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?

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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Answer:

2+4x3= 14 cookies so its B

Step-by-step explanation:

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

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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I think it may be (10×-3)

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.

The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

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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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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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

Answer:

3(3/7)

Step-by-step explanation:

Just by doing the math.

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.

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

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).

Answer:

Step-by-step explanation:

Answer:

a. 1.59cm

b. 1.99cm²

mark me as brainliest

Answer:LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL

Step-by-step explanation:

Answer:

yo number 1

Step-by-step explanation:

Answer:

i dont see the picture

Step-by-step explanation:

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

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.

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.

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...

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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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:

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

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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Answer:

21

Step-by-step explanation:

7x - 7

=> substituting x = 4

=> 7(4) - 7

=> 28 - 7

=> 21

Answer:

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

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

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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Answer: of whattt???

Step-by-step explanation:

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

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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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:

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

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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