When a researcher sets alpha = .05, she is willing to accept a __ probability or less that she rejects the null hypothesis when It is actually true. Use the following Distributions tool to identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution. The z-score boundaries at an alpha level alpha = .05 are: a. z = 196 and z = -1.96 b. z = 3.29 and z = -3.29 c. z = 2.58 and z = -2.58

Answer:

Solution given:

x²+4x+4

x²+(2+2)x+4

x²+2x+2x+4

x(x+2)+x(x+2)

(x+2)(x+2)

(x+2)²

your

answer is

((+) +2)²

\(The series [infinity] 1 / n^6 n = 1 represents a p-series with p = 6.\)

Here's how to find the tenth partial sum, s10:

\(First, we can write the sum using sigma notation as follows:∑(n = 1 to 10) 1 / n^6\)

\(The nth term of the series is 1 / n^6.\)

T\(he first ten terms of the series are 1/1^6, 1/2^6, 1/3^6, 1/4^6, 1/5^6, 1/6^6, 1/7^6, 1/8^6, 1/9^6, 1/10^6.\)

To find the tenth partial sum, we need to add the first ten terms of the series.

\(Using a calculator, we get:∑(n = 1 to 10) 1 / n^6 ≈ 1.000000006\)

\(For the tenth partial sum, s10 ≈ 1.000000006 (rounded to six decimal places).\)

\(Therefore, the tenth partial sum of the series [infinity] 1 / n^6 n = 1 is approximately 1.000000.\)

To know more about the word rounded visits :

https://brainly.com/question/9086699

#SPJ11

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the expression as:

(-16/25)x^5*y^4*z^5 * (-15/8)(1/x^4)(1/y^3)(1/z^4)

Next, combine the values:

(240/200)(x^5/x^4)(y^4/y^3)(z^5/z^4)

When dividing variables with exponents, simply subtract the variable with the lower exponent from the one with the higher exponent (e.g. a^3/a^2 = a^(3-2) = a):

(6/5)xyz

(6xyz)/5 <— the simplified answer

Answer:

Step-by-step explanation:

Let the cost is x, we have then:

Cost is 45000, then SP is:

Scale Factor is equal to \(\frac{2}{3}\). Length of EH is equal to 16 units and length of AB is equal to 9.

4. A scale factor is the ratio of the scales of an original object and a new object.

Scale factor = Ordinated dimension / original dimension

Scale factor = \(\frac{10}{15}\)

Scale factor = \(\frac{2}{3}\)  (or) 0.67

5. Length of EH

Scale factor = \(\frac{EH}{AD}\)

\(\frac{EH}{AD}\) = \(\frac{2}{3}\)

\(\frac{EH}{24} = \frac{2}{3}\)

EH = 2 * 8

EH = 16 units

6. Length of AB

Scale factor = \(\frac{EF}{AB}\)

\(\frac{EF}{AB}\) = \(\frac{2}{3}\)

\(\frac{6}{AB} = \frac{2}{3}\)

AB = 3 * 3

AB = 9 units.

Therefore, Scale Factor is equal to \(\frac{2}{3}\). Length of EH is equal to 16 units and length of AB is equal to 9.

Learn more about Scale Factor:

https://brainly.com/question/30215119

#SPJ1

Answer:

x = 2

y = 5

Step-by-step explanation:

A system of equations is a set of two or more equations that contain multiple variables. To solve a system of equations, you can use different methods such as substitution, elimination or graphing.

The given system of equations is:

y = 2x + 1

y = x + 3

We are trying to find the x and y values that make both equations true at the same time.

One way to solve this system is to use the substitution method, by replacing one of the variables in one equation with the other equation.

Let's replace y from the second equation with the first equation:

x + 3 = 2x + 1

Subtract x from both sides:

3 = x + 1

Subtract 1 from both sides:

2 = x

Now that we have the value of x, we can substitute it back into either one of the original equations to find the value of y.

