Could anyone maybe explain how to do this to me or give the answer please? Thank you so much!

The level of measurement that is most appropriate for position of persons in a line is given as follows:

D.) Ordinal.

There are four levels of measurement for the data, given as follows:

The measures of central tendency for each level are given as follows:

For the position of the people in the line, we use the median, which is the midpoint of the line, hence the level of measurement is ordinal.

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The probability of getting at least one three of a kind in 20 hands of poker, using the Poisson approximation, is approximately 0.3293 or about 32.93%.

What is probability?

Probability is a branch of mathematics that deals with the study of random events or processes. It is the measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event is certain to occur.

We can use the Poisson distribution to approximate the probability of getting at least one three of a kind in 20 hands of poker, given that the probability of a three of a kind is approximately 1/50.

Let λ be the expected number of three of a kinds in 20 hands. Then λ = np, where n is the number of hands (20) and p is the probability of a three of a kind (1/50).

λ = np = 20 * (1/50) = 0.4

Using the Poisson distribution, the probability of getting k three of a kinds in 20 hands is given by:

\(P(k) = (e^{(-\lambda)} * \lambda^k) / k!\)

The probability of getting at least one three of a kind in 20 hands is:

P(at least one three of a kind) = 1 - P(0 three of a kinds)

\(= 1 - (e^(-0.4) * 0.4^0) / 0!\\\\= 1 - e^(-0.4)\)

≈ \(0.3293\)

Therefore, the probability of getting at least one three of a kind in 20 hands of poker, using the Poisson approximation, is approximately 0.3293 or about 32.93%.

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The null hypothesis for the single factor ANOVA states that all means are equally true.

The null hypothesis for a single-factor ANOVA (analysis of variance) states that all means are equal.

The alternative hypothesis, on the other hand, suggests that at least one of the means is different from the others.

The purpose of the ANOVA test is to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there are significant differences between the means. A statistical formula used to compare variances across the means (or average) of different groups.

Hence, the statement is true .

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Answer:

the difference is 1/21

Step-by-step explanation:

2/3 equals 14/21 and 5/7 equals 15/21

Integral Test:

The integral test is used to check the convergence of an infinite series. According to the integral test, a series converges if and only if the corresponding improper integral converges. If the improper integral diverges, then the series also diverges.

Use the Integral Test to determine whether the series is convergent or divergent. \(∑n=1[infinity]​(4n+4)31\)​ For Integral test, Firstly, we need to find the integral of the given series i.e.\(∫1[infinity]​(4x+4)31​dx∫(4x+4)31dx\)

\(=∫4(x+1)31dx

=4∫(x+1)31dx\) Now, to solve the integral, we can use substitution method.

Let (\(x+1)

= t → dx

= dt4∫(x+1)31dx

=4∫t31dt\) Now integrating by using the formula\(∫xn dx= xn+1/n+1+ C4∫(x+1)31\)

\(dx=4∫t31dt

=4* t32/32+C

= 4*(x+1)32/32+C

=4*(x+1)32/32∣11

=4/32+4/32\)

=1/4 We now have the value of integral which is finite, so we can conclude that the given series also converges.

Thus, the series is convergent. Evaluate the following integral \(∫1[infinity]​(4x+4)31​dx∫(4x+4)31dx

=∫4(x+1)31dxLet (4x+4)

= t → dx

= dt4∫(x+1)31dx

=4∫t31dt4∫t31dt

= 4* t32/32+C

= 4*(x+1)32/32∣11

=4/32+4/32

=1/4\)

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The probabilities that should be assigned to the outcomes 1, 2, 3, 4, 5, and 6 are -1/12, 1/3, 1/6, 1/8, 5/8, and 1/8, respectively.

Let W1, W2, W3, W4, W5 and W6 be the probabilities that each of the outcomes 1, 2, 3, 4, 5, and 6 is assigned, respectively.

A die is weighted so that odd numbers are 3 times as likely to come up as even numbers. Hence, we can express the probabilities of each of the odd outcomes as 3x and each of the even outcomes as x.

Since the die has 6 faces and is unbiased, we know that the sum of the probabilities of all possible outcomes should be equal to 1.

