What data display would be best for the percent of a student athlete and each sport?

Answers

Answer 1

Answer:

The circle graph or pie chart

Step-by-step explanation:

The pie chart is a very efficient visualization tool capable of adequately transmitting the details of a distribution by breaking it down into groups. Each groups takes up a certain fraction of the circle based on the percentage. Depending on the tweaking, each segment of the circle may be given different colors with the percentage taken up by each segment displayed in them or many other features added. The entire circle represents the whole distribution, with each segment thus used to mean the different groups or categories.


Related Questions

i neeeeed help with this one

i neeeeed help with this one

Answers

Answer:

All the terms are alike.

Step-by-step explanation:

Answer:

its the 2nd one

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get u a better answer.

-Have a great day! :)

How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.

Answers

Answer:

There are 48 cups in 3 gallons!

Hope this helped! :)

4 If 2² = 4x₁ find x.​

Answers

Answer:

  x = 1

Step-by-step explanation:

The value of x can be found in this one-step linear equation by dividing by its coefficient.

Solution

  4 = 4x . . . . . simplify

  1 = x . . . . . . . divide by 4

true or false: f(x) is a function.

true or false: f(x) is a function.

Answers

Answer:

false

Step-by-step explanation:

f(x) is not a function. In order to be a function, every x can only be partnered up with one y.

In the diagram shown, 5 is partnered up with both 1 and also 3. If this info was written like points, the points (5,1) and (5,3) would both be on the list (and graph). This makes it not a function.

Because of the TWO arrows going from the 5 (and pointing at TWO DIFFERENT numbers), it's not a function.

Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124

Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.

Answers

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Bob has a bag full of dimes and quarters.
He has 20 coins worth $3.80. Which system of
equations could be used to determine the
number of dimes, d, and the number of
quarters, q, in Bob's bag?

Answers

Answer:

x+y=20

.10x+.25y=3.80

Step-by-step explanation:

Could you please help me on this question out really appreciate it!

Could you please help me on this question out really appreciate it!

Answers

the answer is 24

hope this helps :)

What's the area of the trapezoid?

What's the area of the trapezoid?

Answers

Answer:

Mark brainliest please if i am correct one more brainliest please

Step-by-step explanation:

A=a+b

2h=15+25

2·5=100

Answer:

51.2

Step-by-step explanation:

plz mark me as brainliest

Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet?

Group of answer choices

439.6 feet

3846.5 feet

109.9 feet

1758.4 feet

Answers

The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.

The formula to calculate the length of an arc is given by:

Length of arc = (θ/360) * 2πr

Where:

θ is the central angle of the arc (in degrees)

r is the radius of the circle

In this case, since the handler is creating a full circle, the central angle is 360 degrees.

Length of arc = (360/360) * 2π * 70

Length of arc = (1) * 2π * 70

Length of arc = 2π * 70

Length of arc = 140π

To find the approximate value in feet, we can use the approximation π ≈ 3.14159.

Length of arc ≈ 140 * 3.14159

Length of arc ≈ 439.8204 feet

Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

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a high school statistics class wants to estimate the average number of chocolate chips in a generic brand of chocolate chip cookies. they collect a random sample of cookies, count the chips in each cookie, and calculate a 95% confidence interval for the average number of chips per cookie (18.6 to 21.3). items 28, 29, 30 and 31 present four different interpretations of these results. indicate if each interpretation is valid or invalid. We are 95% certain that each cookie of this brand has approximately 18.6 to 21.3 chocolate chips. We expect 95% of the cookies to have between 18.6 and 21.3 chocolate chips. We would expect about 95% of all possible sample means from this population to be between 18.6 and 21.3 chocolate chips. We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie.

Answers

1. This is not wrong at all, but there is a problem. In this case, the target parameter is not mentioned. Average in this case is not the most valid conclusion.

2. Not FALSE as in option #1, but the same problem occurs if the statement does not express a conclusion about the parameter of interest (mean) in this case.

3. This is not the case at all, as the statement refers to possible samples and not confidence levels or parameters of interest. So it's not the best option in this case.

4. true average number of chocolate chips per cookie.

This is the best interpretation, because confidence levels are used to construct the intervals. The most complete answer in this case, as the result is related to the parameter of interest.

Confidence Interval:

A confidence interval is "a range of values ​​that is likely to encompass the values ​​of a population with some degree of confidence. Often expressed as a percentage. The error bar is the range of values ​​above and below the sample statistic in the confidence interval

Normal Distribution:

"A probability distribution that is symmetric about the mean and indicates that data close to the mean are more common than data far from the mean."

X : represents sample mean

μ: population mean (variable of interest)

s : represents sample standard deviation

n : represents sample size

2) The mean confidence interval is given by the formula:

X ± \(t_{\alpha /2} \frac{s}{\sqrt{n} }\)                    --------------------------- (1)

The 95% confidence interval obtained in this case is (18.6; 21.3)

Based on this, the statements can be analyzed individually as :

1: We are 95 years old We believe that each cookie from this brand contains approximately 18.6 to 21.3 chocolate chips.