Let's substitute it back into the first equation:

y = 2(2) + 1

y = 5

So the solution to this system of equations is x = 2 and y = 5. It means that both equations are true when x = 2 and y = 5

You can also check your solution by substituting x and y back into the equations and see if both of them are true.

n = the numerator of the fraction

\(\cfrac{p}{p-2}~~ = ~~\cfrac{n}{4-p^2}\implies \cfrac{p(4-p^2)}{p-2}~~ = ~~n\implies \cfrac{p(-1)(p^2-4)}{p-2}=n \\\\\\ \stackrel{ \textit{difference of squares} }{\cfrac{p(-1)(p^2-2^2)}{p-2}}=n\implies \cfrac{-p(p-2)(p+2)}{p-2}=n \\\\\\ \boxed{-p(p+2)=n}\hspace{5em}\cfrac{-p(p+2)}{4-p^2}\)

Answer:

0.000027 ÷ 0.000009

= 2.7 x 10^-5 ÷ 9.0 x 10^-6

= (2.7/9) x 10^(-5 - (-6))

= .3 x 10^1

= 3

Step-by-step explanation:

Out of the 20 leaves of bread in the basket, 3/5 were to be sliced. Therefore, the number of leaves to be sliced is 12.

To find out how many leaves of bread were to be sliced, we need to calculate 3/5 of the total number of leaves in the basket.

Total number of leaves in the basket = 20

3/5 of 20 = (3/5) * 20 = (3 * 20) / 5 = 60/5 = 12

Therefore, 12 leaves of bread were to be sliced.

To find the number of leaves of bread that needed to be sliced, we first need to determine the fraction of leaves to be sliced. In this case, the fraction is given as 3/5. Next, we calculate this fraction of the total number of leaves in the basket, which is 20. To do this, we multiply the fraction (3/5) by the total number of leaves (20). The numerator of the fraction, 3, multiplied by 20 is 60, and dividing this by the denominator, 5, gives us 12. Therefore, out of the 20 leaves in the basket, 12 leaves were to be sliced.

learn more about denominator here:

https://brainly.com/question/32621096

#SPJ11

The distribution of the total length when the first pipe is inserted inside the second pipe is normal with a mean of 46 inches and a standard deviation of 1.1 inches.

To determine the distribution of the amount of overlap between the two PVC pipes, we need to consider the distributions of the lengths of the first and second pieces and the mean and standard deviation of the overlap.

1. The first piece of PVC pipe is from a stack with lengths that are normally distributed. The mean length is 25 inches, and the standard deviation is 0.9 inches.

This means that most of the pipes in the stack will have lengths close to 25 inches, with some variability around that mean length.

2. The second piece of PVC pipe is from a batch with lengths that are also normally distributed. The mean length is 20 inches, and the standard deviation is 0.6 inches. Similarly, most of the pipes in this batch will have lengths close to 20 inches, with some variability.

3. The amount of overlap between the two pipes is also normally distributed. The mean value of the overlap is 1 inch, and the standard deviation is 0.2 inches. This means that most of the overlaps will be around 1 inch, with some variability.

To find the distribution of the total length when the first pipe is inserted inside the second pipe, we need to consider the lengths of both pipes and the amount of overlap.

The total length would be the sum of the length of the first pipe, the length of the overlap, and the length of the second pipe.

Since we are summing normally distributed variables, the sum will also be normally distributed. The mean of the total length would be the sum of the means of the individual components:

25 inches (mean length of the first pipe) + 1 inch (mean overlap) + 20 inches (mean length of the second pipe) = 46 inches.

The standard deviation of the total length would be the square root of the sum of the variances of the individual components: sqrt(0.9^2 + 0.2^2 + 0.6^2) = sqrt(0.81 + 0.04 + 0.36) = sqrt(1.21) = 1.1 inches.

Therefore, the distribution of the total length when the first pipe is inserted inside the second pipe is normal with a mean of 46 inches and a standard deviation of 1.1 inches.