Thus, we have:

W1 + W2 + W3 + W4 + W5 + W6 = 1

The probability that the odd numbers will come up is equal to the sum of the probabilities of outcomes 1, 3, and 5.

Since all odd outcomes are equally likely, we can set this probability equal to 3 times the probability of any individual odd outcome.

Thus, we have:

W1 + W3 + W5 = 3(W3)

Similarly, the probability that the even numbers will come up is equal to the sum of the probabilities of outcomes 2, 4, and 6.

Since all even outcomes are equally likely, we can set this probability equal to 2 times the probability of any individual even outcome.

Thus, we have:W2 + W4 + W6 = 2(W2)Adding the two equations, we get:W1 + W2 + W3 + W4 + W5 + W6 = 3(W3) + 2(W2)

Since the sum of the probabilities of all outcomes is equal to 1, we know that:W1 + W2 + W3 + W4 + W5 + W6 = 1

Substituting this into the previous equation, we get:

1 = 3(W3) + 2(W2)Solving for W2, we get:

W2 = (1 - 3(W3))/2

Substituting this into the equation for the probability of even outcomes, we get:

W4 + W6 = W2

Thus, we have:

W4 + W6 = (1 - 3(W3))/2

Since all even outcomes are equally likely, we know that:

W4 = W6

Thus, we have:

2W4 = (1 - 3(W3))/2

Solving for W4, we get:

W4 = (1 - 3(W3))/4

Substituting this back into the equation for W2, we get:

W2 = (1 + 3(W3))/4

Now, we can use the equation for the probability of odd outcomes to solve for W3:

W1 + W3 + W5 = 3(W3)

Substituting the expressions for W2 and W4 into this equation, we get:

W1 + (1 - 3(W3))/4 + 3(W3) = 9(W3)/4 + (1 - 3(W3))/4 + 3(W3)

Simplifying, we get:W1 + (1 - 3(W3))/4 = 1

Thus, we have:W1 = (3(W3) - 1)/4

Now we can express all the probabilities in terms of W3:

W1 = (3(W3) - 1)/4W2 = (1 + 3(W3))/4W3 = W3W4 = (1 - 3(W3))/4W5 = (3 - 3(W3))/4W6 = (1 - 3(W3))/4

We know that the sum of the probabilities of all outcomes should be equal to 1, so we can use this fact to solve for W3:

W1 + W2 + W3 + W4 + W5 + W6 = (3(W3) - 1)/4 + (1 + 3(W3))/4 + W3 + (1 - 3(W3))/4 + (3 - 3(W3))/4 + (1 - 3(W3))/4= 1

Multiplying through by 4, we get:

3(W3) - 1 + 1 + 3(W3) + 4(W3) - 3 + 1 - 3(W3) + 1 - 3(W3) = 4

Simplifying, we get:

6W3 = 2W3 = 1/3

Thus, we have:

W1 = (3(W3) - 1)/4 = (1/3 - 1)/4 = -1/12W2 = (1 + 3(W3))/4 = (1 + 1)/12 = 1/3W3 = W3 = 1/6W4 = (1 - 3(W3))/4 = (1 - 1/2)/4 = 1/8W5 = (3 - 3(W3))/4 = (3 - 1/2)/4 = 5/8W6 = (1 - 3(W3))/4 = (1 - 1/2)/4 = 1/8

Therefore, the probabilities that should be assigned to the outcomes 1, 2, 3, 4, 5, and 6 are -1/12, 1/3, 1/6, 1/8, 5/8, and 1/8, respectively.

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Answer:

200 tickets

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

Answer:

Step-by-step explanation:

200 tickets were sold

[Mathematical Solutions]

1.) \(\frac{2}{7} + \frac{1}{4} = \frac{15}{28}\)

2.) \(\frac{5}{9} +\frac{3}{8} = \frac{67}{72}\)

3.) \(3\frac{5}{6} - 2\frac{7}{15} =\frac{41}{30}\) as the Exact Form, or \(1\frac{11}{30}\) as the Mixed Number Form.

Hope this helps!

The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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Answer:

793.787 or 800

Step-by-step explanation:

The compound interest generated on the investment is roughly $813.67, which is the solution to the question based on compound interest.

The initial sum of money invested or borrowed, upon which interest is based, is referred to as the principle. The principal is then periodically increased by the interest, often monthly or annually, to create a new principal sum that will accrue interest in the ensuing period.

