A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown.

What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red?

Answers

Answer 1

Answer:

\(\frac{5}{143}\) chance

Step-by-step explanation:

Chance of getting yellow first time: \(\frac{2}{13}\)

Chance of getting green without replacement from yellow: \(\frac{5}{12}\)

Chance of getting red without any replacement: \(\frac{6}{11}\)

\(\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}\)


Related Questions

there are two cookies on a tray plus four rows of cookies with three cookies in each row. How many cookies are there? What is the correct expression for finding how many cookies there are in all A) 2+4*3=18 B) 2+4*3=14 C) (2+4)*3=24 D) (2+4)*3=18

Answers

Answer:

2+4x3= 14 cookies so its B

Step-by-step explanation:

Hector is flying a kite. He has let out 86 feet of string and is holding it 4 feet off the ground. If the string is at an angle of elevation of 42°15'30", how high is the kite?

Answers

Answer:

h = 61.83 feet

Step-by-step explanation:

length of string from Hector to kite = c = 86 feet.

and 4 feet off the ground.

angle A = 42° 15' 30"

req'd:  how high is the kite?

angle A = 42° + 15' (1° / 60') + 30"(1° / 3600'')

angle A = 42.26

to get the side a (height of kite) 4 feet above ground: use Sin(A) = opp / hyp

Sin(A) = a / c

Sin(42.26) = a / 86

a = Sin(42.26) * 86

a = 57.83 feet

therefore, the height of the kite from the ground = h = 57.83 + 4

h = 61.83 feet

Hector is flying a kite. He has let out 86 feet of string and is holding it 4 feet off the ground. If

Question 1
50 pts
If the area of a rectangle is given by the expression 10x2 + x-3 and the width is
(2x- 1) which of the following could represent the length?
(5x - 3)
O (5x + 3)
O (10x - 3)
(5x + 4)

Answers

I think it may be (10×-3)

Given that f(x) = x2 – 5x – 14 and g(x) = x – 7, find (f +g)(x) and
express the result in standard form.

Answers

Answer:

\((f+g)(x)=x^2-4x-21\)

Step-by-step explanation:

We are given:

\(f(x)=x^2-5x-14\text{ and } g(x)=x-7\)

And we want to find:

\((f+g)(x)\)

This is equivalent to:

\(=f(x)+g(x)\)

Therefore, by substitution:

\(=(x^2-5x-14)+(x-7)\)

Rearranging gives:

\(=(x^2)+(-5x+x)+(-14-7)\)

Combine like terms:

\(=x^2-4x-21\)

13. For a given set of data, what does the standard deviation measure?
The difference between the mean and the data point farthest from the mean
The difference between the mean and the data point nearest to the mean
The difference between the mean and the median
None of the above
Source​

Answers

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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−3x+8<15. What is x?

Answers

Answer:LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL

Step-by-step explanation:

What is the remainder when x 3 1 is divided by x 3 x 1?

Answers

The remainder when x³ - 1 is divided by (x + 3) is  -28

How to determine the remainder of the polynomial division?

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3

Answers

Answer:

B

Step-by-step explanation:

We are given the two functions:

\(f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9\)

And we want to find:

\(f(x) + g(x)\)

Substitute:

\(= (8 - 4x - x^3) + (x^2 + 7x - 9)\)

Rewrite:

\(= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)\)

Combine like terms:

\(= -x^3 + x^2 +3x -1\)

In conclusion:

\(f(x) + g(x) = -x^3 + x^2 +3x -1\)

Hence, our answer is B.

the los angeles lakers and the miami heat are competing in the nba finals. in the nba finals, the first team to win 4 games wins the championship. games are played until a team wins 4 games, no matter how many other wins the other team has, and to a maximum of 7 games if necessary. every game has a winning team (i.e. ties are not allowed). two series are considered different if there is a difference between the winners of at least one of the individual games. for example: lllhl and hllll are considered different series, despite the lakers winning in 4 games in both series. how many possible different series are there?

Answers

lllhl and hllll are considered different series, despite the lakers winning in 4 games in both series.The total number of possible different series is 70.

What's the definition of a series?

A collection of similar items or occasions occurring in close proximity to one another over time or space. a series of concerts. The corridor led to a string of compact rooms. a group of often broadcast television shows, each of which stands alone as a complete program. the shown sum of a typically endless series of...

What are the 4 types of series?

Sequence and series types

arithmetic progressions

Sequences in geometry.

Harmonic patterns.

a fibonacci sequence.