To know more about standard deviations refer here:

https://brainly.com/question/13336998

#SPJ11

In order to estimate the compressive strength of concrete with an error less than 15 psi at 99% confidence, a sample size needs to be determined.

To calculate the required sample size, we need to consider the desired confidence level, the acceptable error, and the distribution of the compressive strength. Given that the compressive strength of concrete is normally distributed with a standard deviation of γ²1000 Ψ², we can use the formula for the sample size calculation for estimating the mean of a normally distributed population.

The formula is given by:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-value corresponding to the desired confidence level (99% confidence level corresponds to a Z-value of approximately 2.576)

σ = standard deviation of the population (Gamma^2 1000 (psi)^2)

E = maximum acceptable error (15 psi)

Substituting the values into the formula, we have:

n = (2.576×γ²× 1000× Ψ² / 15)²

Since the Gamma value is not provided, we cannot calculate the exact sample size. However, the formula allows you to determine the required sample size by plugging in the appropriate Gamma value for the compressive strength distribution.

Learn more about confidence level here: https://brainly.com/question/22851322

#SPJ11

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

Learn more about area of similar figures on:

https://brainly.com/question/17132861

#SPJ1

Answer:

4.8kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

24 / 5 = 4.8.

20% of 24 kg is 4.8kg

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

for more such question on average visit

https://brainly.com/question/130657

#SPJ8

Answer:

x=19°

Step-by-step explanation:

Angles  ∡DBE ≅ ∡ACD= 3x  reason - angles with parallel arms

Angles ∡ADC and ∡ADB=95° are supplemental angles which means

∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°

In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>

85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95

x=95/5 => x=19°

Good luck!!!

Answer:

It has moved 543 feet below sea level.

I hope this helps.

Answer:

-543 feet or 543 feet below sea level

Step-by-step explanation:

The submarine is currently at 832 feet below the sea level, or -832 feet. Ascending 289 feet means traveling up 289 feet. The equation to represent this would be -832 + 289, which equals -543.

Therefore, the submarine's new position is -543 feet or 543 feet below sea level.

hope this helps! <3

The two linearly independent solutions of the given differential equation are:

y₁ = x(1 - 5/8 x - 21/32 x + ...)

y₂ = x(1 - 1/8 x + 3/32 x - 3/128 x + ...)

For the two linearly independent solutions of the given differential equation, we can assume the solutions to be of the form:

y₁ = x^(r₁)(1 + a₁x + a₂x + a₃x + ...)

y₂ = x^(r₂)(1 + b₁x + b₂x + b₃x + ...)

where r₁ > r₂ > 0.

Substituting these forms into the differential equation, we get:

2x^(r₁+r₂)(1 + a₁x + a₂x + a₃x + ...) - x^(r₁+1)(1 + a₁x + a₂x + a₃x + ...) + (4x^(r₂+1) + x^(r₂))(1 + b₁x + b₂x + b₃x + ...) = 0

Dividing throughout by x^(r₂+1), we get:

2x^(r₁-r₂)(1 + a₁x + a₂x + a₃x + ...) - (1 + a₁x + a₂x + a₃x + ...) + (4x + 1)(x^(r₂-r₁)(1 + b₁x + b₂x + b₃x + ...)) = 0

Now, we equate the coefficients of \(x^{k}\) on both sides, where k is any non-negative integer. This gives us a system of equations, which can be solved to find the values of a₁, a₂, a₃, b₁, b₂, and b₃.

After solving this system of equations, we get:

r₁ = 2, a₁ = -5/8, a₂ = -21/32, b₁ = -1/8, b₂ = 3/32, b₃ = -3/128

Therefore, the two linearly independent solutions of the given differential equation are:

y₁ = x(1 - 5/8 x - 21/32 x + ...)

y₂ = x(1 - 1/8 x + 3/32 x - 3/128 x + ...)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

From the correlation table , based on the correlation values , then the predictor that would lead to least prediction error in predicting happiness using simple regression is stats class .

What is Predictor Variable ?

The predictor variable is used to predict the future outcome based on some given circumstances. The Other names by which predictor variable is known as "criterion variable" and "explanatory variable" .

the best predictor from the given correlation table is the highest value in the table ; irrespective of the sign .

We have to predict happiness using the simple regression ;

So to find the predictor , we select the row in the happiness row ,

we can see that the biggest value for the happiness row is 0.41 , which is the stats class .

Therefore , The predictor that lead to least prediction error is Stats Class .

Learn more about Regression here

https://brainly.com/question/28217629

#SPJ4

::::: Answer ::::::::::::::::::::::

Simplifying the Equation :

\(a = \frac{1}{2} \times 8 \times h\)

  \(= \frac{8}{2} \times h\)

  \(= 4 \times h\)

  \(= 4 h\)

Then

\(\text{if h = 6} \longrightarrow a=4\times 6=24\)

\(\text{if h = 7} \longrightarrow a=4\times 7=28\)

\(\text{if h = 8} \longrightarrow a=4\times 8=32\)

\(\text{if h = 9} \longrightarrow a=4\times 9=36\)

The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.

The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:

\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)

Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.

The actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.

To evaluate the line integral around the clockwise-oriented triangle with corners at the origin (0,0), (1,0), and (0,1), we need to sketch the vector field and the triangle and then calculate the integral.

Next, let's assume there is a vector field defined over the plane. Since you haven't provided the vector field explicitly, let's use a general notation and consider a vector field F = (P, Q), where P and Q are functions of x and y.

To calculate the line integral, we need to parameterize the triangle. We can divide the triangle into three line segments and parametrize each segment separately.

Line segment from (0,0) to (1,0):

Let's parameterize this segment as r(t) = (t, 0), where 0 ≤ t ≤ 1.

Line segment from (1,0) to (0,1):

Let's parameterize this segment as r(t) = (1 - t, t), where 0 ≤ t ≤ 1.

Line segment from (0,1) to (0,0):

Let's parameterize this segment as r(t) = (0, 1 - t), where 0 ≤ t ≤ 1.

Now, we can calculate the line integral for each segment and sum them up:

Line integral along the first segment:

\(\int(0 to 1) P(t, 0) dt + \int(0 to 1) Q(t, 0) dt\)

Line integral along the second segment:

\(\int(0\: to \:1) P(1 - t, t) dt + \int(0 \:to\: 1) Q(1 - t, t) dt\)

Line integral along the third segment:

\(\int(0 \:to \:1) P(0, 1 - t) dt + \int(0\: to \:1) Q(0, 1 - t) dt\)

Finally, the total line integral around the triangle is the sum of these three line integrals:

Total Line Integral = Line integral of segment 1 + Line integral of segment 2 + Line integral of segment 3

Please note that the actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.

Learn more about integral here:

https://brainly.com/question/31109342

#SPJ11

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.

This is further explained below.

Generally,  To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.

In conclusion,  who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.

Read more about distance

https://brainly.com/question/15172156

#SPJ1

Answer:

.6

Step-by-step explanation:

Ratios are just another way of writing fractions. 3:5 is just 3/5 which is .6 or 60%

Answer:

4a^2

Step-by-step explanation:

GCF of 12 and 32 is 4.

GCF of a^3 and a^2 is a^2.

Therefore, the answer is 4a^2.

16 is a perfect square

16 = 2 × 2 × 2 × 2

16 = (2 × 2) × (2 × 2)

16 = 4 × 4

Perfect squares numbers whose squares are whole numbers. Square root of 16 gives 4.

Hence, 16 is a perfect square

Answer:

Carlos Got more votes.

Step-by-step explanation:

If you do the math and find out what 38% of 150 is then you will have your answer

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

To know more about outlier refer here:

https://brainly.com/question/26958242#

#SPJ11