It is well known that Pedro won an award for his 270 popular songs. What is less well known, however, is that he wrote a total of 741 songs in his career. How many songs did Pedro write that were not popular?

If you perform multiple t-tests, the Type I error increases.

When conducting multiple t-tests, each individual test has a certain probability of committing a Type I error, which is the probability of incorrectly rejecting the null hypothesis when it is actually true. The standard threshold for Type I error is typically set at 5% (or 0.05).

However, when multiple tests are performed, the probability of committing at least one Type I error across all the tests increases. This is known as the problem of multiple comparisons or multiple testing.

The more tests you perform, the higher the likelihood of observing a significant result by chance alone, leading to an increased Type I error rate.

To address this issue, it is common to adjust the significance level (e.g., using Bonferroni correction) or conduct post hoc comparisons using methods such as Tukey's test or Bonferroni adjustment.

These methods help control the overall Type I error rate when multiple comparisons are made.

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Answer:

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      \(S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5\)

What is the third term?

                                     \(a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805\)

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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The correct measure of the line is given as 2 5/16

We know that we could use a meter rule to be able to measure the line. The meter rule can measure the distance between two point and that is what the line represents. The line runs from one end of the paper to the other and we could measure that distance that is covered by the line by the use of the meter rule.

We can see that between the two mark and the three mark we have sixteen smaller lines. The red line passes across the major lines that includes two and then also passes over five of these smaller sixteen lines.

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1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Answer:

25

Step-by-step explanation:

2^4 = 16

3^2 = 9

9 + 16 = 25

Let us define the following terms,

1) Absolute maximum : This is the highest point over the entire domain of a function.

2) Relative maximum : This is the highest part of a particular section of a graph.

3) Relative minimum : This is lowest point of a certain section of a graph.

Hence, the minimum degree of a polynomial function that has an absolute maximum, a relative maximum, and a relative minimum is 3- degree polynomial function.

Let us sketch an example of 3- degree polynomial function in order to give it a better explanation.

For example, let us take

Conclusively, the graph shown above, explained the reason why the 3- degree is the minimum polynomial function that has an absolute maximum, a relative maximum, and a relative minimum.

Answer:

I believe the answer is 20

Step-by-step explanation:

Answer:

Answer:

The volume is 3179.9 in³

Step-by-step explanation:

Data

side length of the base, a = 18.2 in

height of the pyramid, h = 28.8 in

Square pyramid volume is computed as follows:

V = a² * h/3

Replacing with data, we get:

V = 18.2² * 28.8/3

V = 3179.9 in³

Step-by-step explanation:

 The greatest number that will divide 43, 91, and 183 is 4.

here's your answer 83,91,183and4

Answer:

just get points

Step-by-step explanation:

i dont know sorry

Answer:

Step-by-step explanation:

\(\large \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\\)                                 \(\large \boldsymbol{} 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions\)

There is an 80.8% chance that the installation time for a single computer falls within the confidence interval computed in part (a).

a) To compute the 95% confidence interval for the population mean installation time, we can use the formula:

CI = x ± z* (σ/√n)

where x is the sample mean installation time, σ is the population standard deviation, n is the sample size, and z* is the z-score associated with the desired confidence level (in this case, 95%).

Substituting the given values, we have:

CI = 42 ± 1.96 * (5/√64)

CI = 42 ± 1.225

CI = (40.775, 43.225)

Therefore, we can say with 95% confidence that the population mean installation time is between 40.775 minutes and 43.225 minutes.

(b) If the population mean installation time is 40 minutes, the probability that a randomly selected installation time falls within the confidence interval computed in part (a) can be calculated using the standard normal distribution. We first convert the interval to z-scores:

Lower bound z-score: (40.775 - 40) / (5/√64) = 1.39

Upper bound z-score: (43.225 - 40) / (5/√64) = 4.29

Using a standard normal table or a calculator, we can find the probability that a z-score falls between 1.39 and 4.29. This probability is approximately 0.808.