We have to clculate nuber of series in which lakers win:

if lakers win the champion ship they must win the last game played

if there are n games played, the lakers must win the nth game and 3 games before the nth game.

since the outcome of the nth game is fixed

lakers can win 3 games out of the first n-1 in (n-1C3) ways .

if n games are played lakers can win the championship in  (n-1C3) ways  

n can vary from 4 to 7

no of series in which lakers can win =(3C3)+(4C3)+(5C3)+(6C3)=35

The total number of possible different series =2x25= 70.

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My bro’s got me I’m giving brainliest

My bros got me Im giving brainliest

Answers

Answer:

yo number 1

Step-by-step explanation:

Answer:

i dont see the picture

Step-by-step explanation:

a census reports that the mean retirement age is 68.3 years. in a random sample, the mean retirement age is 65.8 years. what is the mean of 68.3 years?

Answers

The mean retirement age in the census report is 68.3 years.

The given information states that the population mean retirement age is 68.3 years, and a random sample of retirement age has a sample mean of 65.8 years. We can use this information to estimate the population mean with a certain level of confidence.

However, the question asks us to find the mean of 68.3 years, which is simply the given population mean. Therefore, we can state that the mean of 68.3 years remains the same, as it is not affected by the sample mean or any other sample statistic.

In other words, the population mean of 68.3 years is a fixed value, and it does not change based on the sample mean or any other sample statistic. Therefore, we can simply state that the mean retirement age is 68.3 years, which is the given information provided in the question.

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Is -5/3 rational or irratuonal

Answers

It is rational because if you covert it into a decimal the number repeats.

Consider the statement
"An angle with a measure of 88° is an acute angle."
Classify and determine whether each conditional form of this statement is true or false,
• If an angle is an acute angle, then its measure is 88°
Geometry

Answers

Answer:

The conditional form of this statement is false.

Step-by-step explanation:

Angles that are less than 90°, also known as right angle, are known as acute angles.

So, any angle that has a measure between 0° and 90° are known as acute angles.

The statement provided is:

"An angle with a measure of 88° is an acute angle."

The conditional form of this statement provided is:

"If an angle is an acute angle, then its measure is 88°."

This statement is false.

This is because an acute angle can measure between 0° and 90°.

It is not necessary that the measure of an acute angle is 88°.

Thus, the conditional form of this statement is false.

Answer:

this angle would be acute

Step-by-step explanation:

why? because its less than 90 in which means it acute.

pleaseee help :15x+32=200

Answers

Answer:

11.2

Step-by-step explanation:

15x + 32 = 200       Subtract 32 from both sides

15x + 32 - 32 = 200 - 32

15x = 168  Divide both sides by 15

\(\frac{15x}{15}\) = \(\frac{168}{15}\)

x = 11.2

Answer:

i think the answer is x= 11.2

Step-by-step explanation:

15x= 200-32

15x=168

x=168/15

x=11.2

Jillian has $50 saved
in the bank. She is doing
chores each week and
earns $12. Write an
equation that when
solved shows how long it
will take her to have
$110 In her bank
account.

Answers

The equation would be 12x+50=110

Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.

Answers

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Question 9 of 10
Given the lease terms below, find the total lease cost, assuming that the
deposit is nonrefundable.
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $479
• Security deposit: $350
• Acquisition fee: $700
O A. $10,794
OB. $11,100
O c. $14,046
O D. $14,678

Answers

The total lease cost assuming that the deposit is nonrefundable is $14046.

What is Meant by Lease Cost?

The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.

Given:

Length of lease: 24 months

MSRP of the car: $21,400

Purchase value of the car after lease: $17,100

So, Monthly payment= $479

So, Monthly payment after 24 month

= 11496

Thus, total lease cost =  Down payment + Security deposit + Acquisition

                                                                                                             fee

                                                               + payment for 24 months

Total lease cost = 1500+ 350+ 700+ 11496

                           = $14046

Hence, the lease cost is $14046.

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a bull weighs 1,700 pounds. Is it more appropriate to express the bull's weight as 1,700 pounds or 2.72 x 10 to the 4th power onces? explain your reasoning

Answers

It is better to express the bull's weight as 1,700 pounds.

How to calculate the value?

It should be noted that from the information given, the bull weighs 1,700 pounds.

It should be noted scientific notation isn't required in all situation.

In this case, it's better to express the bull's weight as 1,700 pounds. This aligns better with the weight.

