The power of a statistical test of hypotheses is
the smallest significance level at which the data will allow you to reject the null hypothesis.
equal to 1 - (P-value).
the probability that the test will reject both one-sided and two-sided hypotheses.
the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true.

Answer:

a

Step-by-step explanation:

Apply the compound interest formula:

A= P (1+r/n)^nt

Where:

A: future value of the investment

P: Principal amount

r: interest rate (in decimal form)

n: number of compounding periods in each year

t: years

Replacing:

A= 20,000 (1+0.08/12)^12x40

A = 20,000 (1.0067)^480

A= 485,467.7116

See the attached picture:

The statement ''or any set a, there exists a relation r on a such that r is both symmetric and antisymmetric'' is false. There exists no relation r on a set such that r is both symmetric and antisymmetric for all sets a.

A relation r on a set A is symmetric if (a, b) ∈ r implies (b, a) ∈ r for all a, b ∈ A. On the other hand, a relation r on a set A is antisymmetric if (a, b) ∈ r and (b, a) ∈ r implies that a = b for all a, b ∈ A.

Suppose we have a set a with more than one element, say a = {x, y}, where x ≠ y. For r to be symmetric, we must have both (x, y) and (y, x) in r. For r to be antisymmetric, we must have (x, y) and (y, x) in r implies that x = y.

However, this is a contradiction because x ≠ y, and we cannot have both (x, y) and (y, x) in r that satisfies antisymmetry. Therefore, it is not possible to find a relation r on all sets a that is both symmetric and antisymmetric. Hence, the statement is false.

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Answer:

if your looking for z it is 5/8k+2.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please, include the instructions.

I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.

Use the method of elimination by addition and subtraction.  To eiiminate w, multiply all four terms of the first equation by 10, obtaining:

10 z + 10w - 30 = 10k

6z   - 10 w        = 80

Then 16z - 30 - 80 = 10k, or

16z  -110 = 10k,  Simplifying this, we get:

      10(k + 11)  

z = ---------------

            16

Substituting this expression for z into the first equation, we get:

(10/16)(k + 11) + w - 3 = k.  We must solve this for w:

-(10/16)(k + 11) + w - 3 = k), or

-(10/16)(k + 11) - w + 3 = -k

Then -(10/16)(k + 11) + 3 + k = w

and so the solution, in terms of the unknown constant k, is

      10(k + 11)  

(     --------------,  -(10/16)(k + 11) + 3 + k   )

            16

Answer:

I think the answer is 8, but i ain't sure so......

Step-by-step explanation:

2 + 8 = 10

10 + 8 = 18

18 + 8 = 26

26 + 8 = 34

The probability that the family will have three children of the same gender is 1/4 or 25%.

To calculate the probability of having three children of the same gender, we can consider the possible outcomes for each child's gender.

Since the probability of having a boy or a girl is equal (assuming a 50% chance for each), we have two possible outcomes for each child: boy (B) or girl (G).

The total number of possible outcomes for the three children is 2 * 2 * 2 = 8, as each child has two possible genders.

Now, let's calculate the number of favorable outcomes where all three children have the same gender.

If they have all boys (BBB), there is only one favorable outcome.

If they have all girls (GGG), there is also only one favorable outcome.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The probability of having three children of the same gender is then 2 favorable outcomes out of 8 possible outcomes, which can be expressed as 2/8 or simplified to 1/4.

So, the probability that the family will have three children of the same gender is 1/4 or 25%.

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The number of ways to get 66 tails in 1212 coin tosses is approximately 1.34 x 10^-14.

The number of ways to get k tails in n coin tosses is given by the binomial distribution formula:

n choose k * p^k * (1-p)^(n-k)

where n choose k is the number of ways to choose k tails from n coin tosses, and p is the probability of getting a tail on a single coin toss (which is 1/2 if the coin is fair).

In this case, we have n = 1212 and k = 66, so we can plug these values into the formula:

1212 choose 66 * (1/2)^66 * (1/2)^(1212-66)

1212 choose 66 is approximately 4.4 x 10^10, so the final answer is approximately:

4.4 x 10^10 * (1/2)^1212 ≈ 1.34 x 10^-14

Therefore, there are approximately 1.34 x 10^-14 ways to get exactly 66 tails in 1212 coin tosses.

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a) The absolute risk of dying today is 1/10,000, which is given in the question.

b) The absolute risk of dying today if you ride a bike is 1/5,000.

c) The absolute risk of dying today if you wear a safety belt and drive defensively is 1/20,000.

Given: The risk of dying today is 1/10,000, the risk of being hit and killed today if you ride a bicycle is 1/5,000, and the risk of dying today if you wear a safety belt and drive defensively is 1/20,000.Absolute risk is defined as the probability or chance of an event taking place.