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Answer:

B

Step-by-step explanation:

When you have a number or numbers by parentheses, you take the number outside them and multiply it to each number that is inside the parentheses. In this case you would do 6*2 + 6*8. If I helped, please mark as brainliest! :)

Answer:

A, B, & C are all correct!

Step-by-step explanation:

The normal probability plot determines a normal distribution

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

Let the normal distribution be represented as N

Now , the normal probability is P

A normal probability plot, also known as a "normal plot," plots sorted data against values chosen to resemble a straight line in the final image if the data are roughly normally distributed.

Divergences from normalcy are shown by deviations from a straight line.

A straight, diagonal line means that you have normally distributed data. If the line is skewed to the left or right, it means that you do not have normally distributed data.

Hence , the normal probability plot determines a normal distribution

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If Lina's father has a 15% off coupon, he will only have to pay 85% of the original cost. So the cost of the meal after the discount is:

Cost after discount = 85% of $20

Cost after discount = 0.85 x $20

Cost after discount = $17

Next, a 7% sales tax is applied to the cost after the discount:

Cost after tax = Cost after discount + (7% of Cost after discount)

Cost after tax = $17 + (0.07 x $17)

Cost after tax = $17 + $1.19

Cost after tax = $18.19

Therefore, Lina's father pays $18.19 for the meal after the discount and sales tax are applied.

Answer:

Answer: liquidity ratio-current ratio

Asset management ratio-total asset turnover ratio

Debt management ratio-leverage ratio

Profitability ratio-return on equity

Market value ratio-PE ratio

Step-by-step explanation:

PLATO

liquidity ratio-current ratio

Asset management ratio-total asset turnover ratio

Debt management ratio-leverage ratio

Profitability ratio-return on equity

Market value ratio-PE ratio

PLATO

Answer:

D = 4, 4, 6, 7

R = 2, -1, 3, 5

Function? It is NOT A FUNCTION

Step-by-step explanation:

Domain (D) include the set of input values, while the Range includes the set of output value (y).

Thus:

Note that the input value, 4, is mapped or is related to two different output values, 2 and 5. Therefore,

D = 4, 4, 6, 7

R = 2, -1, 3, 5

✔️It is not a function because there are two output value related to one input value.

Answer:

1 unit

Step-by-step explanation:

1 unit * 1 unit = 1 square unit

Given that:

- The numbers are consecutive.

- Their sum is 49.

Let the first consecutive number be:

Let the second consecutive number be:

Since a Sum is the result of an Addition, you can set up the following equation:

Now you can solve for "x", in order to find the first number:

Hence, the answer is:

Answer:

-2

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Nonlinear dynamics and chaos are important fields of study within mathematics that focus on the behavior of complex systems that are difficult to predict. These systems can exhibit chaotic behavior, which is characterized by extreme sensitivity to initial conditions and the appearance of random patterns and fluctuations over time.

Differential equations are often used to model such systems, and numerical methods like 2nd order Runge-Kutta and 4th order Runge-Kutta can be used to solve them. The differential equation given in this to solve this equation using the 2nd order Runge-Kutta method, we need to follow these steps.

Write a conclusion based on the results obtained. The solution for the differential equation dy/dt = y²t using 2nd order Runge-Kutta and 4th order Runge-Kutta methods is more than 250 words, depending on the number of steps taken and the level of detail included in the explanation.

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15.87 % percent of batteries have lifetimes more than 561 days.

Given:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days.

μ = 500

σ = 61

we know that

z = X - μ / σ

z score :

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Given X = 561 days

substitute

z = 561 - 500 / 61

= 61 / 61

z = 1

At z = 1 p value is 0.8413

1 - 0.8413 = 0.1587

= 0.1587 * 100 %

= 15.87 %

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Answer:

128:72

Or

16:9 (simplified)

Hope this helps!

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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