Every day, Carmen walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i. E. , a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the probability that her total wait time over the course of 60 days is less than 5. 5 hours

Answer:

You did not give us an equation :\

The power of a test is measured by its capability of rejecting a null hypothesis that is false, so option C is the correct answer

what is power with respect to probability?

Power is defined as the probability of correctly rejecting the false null hypothesis. It is the measure of the capability of rejecting a null hypothesis that is false.

Power = P[ rejecting a null hypothesis that is false.]

So, option C is correct, the power of a test is measured by its capability of rejecting a null hypothesis that is false

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Answer:

3x-x+2=4 :)

Step-by-step explanation:

Hope this helped! :3

The probability of the sum of the two recorded numbers being less than 4 is $\frac{3}{4}$.

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.
This is because there are three possible scenarios in which the sum of the two numbers can be less than 4:

1) both numbers are 1 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$)

2) one number is 1 and the other is 2 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$).

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The probability of the sum of the two recorded numbers being less than 4 is \(\frac{3}{4}\).

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.

This is because there are three possible scenarios in which the sum of the two numbers can be less than 4.

1) both numbers are 1 (probability of \(\frac{1}{4}\) × \(\frac{1}{4} = \frac{1}{16}\))

2) one number is 1 and the other is 2 (probability of \(\frac{1}{4}\) × \(\frac{1}{4} =\) \(\frac{1}{16}\))

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Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~`

4th root of 256 is 4, and 240/4 = 60, and 360/4 = 90, so the 4 roots are

4(cos 60 + i sin 60)

4(cos 150 + i sin 150)

4(cos 240 + i sin 240)

4(cos 330 + i sin 330)

Hope this helped you. Brainliest would be nice!

Answer:

It will take both sisters 2.5 Hours to paint the same wall together

Step-by-step explanation:

The line can not be line of best fit because it's not closest to lost of the point.

A line of best fit is a straight line that minimizes the distance between it and some data. It is an output of regression analysis and can be used as a prediction tool for indicators and price movements.

Line of best fit must pass through as many as possible points on the graph. Looking at the line above is on the graph but doesn't not pass through most of the points.

The points are actually representing a value and the line must also represent the value.

Therefore the line above is not a line of best fit

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Answer:

C) It cannot be the line of best fit because it is not closest to most of the points.

Step-by-step explanation:

A scatter plot is a graphical representation of a dataset in which individual data points are plotted as dots on a two-dimensional coordinate system. It is used to visually examine the relationship between two variables and identify patterns or trends in the data.

The line of best fit is a straight line that represents the general trend or pattern in a scatter plot, and minimizes the overall distance between the line and the data points.

To determine if a line on a scatter plot is the line of best fit, you can assess its alignment with the data points. The line of best fit should pass as close as possible to the majority of the data points, minimizing the overall distance between the line and the points.

From observation of the given scatter plot, the line does show a positive association, but it cannot be the line of best fit because it is not closest to most of the points.

Note: The correct line of best fit is shown in red on the attached diagram.

Answer:

a = 8

b = 5

Step-by-step explanation:

The given statement "The last indented line of a conditional proof sequence should always be the consequent of the conditional you are trying to prove" is True because this approach confirms that the consequent logically follows the antecedent and validates the conditional statement as true.

A conditional proof is a logical reasoning method used to establish the truth of a conditional statement (if P, then Q) by assuming the antecedent (P) and demonstrating that the consequent (Q) logically follows.

In conditional proof, you start by assuming the antecedent as a temporary hypothesis. Then, using valid inference rules and previously established premises, you deduce the consequent. If you can successfully derive the consequent, this shows that if the antecedent were true, the consequent would also be true. Thus, the conditional statement is proven to be true.

In summary, the last indented line of a conditional proof sequence should indeed be the consequent of the conditional you are trying to prove. This approach confirms that the consequent logically follows the antecedent and validates the conditional statement as true.

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Answer:

The simplified answer to the given equation is 6√2

Step-by-step explanation:

First, we must simplify the radicals in the equation.

√2 = 1.414213562

∛2 = 1.25992105

Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.

√2 ÷ ∛2 = 1.122462048

Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.