It indicates the number of people who are expected to experience the event over a given period, typically a year. This is in contrast to the relative risk, which compares the chance of an event happening in one group with the likelihood of it occurring in another group.

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Using the normal distribution, it is found that:

a. A male sailor whose waist is 34.1 inches is at the 87.5th percentile.

b. 5.7% of male sailors requires custom uniform pants.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 32.6, \sigma = 1.3\)

For item a, the percentile is the p-value of Z when X = 34.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (34.1 - 32.6)/1.3

Z = 1.15

Z = 1.15 has a p-value of 0.875.

Hence 87.5th percentile.

For item b, the proportion who does not require an special order is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 30, hence:

X = 36:

Z = (36 - 32.6)/1.3

Z = 2.62

Z = 2.62 has a p-value of 0.996.

X = 30:

Z = (30 - 32.6)/1.3

Z = -2

Z = -2 has a p-value of 0.023.

0.996 - 0.023 = 0.943.

Hence the proportion who requires an special order is:

1 - 0.943 = 0.057.

5.7% of male sailors requires custom uniform pants.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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It is used to simplify and combine fractions with different denominators by finding a common denominator.(\(m^{2}\) + 2mn) / (mn+\(n^{2}\)) Thus option D is correct.

To perform the operation:

m/mn + n/m+n

We need to find the LCD (Least Common Denominator) of the fractions, which is mn+n.

Then, we can rewrite each fraction with the LCD and simplify:

m/mn + n/m+n = m(m+n)/(mn+\(n^{2}\)) + n(mn)/(mn+\(n^{2}\))

= m(m+n)/(mn+\(n^{2}\)) + mn/(mn+\(n^{2}\))

= m(m+n) + mn / (mn+\(n^{2}\))

= (\(m^{2}\) + mn + mn) / (mn+\(n^{2}\))

= ( + 2mn) / (m\(m^{2}\)n+\(n^{2}\))

Therefore,  (\(m^{2}\) + 2mn) / (mn+\(n^{2}\)), which is option 4.

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Answer:

3. 1 is ur answer

Step-by-step explanation: Just did the lesson and got it right

Answer:

It’s B

Step-by-step explanation:

they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.

ur wlcm :)

brainliest please?

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable, which is manipulated in order to observe its effect on the dependent variable.

In the analysis of variance procedure (ANOVA), factor refers to:
b. the independent variable

In ANOVA, a factor is an independent variable that is manipulated or controlled to investigate its effect on the dependent variable. Different levels of a factor represent the variations in the independent variable being tested. The different levels of a treatment are often created by manipulating the factor.
In contrast, independent variables are not considered dependent on other variables in various experiments. [a] In this sense, some of the independent variables are time, area, density, size, flows, and some results before the affinity analysis (such as population size) to predict future outcomes (dependent variables).

In both cases it is always a variable whose variable is examined through a different input, statistically also called a regressor. Any variable in an experiment that can be assigned a value without assigning a value to another variable is called an independent variable.

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This is an example of remix plagiarism.

Remix plagiarism includes collecting information from different sources, combing together into one work by using the method of paraphrasing, and claiming it as your work.  

The person basically changes the language of the statements and fit the topic under his or her name. Here the hypothesis that majority of college students adore katy perry, rather use the statement "90% of students are katycats".

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Answer: A) Reflection along the line y = -1

===========================================================

Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.

Answer:

(x + 8) / 6

Step-by-step explanation:

The sum of x and 8, meaning x + 8 is being divided by six, so we group x + 8 in parentheses, and divide by 6 to get the answer

Solving system of equations in two variable gives that the number of cards in every booster pack are 10  and number of cards in every premade deck are 32

What is system of equations in two variables and how to find its solution by substitution?

Let x and y be two variables and

a₁x+b₁y =c₁              

a₂x+b₂y =c₂        

Where a₁, a₂, b₁, b₂, c₁, c₂ are  constants   then  we can solve these simultaneous equations by substitution take value of x from equation (1) and then put it in (2) to get an equation for y only and then solve for y. put value of y in equation (1) to get value of x.

Let the number of cards in every booster pack are  x and the number of cards in every premade deck  be y

Number of cards in 5 booster packs will be 5x  and Number of cards in 4  premade deck will be 4y

As Oliver purchases 5 booster packs and 4 premade decks, which included a total of 178 cards.

Thus we get       5x + 4y = 178    .....(1)

Number of cards in 4 booster packs will be 4x  and Number of cards in 7  premade deck will be 7y

As Oliver received 4 booster packs and 7 premade decks, which included a total of 178 cards.