Using the compound interest calculation, we can determine the interest earned on Sanchez's investment:

\(A = P(1 + \frac{r}{n} )^{(n*t)}\)

where A is the overall sum, P denotes the principal (the initial investment), r denotes the yearly interest rate in decimal form, n denotes the frequency of compounding interest annually, and t denotes the number of years.

In this case, P = $3,000, r = 0.06 (6%), n = 365 (compounded daily),

and t = 4.

Plugging in the values, we get:

\(A = 3000(1 + \frac{0.06}{365} )^{(365*4)}\)

A= $3813.67

The difference between the final amount and the principal is the interest earned.

Interest = A - P

Interest = $3813.67 - $3000

Interest = $813.67

As a result, the investment's interest yield is roughly $813.67.

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The midpoint between the endpoints (9, -1) and (1, 15) is equal to (5, 7).

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Substituting the given parameters into the midpoint of a line segment formula, we have the following;

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(9 + 1)/2, ((-1) + 15)/2]

Midpoint = [(10)/2, (14)/2]

Midpoint = (5, 7).

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Answer:

i think C

Step-by-step explanation:

tell me if i am wrong and hope you have a good day

Answer:

A

Step-by-step explanation:

Answer:

a) Children total 37, Teens total 64, Adults total 50, Chocolate total 70, Vanilla total 47, Strawberry total 34

b) 15

c) 15

d) 49/64

The model equation for the given situation is

$0.75x + $0.90)/(3 + x) = $0.60 where,

x ----> known number of green beads

$0.60 ---> bracelet average per bead

Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .

We have given that,

Noemi strings x green beads and 3 blue beads.

Cost of each green beads = $0.75

Cost of each blue beads = $0.30

Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x

Total blue bead cost = 3 x 0.3 = $ 0.9

Total number of beads used by Noemi = x + 3

Total cost of all beads (green+blue)

= $(0.75x + 0.9

Average of bracelets is $0.60 per bead

So average formula ,

($0.75 x + $0.9)/(x+3) = $0.60

or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9

=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.

Hence, equation of model in this situation is

($0.75 x + $0.9)/(x+3) = $0.60

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Answer:

3x + 14

Step-by-step explanation:

Just add them together.

2x + 5 + x + 9

= 3x + 14

Answer:

I assume you mean that it will not have a decimal;

434,780

Step-by-step explanation:

434780/5= 86,956

434780/10= 43,478

Answer:

Hope i helped :)

Step-by-step explanation:

8) T-V =24

24 -6 =18

2x-18 =18

2x=0

x= 0/2

x=0

9)

*LMK

*L-K=x+3

*L-M=6x-10

*M-K= 3x-3

L-M + M-K = 6x -10 + 3x -3 = 9x -13

10 and 11)

Both lines are horizontal

both lines consist of intervals due to having 2 points on one line making it a distance between 2 points.

they are also concurrent lines because more then 3 lines pass through one point

they are also intersecting lines because they cross over each other

Answer:

Given:

and

Find x:

Given:

Find x:

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

706.5ft^2

Step-by-step explanation:

A=pi*r^2

A=3.14(15^2)

A=3.14(225)

A=706.5ft^2

The value of x in the expression is x = - 14

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

- 1/2 x - 4x = -3 -6

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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Answer:

$20

Step-by-step explanation:

Answer:

I know the answer now its 25$

Step-by-step explanation:

I figured it out

Answer:

answer is 6 cm, 7cm, 12 cm

Step-by-step explanation:

the rule is that the sum of any two sides of a triangle must be greater than the 1 one side

Answer:

6 cm, 7 cm, 12 cm

Step-by-step explanation:

Answer: The father will be twice as old as the son in 24 years.

Step-by-step explanation:

12+24=36

48+24=72

72/2=36

Hope this helps!!!

Giving a rectangular prism with dimension l by w by h, the volume, V is given by

In this case,

l = 4units,

w = 7units, and h = 10 units

Therefore,

Hence, the right choice is D

Answer:

(C). 26 (A). 4 x square units

Step-by-step explanation:

Answer:

8 dollars

Step-by-step explanation:

12/3=4

4x2=8