A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33

Answers

Answer 1

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

Answer 2

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

What is the probability?

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

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Related Questions

Calculate the distance between the points KL if L is located on the origin and K is 3 units to the left of y-axis and 5 units upwards from the x-axis.

Answers

Answer:

answer must be √34 in my opinion.

starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.​

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Answer:

end -8 and move -3 . start at -8 and move -3

What pair of angles must have the same measure?I'll give brainliest if its correct.

Answers

Answer:

[tex]\text{(C) }\angle 2\text{ and }\angle 7[/tex]

Step-by-step explanation:

Angle 2 corresponds with angle 6 and since all corresponding angles are equal, [tex]\angle 2=\angle 6[/tex]. Angle 6 and angle 7 happen to be vertical angles (opposite side of an intersection of two lines). Since all vertical angles are also equal, [tex]\angle 6=\angle 7[/tex] and by substitution, we have: [tex]\implies \boxed{\text{(C) }\angle 2\text{ and }\angle 7}[/tex]

Angle 2 and 7 is the answer!!

Math help due soon thanks

Answers

If the line adjacent to a says 80 then 11. Angle c and g 12. Angle is 100 degrees 13. F is 80 degrees 14. 50 and 140

What is the slope of a trendline that passes through the points (1, 3) and (10, 25)
A. -15/2
B. -1/2
C. 22/9
D. 24/7

Answers

Answer:

22/9

Step-by-step explanation:

We  have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

m = (25-3)/(10-1)

    =22/9

Use abc to find the trigonometric ratios. Enter your answer as fractions

Answers

Answer:

Tan <A = 4/3

Cos <A = 3/5

Sin <A = 4/5

Step-by-step explanation:

From the diagram given

Hypotenuse AB = 10

Adjacent = 6

Opposite = 8 (side facingc<A)

According to SOH CAH TOA

Tan <A = Opposite/adjacent

Tan <A = BC/AC

Tan <A = 8/6

Tan <A = 4/3

For Cos <A;

Cos <A = adj/hyp

Cos <A = 6/10

Cos <A = 3/5

For sin<A:

Sin <A = opp/hyp

Sin <A = 8/10

Sin <A = 4/5

Answer this for me I am having probs and I am only 8yrs old don’t judge
5x5=25
5x6=30
4x6=24
6x6=36

Answers

Answer:

You are all correct! what do you need help answering?

The population of fish in a pond is given by the function P(t), where t is the number of months after June. Interpret the statements P(0) = 1,023 and P(2) = 1,612.

A. The population of fish in the pond was reduced by 589 fish and the population of fish in August was 1,612.
B. The population of fish in the pond was reduced by 589 fish and the population of fish in September was 1,612.
C. The population of fish in the pond grew by 589 fish and the population of fish in August was 1,612.
D. The population of fish in the pond grew by 589 fish and the population of fish in September was 1,612.

Answers

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the electricity goes out in a house. the temperature in the house changes by -8 fahrenheit in 4 hours. on average, by how many degrees is the temperature changing per hour?

Answers

Answer:

-2 degrees per hour

Step-by-step explanation:

Answer:

-2 degrees per hr

Step-by-step explanation:

Marking branliest!
What is the mean absolute deviation of the data in Table 3 (Number of Siblings)?

Answers

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value –

The mean absolute deviation of the number of siblings in the data given is: 1.33.

How to Find the Mean Absolute Deviation of a Data?

Find the mean, the calculate the average of the difference of each data point and the mean.

Given the data:

0, 2, 4, 1, 3, 5, 0, 1, 1, 0, 3, 2, 4, 0, 1, 3, 2, 1, 6, 2, 1, 0, 1, 3

Mean = (0 + 2 + 4 + 1 + 3 + 5 + 0 + 1 + 1 + 0 + 3 + 2 + 4 + 0 + 1 + 3 + 2 + 1 + 6 + 2 + 1 + 0 + 1 + 3)/24 = 46/24

Mean = 1.9167

Mean absolute deviation = [(0 - 1.9167) + ( 2 - 1.9167) + ( 4 - 1.9167) + ( 1 - 1.9167) + ( 3 - 1.9167) + ( 5 - 1.9167) + ( 0 - 1.9167) + ( 1 - 1.9167) + ( 1 - 1.9167) + ( 0 - 1.9167) + ( 3 - 1.9167) + ( 2 - 1.9167) + ( 4 - 1.9167) + ( 0 - 1.9167) + ( 1 - 1.9167) + ( 3 - 1.9167) + ( 2 - 1.9167) + ( 1 - 1.9167) + ( 6 - 1.9167) + ( 2 - 1.9167) + ( 1 - 1.9167) + ( 0 - 1.9167) + ( 1 - 1.9167) + ( 3 - 1.9167)]/24

Mean absolute deviation = 32/24

Mean absolute deviation = 1.33

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A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each
successive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.

Answers

The value 2.75 goes in the first box, since it's the first term.

The expression [tex]0.69*a_{n-1}[/tex] goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"

Help please !!!!thank yo

Answers

Answer:

250

Step-by-step explanation:

There is a 200 start up cost plus 50 per month

Cost = 200 + 50m  where m is the number of months

We have 1 month

Cost = 200 +50(1)

Cost = 250

Answer:

250

Hope this helps

Please helppp!! I don't know how to do this

Answers

Answer:

(-2, -4)

Step-by-step explanation:

Start at point O which has coordinates (0, 0). Go 2 units left. Go 4 units down. Now you are at point I.

Answer: (-2, -4)

What is the decay factor of the exponential function
represented by the table?

Answers

Given:

The table of values of an exponential function.

To find:

The decay factor of the exponential function.

Solution:

The general form of an exponential function is:

[tex]y=ab^x[/tex]              ...(i)

Where, a is the initial value and [tex]0<b<1[/tex] is the decay factor and [tex]b>1[/tex] is the growth factor.

The exponential function passes through the point (0,6). Substituting [tex]x=0,y=6[/tex] in (i), we get

[tex]6=ab^0[/tex]

[tex]6=a(1)[/tex]

[tex]6=a[/tex]

The exponential function passes through the point (1,2). Substituting [tex]x=1,y=2,a=6[/tex] in (i), we get

[tex]2=6(b)^1[/tex]

[tex]2=6b[/tex]

[tex]\dfrac{2}{6}=b[/tex]

[tex]\dfrac{1}{3}=b[/tex]

Here, [tex]b=\dfrac{1}{3}[/tex] lies between 0 and 1. Therefore, the decay factor of the given exponential function is [tex]\dfrac{1}{3}[/tex].

Hence, the correct option is A.

Answer:

Step-by-step explanation:

2

Please help me
I just need to find the measure of every angle

Answers

Answer: 108 use a ruler

Step-by-step explanation:

it looks like they're all vertical angles-
m<1= 113
m<4= 67
m<2= 67
m<5= 67
m<3=113
m<6=113

Seven pounds of nuts are shared equally among 5 scouts how much does each scoct get

Answers

35 ounces each I think

Karina and Kayla are playing a game using a dice. They roll the dice twice. If Kayla rolls a sum of 7, she scores a point. If Karina rolls a sum of 5, she scores a point. Is the game fair?

Answers

No, it isn’t fair. There is only one possible outcome for Kayla to earn points, by rolling a 6 and a 1.

Karina can roll a 2 and a 3, or a 1 and a 4 to earn points.

See image for question.
Please show workings.

Question Continuation :
a. a prime number ?
b. a perfect square ?
c. a perfect cube ?​

Answers

Answer:

See below

Step-by-step explanation:

We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36

a.

Prime numbers:

2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)P(prime number) = 15/36

b.

Perfect squares:

4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)P(perfect square) = (3 + 4)/36 = 7/36

c.

Perfect cube:

8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)P(perfect cube) = 5/36

help please this should be turn in 5mijs please​

Answers

the answer is c) F and H
C is the answer F and H are congruent.

(BRAINLIEST) Choose 1 from the following Unit 8 sub-topics and expound: (need 5-6 sentences just on ONE of these topics)

Pythagorean Theorem

Trigonometric Functions

Special Right Triangles

Solving Right Triangles

Applications of Right Triangles

Answers

Answer:n

Step-by-step explanation:

What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?

Answers

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

[tex] \large \boxed{m_1 = m_2}[/tex]

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

y = a —> horizontal line; slope is 0.x = a —> vertical line; slope is undefined.For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

8x+20y=-120 as slope

Answers

Answer:

y = -2/5x -6

slope is -2/5

y intercept -6

Step-by-step explanation:

8x+20y=-120

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

Subtract 8x from each side

8x -8x+20y= -8x-120

20y = -8x - 120

Divide by 20

20y/20 = -8x/20 -120/20

y = -2/5x -6

You invest $10,200 in an account that compounds continuously at an annual percent interest rate of 6.25%. How long does it take to double your money?

Answers

Answer:

11.09 years

Step-by-step explanation:

Given data

Principal P= $10200

Rate= 6.25%

Double the principal A = $20,400

The expression for the time taken is

t= ln(A/P)/r

t= ln(20400/10200)/0.0625

t= ln(2)/0.0625

t= 0.69314/0.0625

t= 11.09024 years

Hence the number of years is 11.09 years

Describe the behavior of the function h around its vertical asymptote at x=-6.

Answers

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

Please help! really stuck on this question!

Cameron sponsored a fundraiser that 582 people attended. He raised 6,480. He charged $15 for balcony seats and $10 for ground seats. How many people bought balcony seats (b) and how many bought ground seats (g)?

15b + 10g = 6,480
b + g = 582

Answers

Answer:

132 people bought balcony seats and 450 people bought ground seats.

Step-by-step explanation:

We want to solve the system of equations:

[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]

We can solve this by using substitution. From the second equation, we can subtract b from both sides:

[tex]g=582-b[/tex]

In the first equation, we can divide both sides by five:

[tex]3b+2g=1296[/tex]

Substitute:

[tex]3b+2(582-b)=1296[/tex]

Distribute:

[tex]3b+1164-2b=1296[/tex]

Simplify:

[tex]b+1164=1296[/tex]

Solve for b:

[tex]b=132[/tex]

Using the modified equation again, substitute:

[tex]g=582-(132)[/tex]

Evaluate:

[tex]g=450[/tex]

Therefore, 132 people bought balcony seats and 450 people bought ground seats.

9. What property was used to get from line 1 to line 2?
line 1: 16 + 3x + 5 + 2x
line 2:2x + 3x + 5 + 16
line 3:5x + 21

Answers

Answer: Commutative Property of Addition

This property says that A+B = B+A. The order of addition doesn't matter.

As an example, 2+3 = 3+2 since both sides evaluate to 5.

Which is the length of the building's wall brace?
A. 14.45 m
B. 17 m
C. 23 m
D. 49 m
E. 189 m

Answers

Answer:

A) 14.45 m is the answerrrerreer

Answer:

17m

Step-by-step explanation:

We can use  the Pythagorean theorem

a^2+b^2= c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 = c^2

64+ 225 = c^2

289 = c^2

Taking the square root of each side

sqrt(289) = sqrt(c^2)

17 =c

enter the digit that can replace blank​

Answers

565

Hope this helps ;)

Answer:

The digit you replace that box with is 6.

What's the value of -2/5-(-9/15)?

A.2/5+9/15=1

B. -2/5+9/15=3/15

C.-9/15-2/5=-1

D.-9/15+2/5=-1/5

Answers

9514 1404 393

Answer:

  B.  -2/5+9/15 = 3/15

Step-by-step explanation:

The only two answer choices that have -2/5 as part of the sum are B and C. Of those, choice C incorrectly represents the subtraction of -9/15.

The only reasonable choice is B.

__

The result can be reduced from 3/15 to 1/5 by removing a factor of 3 from numerator and denominator.

suppose f(x) = x^2. what is the graph of g(x) = 1/2f(x)?​

Answers

Answer:

it A just took the test

Step-by-step explanation:

djendkcg rsjzjgnrs

Answer: A

Step-by-step explanation:

Just finished test

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