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cars a and b leave town at the same time. car a heads due south at rate of 80 km/hr and car b heads due west at a rate of 60 km/hr. how far is the distance between the cars increasing after three hours?

Answers

The distance between the two cars  after three hours is 300 km

Cars a and b leave town at the same time.

The speed of the car that went to south = 80 km/hour

The total distance traveled in three hours = 80 × 3

= 240 km

The speed of the car that went to the west = 60 km/hour

The  total distance traveled in three hours = 60 × 3

= 180 km

The distance between the two car is the hypotenuse of the right triangle

The distance between the two cars after three hours = \(\sqrt{240^2+180^2}\)

= \(\sqrt{57600+32400}\)

= \(\sqrt{90000}\)

= 300 km

Hence, the distance between the two cars  after three hours is 300 km

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Name the property of

Answers

Answer: of whattt???

Step-by-step explanation:

PLS ANSWER FOR BRANINETEST

PLS ANSWER FOR BRANINETEST

Answers

Answer:

3(3/7)

Step-by-step explanation:

Just by doing the math.

7x - 7; x = 4................

Answers

Answer:

21

Step-by-step explanation:

7x - 7

=> substituting x = 4

=> 7(4) - 7

=> 28 - 7

=> 21

what is an equation of the line that passes through the points (-8,-7) and (2,8)

Answers

Answer:

y - 5 = 1.5x

Step-by-step explanation:

First to find the equation we have to find the slope:

15/10 = 1.5 is the slope ( 56.3 degrees )

Then find the correct equation:

y - 5 = 1.5x

There can be others like:

y = 1.5x + 5 etc.

What scale factor is shown by this graph?
4
1/2
2
1

What scale factor is shown by this graph?41/221

Answers

Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

Simplify the expression 2k+10k-(2k+3)+13

Answers

12k - 2k +16 you add the 2 and 10 on the first half and the 3 and 13 on the other half

Find the volume and surface area of a square pyramid. Volume of a pyramid: v = 1/3(area of base) x (height) surface area of a pyramid: a = 1/2(perimeter of base) x (slant height) + (area of base) a pyramid has a height of 4. 7 in. And a slant height of 5. 2 in. Its base is a square with sides of 3. 5 in. Find the pyramid's volume and surface area. Volume (to the nearest tenth) = in3 surface area (to the nearest tenth) = in2.

Answers

The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

What is meant by volume?

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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I don't know what to do

I don't know what to do

Answers

Answer:

Step-by-step explanation:

I don't know what to do

Answer:

a. 1.59cm

b. 1.99cm²

mark me as brainliest

What’s your philosophy in life?

Answers

Answer:

The philosophy of life would include things like how you decide what is “good” and “bad”, what “success” means, what your “purpose” in life is (including if you don't think there is a purpose), whether there is a God, how we should treat each other, etc

Step-by-step explanation:

In a recent tennis​ tournament, women playing singles matches used challenges on 135 calls made by the line judges. Among those​ challenges, 36 were found to be successful with the call overturned.
a. Construct a 95​% confidence interval for the percentage of successful challenges.
b. Compare the results from part​ (a) to this 95​% confidence interval for the percentage of successful challenges made by the men playing singles​ matches: 23.6​%

Answers

a) The 95% confidence interval is 18.95% to 34.49%. b) The confidence interval for women (18.95% to 34.49%) does not include the value of 23.6%.

To construct a 95% confidence interval for the percentage of successful challenges made by women playing singles matches, we can use the formula for the confidence interval for a proportion. The formula is:

Confidence Interval = p ± Z * \(\sqrt{p(1-p)/n}\)

Where:

p is the sample proportion (successful challenges / total challenges)

Z is the z-score corresponding to the desired confidence level

n is the sample size

a. Let's calculate the confidence interval for the percentage of successful challenges made by women:

Sample size (n) = 135

Number of successful challenges (x) = 36

Sample proportion (p) = x/n

p = 36/135 ≈ 0.2667

To find the z-score corresponding to a 95% confidence level, we need to calculate the critical value. Since the sample size is large enough (n > 30), we can approximate the critical value using the standard normal distribution.

The z-score corresponding to a 95% confidence level (two-tailed test) is approximately 1.96.