Thus we get     4x +7y = 264       ...(2)

System of equations to be solved is

5x + 4y = 178    .....(1)

4x +7y = 264       ...(2)

From (1) , we get x = \(\frac{178-4y}{5}\)

Put this value in (2)

\(4(\frac{178-4y}{5}) +7y= 264\\\frac{712}{5} -\frac{16y}{5} +7y = 264\\\frac{712}{5}-264=\frac{16y}{5} -7y\\ y= 32\\x= \frac{178-4(32)}{5 }\\ x=50/5\\x=10\)

Therefore x=10 and y= 32

The number of cards in every booster pack are 10   and number of cards in every premade deck are 32

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The measure of angle Z is 47.19°.

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given a triangle XYZ.

m ∠Y = 78°, XY = 9, XZ = 12

We have to find the measure of angle Z.

Using the law of sines,

XZ / sin Y = XY / sin Z

12 / sin (78°) = 9 / sin Z

Cross multiplying,

12 × sin Z = 9 × sin (78°)

sin Z = (9 × sin (78°)) / 12

sin Z = 0.7336

Z = sin⁻¹ (0.7336)

Z = 0.8236 radians

  = 47.19°

Hence the measure of Z is 47.19°.

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Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

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The rate at which the length of the cylinder is changing can be determined using the formula for the volume of a cylinder and applying the chain rule of differentiation. The rate of change of the length h is found to be -0.8192 in/sec.

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the length of the cylinder. We are given that V = 128π cubic inches.

Differentiating both sides of the equation with respect to time, we get dV/dt = d(πr²h)/dt. Using the chain rule, this becomes dV/dt = π(2r)(dr/dt)h + πr²(dh/dt).

Since the radius r is decreasing at a constant rate of 0.05 inches per second (dr/dt = -0.05), and the volume V is constant (dV/dt = 0), we can substitute these values into the equation. Additionally, we know that r = 2.5 inches.

0 = π(2(2.5)(-0.05))h + π(2.5)²(dh/dt).

Simplifying the equation, we have -0.25πh + 6.25π(dh/dt) = 0.

Solving for dh/dt, we find that dh/dt = -0.25h/6.25 = -0.04h.

Substituting h = 8 (since V = πr²h = 128π, and r = 2.5), we get dh/dt = -0.04(8) = -0.32 in/sec.

Therefore, the rate at which the length h is changing when the radius r is 2.5 inches is -0.32 in/sec, which is equivalent to -0.8192 in/sec (rounded to four decimal places). The correct answer is (b) -0.8192 in/sec.

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Answer for #5:

7 friends

Step-by-step explanation:

convert fraction into 4ths:

1/4, 2/4, 3/4, 1/4

add together:

7/4ths

if each friend ate 1/4 of the pizzas, then there are 7 friends

Answer:

3/2

Step-by-step explanation:

The first step is finding two points. (4,6) and (0,0) are two easy points to use.

To find the slope, find the change of y over the change of x.

(6-0)/(4-0) = 6/4 = 3/2

Answer:

I got 387.5

Step-by-step explanation:

I divided the ounces by how many ounce there is per gram,,, but i might be wrong.

Answer:

Simplify the expression.

Exact Form:

37/40

Decimal Form:

0.925

Step-by-step explanation:

Answer:

When reflected across the y-axis the point would be at (9,0)

The number of coins given to Amy, Ben, Carl and Debbie are 1, 3, 9 and 6.

Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number of coins that Amy has and a third of the number of coins that Carl has, and Debbie has two-thirds the number of coins that Carl has.

Let

a = Amy's coins

b = Ben's coins

c = Carl's coins

d = Debbie's coins

Therefore,

b = 3a

c = 3b

3d = 2c

The number of coins that Amy has, multiplied by the number of coins that Ben has, multiplied by the number of coins that Carl has, multiplied by the number of coins that Debbie has, is 162.

Therefore,

abcd = 162

Hence,

we need to write each variable in terms of one variable.

c = 3(3a) = 9a

3d = 2(9a) = 18a

d = 6a

Hence,

a  × 3a × 9a × 6a = 162

162a⁴ = 162

a = 1

Hence,

b = 3(1) = 3

c = 9(1) = 9

d = 6(1) = 6

Therefore, the number of coins given to Amy, Ben, Carl and Debbie are 1, 3, 9 and 6.

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Answer:

variable would be best modeled as discrete

Step-by-step explanation:

Since there are finite students and finite backpacks, so the weights will also be finite and hence countable, so the variable would be best modeled as discrete

The required numbers are given as 330, 440, 550, and so on.

Given that,
To determine the number has 0 ones. The digits in my hundreds and tens places are the same.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

here,
Since the number should be greater than 310 and the digit on the unit place and on the ten places should be identical,
So the number can be given as 330, 440, and so on.

Thus, the required numbers are given as 330, 440, 550, and so on.

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Answer:

8.9

Step-by-step explanation: