Two marbles are chosen at random, one at a time from a box that contains 7 marbles, 5 red and 2 green, a. Find the probability of drawing 2 red marbles when

Answers

Answer 1

The probability of randomly drawing 2 red marbles is P = 0.476

How to find the probability?

On the box we have 7 marbles, 5 red ones and 2 green ones. If we assume all the marbles have the same probability of being randomly drawn, then the probability of drawing a red marble is equal to the quotient between the number of red marbles and the total number of marbles.

So the probability for the first red marble is:

p = 5/7

For the second one, we will have one red marble less and one marble of the total less, so the probability is:

q = 4/6

The joint probability is the product of these two:

P = (5/7)*(4/6) = 0.476

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Related Questions

Please Help!!
Find x!

Answers

x = 42

x+2x+54=180
3x = 126
x= 42

0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question

Answers

the answer is 8 hours (accurate to two decimal places).

2b+8-5b+3=13+8b-5
Answer with steps please!

Answers

Answer:

$b=3/11$

Step-by-step explanation:

$-3b+11=8b+8 \\ \\ 11b+8=11 \\ \\ 11b=3 \\ \\ b=3/11$

y=-3x2 + 18x + 10?
What is the axis of symmetry

Answers

Answer:

x = 3

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/[2a]. Here, a = -3 and b = 18.

-18

Thus, the axis of symmetry is x = - ------------ = 3, or x = 3

2[-3]

Chứng minh hệ thức De Morgan sau:
~(P ^ Q) = ~P v ~Q

Answers

Use a truth table:

p … q … p ∧ q … ¬(p ∧ q) … ¬p … ¬q … ¬p ∨ ¬q

T … T … T … F … F … F … F

T … F … F … T … F … T … T

F … T … F … T … T … F … T

F … F … F … T … T … T … T

An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%

Answers

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Confusing
Kerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?

Options:
A: 0
B :5
C: 10
D: 25

Answers

The calculated output value for an input value of 5 is (c) 10

What is the output value for an input value of 5?

From the question, we have the following parameters that can be used in our computation:

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

Answers

it would take 3 and a half hours

What number is divisible by 416

Answers

Answer:

Itself and any number that results from multiplicating a whole number by this number.

Examples:

2 * 416= 832, this number is divisible by 416, the result is 2.

3 * 416= 1248, this number is divisible by 416, the result is 3.

Select all the expressions that are irrational.
A. −3–√+2
B. 2–√.3–√
C. 27−−√.3–√
D. 57–√+2−57–√
E. 6–√+32–√

Answers

Answer:

A. −3–√+2

B. 2–√.3–√

C. 27−−√.3–√

D. 57–√+2−57–√

E. 6–√+32–√

All the expressions are irrational because they all contain the square root of a number that cannot be represented as a ratio of two integers. The square root of a number is considered irrational if it cannot be simplified to a fraction of two integers.

Step-by-step explanation:

The Molokai Nut Company (MNC) makes four different products from macadamia nuts grown in the Hawaiian Islands: chocolate-coated whole nuts (Whole), chocolate-coated nut clusters (Cluster), chocolate-coated nut crunch bars (Crunch), and plain roasted nuts (Roasted). The company is barely able to keep up with the increasing demand for these products. However, increasing raw material prices and foreign competition are forcing MNC to watch its margins to ensure it is operating in the most efficient manner possible. To meet marketing demands for the coming week, MNC needs to produce at least 1,000 pounds of the Whole product, between 400 and 500 pounds of the Cluster product, no more than 150 pounds of the Crunch product, and no more than 200 pounds of the Roasted product. Each pound of the Whole, Cluster, Crunch, and Roasted product contains, respectively, 60%, 40%, 20%, and 100% macadamia nuts with the remaining weight made up of chocolate coating. The company has 1,100 pounds of nuts and 800 pounds of chocolate available for use in the next week. The various products are made using four different machines that hull the nuts, roast the nuts, coat the nuts in chocolate (if needed), and package the products. The following table summarizes the time required by each product on each machine. Each machine has 60 hours of time available in the coming week.

Machine Minutes Required per Pound
Whole Cluster Crunch Roasted
Hulling 1 1 1 1
Roasting 2 1.5 1 1.75
Coating 1 0.7 0.2 0
Packaging 2.5 1.6 1.25 1

The selling price and variable cost associated with each pound of product is summarized in the following table:

Per Pound Revenue and Costs
Whole Cluster Crunch Roasted
Selling Price $5.00 $4.00 $3.20 $4.50
Variable Cost $3.15 $2.60 $2.16 $3.10

Required:
a. Formulate an LP model for this problem.
b. Create a spreadsheet model for this problem, and solve it using Solver.
c. What is the optimal solution?

Answers

Answer:

Profit = Selling price - Variable cost

Formulas:

F2 =SUMPRODUCT(B2:E2,$B$16:$E$16) copy to F2:F12, F14

Optimal solution: The company should produce the following quantities (in pounds) of the four varieties of nuts.