Confidence Interval = 0.2667 ± 1.96 * \(\sqrt{0.2667(1-0.2667)/135}\)

Calculating the confidence interval:

Confidence Interval = 0.2667 ± 1.96 * \(\sqrt{0.2667*0.7333/135}\)

= 0.2667 ± 1.96 * \(\sqrt{0.19511/135}\)

= 0.2667 ± 1.96 * 0.03943

≈ 0.2667 ± 0.07723

The lower bound of the confidence interval is:

0.2667 - 0.07723 ≈ 0.1895

The upper bound of the confidence interval is:

0.2667 + 0.07723 ≈ 0.3449

Therefore, the 95% confidence interval for the percentage of successful challenges made by women is approximately 18.95% to 34.49%.

b. To compare the results with the 95% confidence interval for the percentage of successful challenges made by men (23.6%), we can observe that the confidence interval for women does not overlap with the value for men.

The confidence interval for women (18.95% to 34.49%) does not include the value of 23.6%. This suggests that there may be a significant difference in the percentage of successful challenges made by women compared to men.

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Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d.

Answers

The probabilities for the hypergeometric distribution with the given parameters are:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:

P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)

where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)

Let's calculate the probabilities:

a. P(X = 1):

P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)

        = (20 * 80) / 3921225

        ≈ 0.000407

b. P(X = 6):

P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)

        = (38760 * 0) / 3921225

        = 0

c. P(X = 4):

P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)

        = (4845 * 80) / 3921225

        ≈ 0.098117

d. P(X = 0):

P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)

        = (1 * 77) / 3921225

        ≈ 1.97e-05

Therefore:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

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The complete question is:

Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).

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Two numbers have the same digit in the millions. The same digits in a thousand. In the in the same digit in the ones. Do these two numbers have the same value Which is the prefixmeaning "self"?A. Auto thisB. BiosC. Troph What is the cardiac rhythm? a. Atrial fibrillation b. Idioventricular c. Paced rhythm d. Junctional rhythm Using complete sentences in Spanish, write a short description of your afternoon routine. Use the vocabulary from this lesson and the following instructions as a guide. You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , *Note: The sample sentences in parentheses are just a guide to help you form your sentences. You must come up with your own original answers, keeping academic integrity intact. In one sentence, state what you do first in your afternoon routine. Remember to use a reflexive verb. (e.g., After dinner, I shower myself.) In one sentence, state what you do second in your afternoon routine. Remember to use a "yo-go" verb. (e.g., I do homework.) Roberto said, "I'm thinking of a fraction that is equivalent to 3/9. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and denominator in the bottom blank space. NEED A MEMOIR OF 500-750 WORDS. MUST BE ABOUT A PERSONAL EXPERIENCE THAT IS IMPORTANT OF THE REASONS YOU ACTED, THE ACTIONS YOU CHOSE, or the consequences of your actions or choices What angle is this? Please help The original rectangle is 120 centimeters. Calculate the length of a rectangle that is 72% shorter. What is the answer Compare and contrast the similarities and differences between World War I and World War IWorld War II (causes, number of countries participating in the war, consequences left behind). TellWhat is your opinion on these wars? List and explain security methods that can be used to prevent major security issues The 1874 Samuel Lockett geological survey identified Louisianas 5 major natural regions: Mississippi Floodplain, ____________, Terraces, Marshes, and Hills. Calculate the pH of a 3.0 X 10-4 M HCl (aq) solution?Group of answer choices+ 4.00+10.48-10.48-3,52+3.52 Which of the following conditions do not constitute a late-mover advantage (or first-mover disadvantage)? When buyers are skeptical about the benefits of a new technology or product being pioneered by a first-mover, thus allowing late-movers to wait until the needs of buyers and the attributes they prefer are clarified When a late-mover's brand image/reputation is stronger than the first mover's brand image/reputation When pioneering leadership is more costly than imitating followership When the products of an innovating first-mover are somewhat primitive and do not live up to buyer expectations, thus allowing a clever follower with better performing products to win disenchanted buyers away from the leader When rapid market evolution (due to fast-paced changes in either technology or buyer preferences) gives fast-followers and maybe even cautious late-movers the opening to leapfrog a first-mover's products with more attractive next-version products Choose all the angles which are adjacent to < 3Select all that apply Describe some inconveniences which are encountered when using oil baths... strengthen this weak statement: "fossil fuel use releases carbon dioxide, which causes the greenhouse effect." Identify 3 concepts that are used as deterrents to crime If a bee colony with 50,000 bees loses 30 percent of its bees during one winter, how many bees will survive that winter? Artificial ventilations for a 5-year-old child should be provided at a rate of_______per minute.A) 28B) 32C) 24D) 20 Assuming that there is an oversubscription the funds that have been oversubscribed? for shares in a company, how can the directors of the company deal with LO 13.4..