6√2 = 1.22462048

So, our answer here is answer choice B.

Answer:

1. 6x

2. x^27+1

3. x^27+1

4. 7x+1936

5.  -5x

Step-by-step explanation:

hope it helps

Answer:

D, A, D,C, B

Step-by-step explanation:

Martin expects to wait longer than Selena. This can be Mathematically represented as: t > s

To determine who expects to wait longer, we need to compare the values on the number lines for Selena and Martin. Let's say Selena expects to wait for t minutes, and Martin expects to wait for s minutes. Looking at the number lines, we can see that Selena's expected wait time is closer to 10 minutes, while Martin's expected wait time is closer to 5 minutes. Therefore, we can say that Martin expects to wait longer than Selena.

Mathematically, we can represent this as:

t > s

This means that Selena's expected wait time is greater than Martin's expected wait time. Therefore, Martin expects to wait longer than Selena.

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Answer:

e)as we know in this current century many modern country is polluting air pollution that may lead to impact our health

Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.

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Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

------------

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

Answer:

nope

Step-by-step explanation:

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

\(a+ar+ ar^2+ ar^3+...\)

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

\(|r| > 1\)

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

\(r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}\)

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

\(r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}\)

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

\(|r|=|-4|\\|r|=4\)

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)

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Answer:

its C

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

you add the numbers that are in the () then you times those two numbers together and you will get the answer

This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.

The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.

In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:

Real rate of return = Nominal interest rate - Inflation rate

Real rate of return = 5% - 7%

Real rate of return = -2%

The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).

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Answer:1200

Step-by-step explanation:

4800-3600=1200 books that are left over. 3600 fiction books and 1200 nonfiction books.

Answer: 75%

Step-by-step explanation:

There are 3600 fiction books out of the 4800 total books, which is...

This equals .75. To convert this to a percentage you move the decimal down 2 places...

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer: 7

Step-by-step explanation:

7

Answer:

The marginal profit function can be found by subtracting the marginal cost from the marginal revenue. The marginal cost is given by the derivative of the cost function, and the marginal revenue is given by the derivative of the revenue function.

The derivative of the cost function is:

C'(x) = dC(x)/dx = 0.9

The derivative of the revenue function is:

C'(x) = dC(x)/dx = 0.9

The derivative of the revenue function is:

R'(x) = dR(x)/dx = 9 - 0.04x

Therefore, the marginal profit function is:

P'(x) = R'(x) - C'(x) = 9 - 0.04x - 0.9 = 8.1 - 0.04x

When procedures are mandated by third party payers, the modifier -32 (mandated services) is used. This modifier is used to indicate that a service or procedure is mandated by a third party payer, such as Medicare or Medicaid.

It is used to ensure that the service or procedure is reimbursed appropriately and to avoid denials. The use of the -32 modifier is important to accurately reflect the requirements of the payer and to avoid any potential billing or coding errors. It is important to check with the specific payer to determine if the use of this modifier is required for a particular service or procedure.

When procedures are "mandated" by third-party payers, you would use the modifier -32. This modifier indicates that a service or procedure is being performed due to specific requirements from a third-party payer. It helps to provide the necessary information for reimbursement and ensures that the claim is processed correctly by the payer. Remember to attach the modifier -32 to the appropriate procedure code on the claim form when submitting it to the third-party payer. This will help avoid any potential delays or denials in payment due to insufficient documentation.

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The value of the larger median for the two groups = 7

The value of the larger mean for the two groups = 6.93

The student's in the indoor group are more excited than those in the outdoor group

The median of a data set is the value in the middle of the data set

Median value for the outdoor group = 7

Median value of the indoor group = (5 + 4)/2 = 9/2 = 4.5

The value of the larger median for the two groups = 7

Mean for the indoor group = 6.93

The value of the larger mean for the two groups = 6.93

The difference between the moods of the two groups by comparing their center and shapes

Note that:

The indoor group has a higher mean than the outdoor group

This means that an average student's mood in the indoor group is higher than that of the student in the outdoor group.

This means that the students in the indoor group are more excited than the outdoor group

Answer:

-1/2

Step-by-step explanation:

Answer:

8:4 simplified to 4:2 simplified to 2:1

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

6