Whole = 1000

Cluster = 500

Crunch = 80

Roasted = 200

Total profit = $ 2913.20

Step-by-step explanation:

The Molokai Nut Company (MNC) makes four different products from macadamia nuts grown in the Hawaiian

(Brainliest will be given as soon as possible!) Pierre wants to know how many people he can count on to vote for him as the school newspaper editor. He takes a poll of 34 random students and finds that 5 said they would vote for him.

If there are 272 students who will vote at the school, what would be Pierre’s best prediction for how many votes he can expect to receive?

Answers

The best prediction for the number votes Pierre should expect to receive is 40 votes

Calculating the number of vote

From the question, we are determine the best prediction for the number of votes Pierre should expect to receive

From the given information,

He takes a poll of 34 random students and finds that 5 said they would vote for him

Then, we can assume that,

Out of every 34 random students, 5 would vote for him

The total number of students that will vote = 272

There are eight 34s in 272

NOTE: 272 ÷ 34 = 8

Then, he should expect 8 × 5 votes

8 × 5 votes = 40 votes

Hence, the best prediction for the number votes Pierre should expect to receive is 40 votes

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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

m = -4/5

b = 7

Negative Slope

Not Proportional

Step-by-step explanation:

please Translate the triangle.
Then enter the new coordinates.
A (-2,4)
(-3,2)
< 9.3 >
A'([?], [])
B'([ ].[])
C'([] [])

Answers

Answer:

A' (7,7)

B' (10,4)

C' (6,5)

Step-by-step explanation:

Add 9 to every x value and 3 to every y value.

Answer:

A'(7,7)

B'(10,4)

C'(6,5)

Step-by-step explanation:

⭐What is a translation?

a translation is a type of transformation you can do to a figure to shift the figure up/down and left/right.

⭐What is the translation notation?

$T_ < x,y > (ABC) = (A'B'C')$$T_ < x,y >$ tells you how much to move the figure left/right and up/down. x = left/righty = up/down

The problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.

To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.

A(-2,4):

Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieA'(-2+9, 4+3) = A'(7,7)

B(1,1):

Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieB'(1+9, 1+3) = A'(10,4)

C(-3,2):

Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieC'(-3+9, 2+3) = A'(6,5)

⭐if this response helped you, please mark it the "brainliest"!⭐

Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?

Answers

Answer:

Step-by-step explanation:

c because trust me i did it before im in 10th grade now

The amount of mites that survive a new cancer treatment can be modeled by Y = 25(0.5)x Determine which number represents the decayed rate

Answers

Answer:

Step-by-step explanation:

it is 0.5 since

y=25(0.5)x

since x is a variable that change usually describes the independent variable, and 25 is the sample that starts with, so 0.50 is the number that represent the decayed rates.

Is the sequence geometric? If so, identify the common ratio. 1/4,3/16,9/64,27/256,81/1024,…

Answers

Answer:

Geometric

common ratio is 3/4

what is the Expected value of the probability distribution also called?

Answers

Answer:

The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.

How do i solve this math question ? Photo attach Thank you

Answers

Given:

There are 7 full, 7 half full, 7 empty tins of paint.

There are 3 people.

To find the amount of paint in each person and the number of tins if they are given the same amount of paint and the same number of tins:

The diagram is,

So, each per will receive 3 and a half amounts of paint and 7 tins.

Thus, the answer is,

Amount of paint is,

$3.5\text{ tins of paint.}$

The number of tins is 7.

Find the value of x. Write your answer as a decimal.
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Q: Solution

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Answer:

Step-by-step explanation:

1.75?

Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1

Answers

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Write 12 as a product of primes. Use index notation when giving your answer

Answers

$12 = 2 \times 2 \times 3$

$12 = {2}^{2} \times 3$

- BRAINLIEST answerer

While reviewing the previous day’s arrest report, a police sergeant notices that five suspects were arrested, all of whom had either one or two previous arrests. Including yesterday’s arrests, there were 12 total arrests among them. How many suspects had less than two prior arrests?

Answers

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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In a survey of 200 professors at Gotham University, professors were asked, “Regarding your weight, do you think you are: About right? Overweight? Underweight?” The following contingency table displays the results of the survey. Perception of Weight Gender About Right Overweight Underweight Total Female 80 39 3 122 Male 52 10 16 88 Total 132 49 19 200 One professor will be selected at random from the 200 professors involved in the survey. What is the probability that this professor is female and feels "About Right"? Question 5 options: 1.27 0.61 0.92 0.40 0.66

Answers

The probability that a randomly selected professor is female and feels "About Right" is 0.40

The distribution table :

____About right _ Oweight _ Uweight __ Total

Female _ 80 _____ 39 ______ 3 _______ 122

Male ___ 52 _____ 10 ______ 16 _______ 88

Total ___ 132 ____ 49 ______ 19 _______ 200

Oweight = Overweight

Uweight = Underweight

Recall :

Probability = required outcome / Total possible outcomes

Probability that a selected professor is female and feels 'About right' :

Required outcome = number of female professors who feels 'About right' = 80

Total number of professors = 200

Hence,

P(Female and 'About right') = 80/200 = 0.40

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Area and perimeter have a hard time on this question

Answers

Given the figure of a parallelogram:

As shown:

The height = 50

The corresponding base to the height = 53

Area = base x height = 53 x 50 = 2,650

Can I have some help here

Answers

Answer:

the answer of that question is Letter C

Statistical data of breakdowns of computer XXX show that the duration for trouble-free operation of the machine can be described as a gamma distribution with a mean of 40 days and a standard deviation of 10 days. The computer is occasionally taken out for maintenance in order to insure operational condition at any time with a 95% probability.
1. How often should the computer be scheduled for maintenance? Should it be shorter or longer than the mean of 40 days?
2. Three XXX computers were acquired at the same time by an engineering consulting firm. The computers are operating under the same environment, workload, and regular maintenance schedule. The breakdown times between the computers, however, may be assumed to be statistically independent. What is the probability that at least one of the three machines will break down within the first scheduled maintenance time?

Answers

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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An adult movie ticket costs $10 and a student movie ticket costs $6. A popcorn combo costs $8. Find the cost difference between 6 adult
tickets and 6 popcorn combos and 6 student tickets and 6 popcorn combos

Answers

Answer: $24

Step-by-step explanation:

Since the popcorn combos are the same amount, we are essentially calculating the difference between 6 adult tickets and 6 student tickets.

6 adult tickets are $10*6 = $60, while 6 student tickets are $6*6 = $36.

60-36= $24

A real estate agent sold a house for $347,483 one week and another house for
$982,100 the next week. Estimate the combined price of the houses the agent
sold by rounding to the nearest ten thousand first and then adding the rounded
numbers.

Answers

357,483+982,100 = 1,329,583 rounded up to the nearest ten thousand the answer would be 1,340,000 i think

Miguel bought a scarf. He paid $9.92 and received $0.01 in change. How much did the scarf cost?

Answers

Answer:

The scarf cost:

$9.91

Step-by-step explanation:

9.92 - 0.01 = 9.91

Other Questions

Effective implementation of a marketing plan:a. Matters least in markets that are mature and highly competitiveb. Usually does not make the difference between winning or losing a customerc. Can involve decisions related to both internal (invisible to the consumer) or external (visible to the consumer) mattersd. Is unrelated to the overall objectives of the marketing strategye. None of the above Find the midpoint of the line segment with the given endpoints.(-10,-4), (6,-5) Freemore Company has the following sales budget for the last six months of 2018: July $206,000 October $181,000 August 168,000 November 203,000 September 209,000 December 185,000 Sales are immediately due, however the cash collection of sales, historically, has been as follows: 55% of sales collected in the month of sale, 35% of sales collected in the month following the sale, 7% of sales collected in the second month following the sale, and 3% of sales are uncollectible. 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Name_bran d Sillir Section EXERCISE 18 PROBLEMS-PART IIIINTERNET this exercise, you will use a meteogram to study the weather changes brought by the passing of a midlatitude cyclone. This exercise will work best about 12 hours after a midlatitude cyclone on front passes through your area. If no storms are currently in your area, your instructor may have you choose another city that has experienced a passing storm within the last day or use the sample meteogram for Dallas-Fort Worth, Texas, shown in Figure 18-5. Go to the Hess Physical Geography Laboratory Manual, 12th edition, website at www .Mastering Geography.com, then select Exercise 18. Then select "Go to University of Wyoming, Information for United States Cities" for the Department of Atmospheric Sci- ence Web page, http://weather.uwyo.edu/cities. Your instructor may recommend a dil- ferent Internet site that provides meteograms.) Select your region of the United States to see a map showing cities in the area. Under "Observations" select "Meteogram." Click on the closest city to your location for the current meteogram in that city, After viewing the meteogram, answer the following questions. Your instructor may ask that you attach a copy of the meteogram to your answers. 1. 2. Which city did you study? What was the date and time of the meteogram studied? (Be sure to also indicate the local day and time of the meteogram.) 3. (a) (b) Describe the changes in pressure over the 25-hour period. What might explain these pressure changes? 4. (a) (b) Describe the changes in temperature over the 25-hour period. What might explain these temperature changes? 5. (a) (b) Describe the changes in wind direction over the 25-hour period. What might explain these wind direction changes? 6. Did any precipitation take place during the 25-hour period? If so, how much and w 7. (a) Based on the information in the meteogram, what time did the front(s) and/or storm pass through your city? How can you tell? 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Expand on vocabulary you do know.