This is not wrong at all, but there is a problem. In this case, the target parameter is not mentioned. Average in this case is not the most valid conclusion.

2: His 95% of cookies are expected to contain 18.6 to 21.3 chocolate his chips.

Not FALSE as in option #1, but the same problem occurs if the statement does not express a conclusion about the parameters of interest in this case.

3: About 95% of all possible sample means from this population are expected to be between 18.6 and 21.3 chocolate chips. This is not the case at all, as you are not referring to some parameter. So it's not the best option in this case.

4: 95% confident that the confidence interval of 18.6 to 21.3 contains the true average number of chocolate chips per cookie.

This is the best interpretation because of the confidence level used to construct the interval. The most complete answer in this case, as the result is related to the parameter of interest.

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The table shows three unique, discrete functions.
x f(x) g(x) h(x)
-1
0
3
185
15
2
3
0
-25
-10-204
2
3
2
-3
2
3
4
5
6
Which statements can be used to compare the
characteristics of the functions? Select three options.
Of(x) has the greatest maximum.
h(x) has the greatest x-intercept.
g(x) has the smallest minimum value.
All three functions share the same domain.
All three functions share the same y-intercept.

The table shows three unique, discrete functions.x f(x) g(x) h(x)-10318515230-25-10-204232-323456Which

Answers

All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

ITS THE FOURTH QUESTION

ITS THE FOURTH QUESTION

Answers

The surface areas of the figures are 336, 82 and 836

How to calculate the surface areas

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

What is surface area?

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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I want you to find the answer

I want you to find the answer

Answers

The value of length BC is 18.9

What is cosine rule?

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

How to determine BC?

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?

What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?

Answers

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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A banner in the shape of an isosceles triangle is hung over the side of a building. The banner has a base of 30ft (at the roof), a height of 20ft, and weighs 50lb. Write down an integral for the work required to lift the banner entirely onto the roof of the building.

Answers

Answer:

W = 9600000 joules

Step-by-step explanation:

From the given information:

The area of the banner = 1/2 × 30 × 20 = 300 ft²

The mass of the banner = 300 × 50 = 15000 pounds

Now; the integral for the required work is:

\(W = \int^h_o F \ ds\)

here;

h = height of the building

F = mg = 15000g

g = 32 ft/s²

Therefore;

\(W = \int ^h_o 15000g \ ds\)

\(W = \int ^{20}_0 \ 15000 (32)(20)\)

W = 9600000 joules

If all angles are 90 degrees, and the crystal has a square base with a height that is larger than one of the square sides, what type of unit cell is it

Answers

Answer:

Tetragonal unit cell.

Step-by-step explanation:

A unit cell is the smallest part of a material which is formed by a well arranged lattice points. Some common types are; face centered, body center, tetragonal, cubic etc

Tetragonal unit cell has a square top and base, with rectangular sides. The internal angles are \(90^{0}\) each, and consists of molecules, atoms, or ions (lattice points) arranged at each corners of the unit cell.

The crystal as described in the given question is a tetragonal unit cell.

Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not

Answers

Answer and explanation:

Please find explanation attached

Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested

In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf

Answers

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

What is expression?

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

What is the equation for the line in slope-intercept form?



Enter your answer in the box.

What is the equation for the line in slope-intercept form?Enter your answer in the box.

Answers

i believe it's -4 :)

Members of a lacrosse team raised $1396.75 to go to a tournament. They rented a bus for $850.50 and budgeted $28.75 per player for meals. Determine the number of players the team can bring to the tournament.

Answers

Answer:

19 players

Step-by-step explanation:

If the team raises $1396.75 and the bus costed $850.50 then the remaining budget is = 546.75

If each meal is $28.75 then you could buy 19 meals for 19 players to take to the tournament.

Answer the following questions about confidence intervals.
(a) What happens to a confidence interval as sample size​increases, assuming everything else stays the​ same?
The width of the interval​ decreases, since the standard error decreases.The center of the interval​ decreases, since the standard error increases. The center of the interval​increases, since the standard error decreases.The width of the interval​ increases, since the standard error increases.
(b) If we want to use a larger confidence level when creating a confidence interval for a population​ mean, which of the following happens to our confidence​ interval?
The interval gets​ wider, since the standard error decreases.The interval gets​ narrower, since the​ t-value required to capture a larger proportion of the sampling distribution of the sample mean gets smaller. The interval gets​ narrower, since the standard error decreases.The interval gets​ wider, since the​ t-value required to capture a larger proportion of the sampling distribution of the sample mean gets larger.
(c) What does the margin of error in a confidence interval for a population mean​ describe?
It describes the difference between the sample mean and the population mean due to calculation errors by the researchers. It describes the difference between the sample mean and the population mean. Due to the random sampling​ method, different sample means will be different. It describes the difference between the sample mean and the population​ mean, due to taking​ non-random samples involving voluntary response or convenience sampling.It describes how often researchers make a mistake due to response bias or​ non-response bias.
(d) Why do we use a z-score from a normal distribution in constructing large-sample confidence intervals for a proportion?
For large random samples the data distribution is approximately normal.For any n we use the​ t-distribution to get a confidence​interval, and for large n the​ t-distribution looks like the standard normal distribution. For large random samples the sampling distribution of the sample proportion is approximately normal.The population distribution is normal for large samples.
(e) True or false: The confidence interval for a mean with a random sample of size n​ = 2000 is invalid if the population distribution is bimodal.
TrueFalse

