. $941,790.00
$535,528.03
0
$547,577.41

Answers

Answer:

the correct answer is 0 54,577.41

Step-by-step explanation:

you needed to take the withdrawal amount divide it by 35 and divide that answer by the 4.5 percentage rate

Answer:

C. $535,528.03

Step-by-step explanation:

Trust me

Select the correct answer.
Consider the graph of function f below.
Y
-8 -4
8+
O
A
O
4
-4-
-8
The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
4 8
O g(x)=f(x) + 4
g(x) = f(x-4)
g(x) = f(x) - 2
Og(x)=f(x + 2)

Answers

Answer:

742

Step-by-step explanation:

4x203

Therefore , the solution of the given problem of function comes out to be g(x) is given by g(x) = (x-4)² + 6

What is function ?

A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input.

Here, we have,

Given the graph of the original function f(x), whose vertex is at (0, 0), and indeed the graph of the translating function g(x), whose vertex is at (0, 0), (5, 2).

Be aware that the translated function's vertex is 2 units higher and 5 units to the right of the f graph's graph (x).

The function f(x) is then translated 5 units toward the right и 2 units up to arrive at g(x).

Recall that provided a function, f(x), is characterized as a parabola with a vertex at (h, k).

=> f(x) = (x-h)² + k

The outcome of translating a unit to the right with b unit up is

=>f'(x) = (x-h-a)² + k + b

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WHAT IS THE CORRECT ANSWER ANSWER ASAP

Answers

Answer:

d

Step-by-step explanation:

Equation P: a + b = 6
Equation Q: 4a + 2b = 19

Which of the following steps can be used to eliminate the a term?

−1(4a + 2b = 19)
−4(4a + 2b = 19)
−4(a + b = 6)
4(a + b = 6)

Answers

Answer:

-4(a + b = 6)

Step-by-step explanation:

When you multiply equation P by -4, you obtain -4a - 4b = -24. You can then add this equation to equation Q to eliminate the a term.

translate the sentence into an equation rhoda's score decreased by 10 is 51 use r to represent rhoda's score

Answers

Answer: r - 10 = 51

Step-by-step explanation:

Solve the system of equations.


y+4z=0
4x+y-2z=2
-3x-3z=-9

Answers

Step-by-step explanation:

y+4z=0

4x+y-2z=2

-3x-3z=-9

Answer:

x = 7/3y = - 8/3z = 2/3

Step-by-step explanation:

y + 4z = 0

4x + y - 2z = 2

____________ -

- 4x + 6z = - 2

- 4x + 6z = - 2 → times 3 → - 12x + 18z = - 6

- 3x - 3z = - 9 → times 4 → - 12x - 12z = - 36

- 12x + 18z = - 16

- 12x - 12z = - 36

______________ -

30z = 20

z = 20/30

z = 2/3

y + 4(2/3) = 0

y + 8/3 = 0

y = - 8/3

- 3x - 3z = - 9

- 3x - 3(2/3) = - 9

- 3x - 6/3 = - 9

- 3x - 2 = - 9

- 3x = - 9 + 2

- 3x = - 7

x = - 7/- 3

x = 7/3

3. What is the measure of angle HEK in this figure?

95
55
85
150​

Answers

Answer:

95 is the correct answer

Step-by-step explanation:

The initial or beginning side is H.  Look on the protractor and you will see the top number is 55 degrees.  That is where we start.  Now, go to line E, that is where we end.  The top number is 150.  To find <HEK, we need to subtract 55 from 150 to get 95.

Other Questions
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