Answers

Answer:

the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.

Step-by-step explanation:

a.)

the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.

b.

the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.

c.

the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:

in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.

d.

regarding this question, we use a z score because:

For large random samples the sampling distribution of the sample proportion is approximately normal.

e.

the answer to this is false.

thank you!

Which of the following is a correct interpretation of the expression -4 - (-7)?

Which of the following is a correct interpretation of the expression -4 - (-7)?

Answers

Answer:

D

Step-by-step explanation:

So we have the expression:

\(-4-(-7)\)

First, simplify. Two negatives make a positive. Therefore, the -(-7) turns into +7:

\(-4-(-7)\\=-4+7\)

When adding on the number line, we move to the right.

Therefore, the correct interpretation is the value 7 digits to the right of -4.

D is the correct answer.

Answer:

D.  the number that is 7 to the right of -4 on the number line

Step-by-step explanation:

interpret -4 - (-7)

=  -4 +7

therefore

the number that is 7 to the right of -4 on the number line

so its D.

90×4/9=40 is this equation true

Answers

The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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help me this is due tomorrow and i have to go to sleep

help me this is due tomorrow and i have to go to sleep

Answers

Answer: The possible length of the third side is probably 23cm.

All I did was add 9cm and 15cm which equaled 24cm and you could give that answer or any other number below 24.

Answer:

  7 ≤ s ≤ 23; any number of centimeters between 7 and 23 cm.

Step-by-step explanation:

You want to know possible lengths of the third side of a triangle with side lengths 9 cm and 15 cm.

Triangle inequality

The triangle inequality requires the sum of the two shorter side exceed the longest side. When two sides are given, this means the length of the third side lies between their difference and their sum.

The third side s must satisfy ...

  15 -9 < s < 15 +9

  6 < s < 24

The third side can have any whole number value between 7 cm and 23 cm, inclusive. For example, it might be 7 cm or it might be 20 cm.

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The point is on the x acis and 12 units to the left of y axis

Answers

Answer:

(-12, 0)

Step-by-step explanation:

They are asking for the coordinates of the given point on the plane.

Therefore, since the point is on the x axis, we know that its y-coordinate must be zero. y = 0

Now, since it is 12 units to the left of the y axis, then its x coordinate is -12

x = -12

Therefore, the point in plane coordinates is written as: (-12, 0)

Explain how to use the sales tax rate to determine an item's total cost.

Choose the correct answer below.

A. Multiply the purchase price by the tax rate. Then add the result to the purchase price.

B. Multiply the purchase price by the tax rate.

C. Divide the purchase price by the tax rate.

D. Multiply the purchase price by the tax rate. Then subtract the result from the purchase price.

Answers

Answer:

  A. Multiply the purchase price by the tax rate. Then add the result to the purchase price.

Step-by-step explanation:

The amount of tax is found by multiplying the taxed amount by the tax rate. The customer generally pays the sales tax, so the amount the customer will pay will be the sum of the purchase price and the tax.

Anyone knows how to do this? please help.​

Anyone knows how to do this? please help.

Answers

Answer:

reflecting over y just simply means counting the space between the shape and their points to the line and using that same number on the other side for example for the point -4,-4 is 2 spaces from the line then count 2 on the other side

Calcular los 3/5 de los 2/3 de las 3/4 de 560

Answers

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

How to solve fractions?

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 JQK
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10
Based on the table, what is the experimental probability that the card selected was a K or 6?

Answers

The experimental probability that the card selected was a K or 6 is 17/100 or 0.17.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In other words, it is the ratio of the number of desired outcomes to the total number of outcomes.

The frequency of card 6 is 7 and the frequency of card K is 12. However, the card K is also counted in the total count for JQK, so we need to subtract 2 from the frequency of K to get the actual count of K.

Actual count of K = 12 - 2 = 10

Total count of 6 and K = 7 + 10 = 17

The experimental probability of drawing a K or 6 is the frequency of drawing K or 6 divided by the total number of draws:

Experimental probability = (frequency of K or 6) / (total number of draws)

Experimental probability = 17 / 100

Therefore, the experimental probability that the card selected was a K or 6 is 17/100 or 0.17.

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A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:

Answers

Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2

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