Please guys help because I don't. know it​

Based on the given sample statistics (s²=25.98, n=51), the test statistic (χ²) should be calculated using the formula (n - 1) * s² / σ², and then compared to the critical value for the chi-square distribution with (n - 1) degrees of freedom at a significance level of α = 0.10 to determine whether to reject the null hypothesis or not.

To test the claim about the population variance σ² at the significance level α, we can use the chi-square test. Here's how you can perform the test with the given information:

State the null and alternative hypotheses:

The null hypothesis (H₀) is that the population variance σ² is greater than 16.6.

H₀: σ² > 16.6

The alternative hypothesis (H₁) is that the population variance σ² is less than or equal to 16.6.

H₁: σ² ≤ 16.6

Select the significance level (α):

The given significance level is α = 0.10 (or 10%).

Compute the test statistic:

The test statistic for the chi-square test of variance is given by:

χ² = (n - 1) * s² / σ²

Where:

n = sample size (51)

s² = sample variance (25.98)

σ² = population variance (claim value, 16.6)

Using the given values, we can calculate the test statistic:

χ² = (51 - 1) * 25.98 / 16.6

Determine the critical value:

The critical value for the chi-square test depends on the degrees of freedom and the significance level. Since we are testing a one-tailed hypothesis (σ² ≤ 16.6), we will use the lower tail of the chi-square distribution.

The degrees of freedom for the chi-square test of variance is given by (n - 1). In this case, it is 50 (51 - 1).

Using a chi-square distribution table or a calculator, you can find the critical value for α = 0.10 and 50 degrees of freedom.

Make a decision:

If the test statistic (χ²) is less than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Compare the test statistic (χ²) to the critical value. If χ² < critical value, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Interpret the decision:

Based on the comparison of the test statistic and the critical value, you can determine whether to reject or fail to reject the null hypothesis.

If the null hypothesis is rejected, it provides evidence to support the alternative hypothesis. If the null hypothesis is not rejected, there is not enough evidence to support the alternative hypothesis.

Please note that I am unable to provide the exact critical value without access to a chi-square distribution table or calculator. However, by following the steps above, you should be able to perform the test and interpret the results using the provided information.

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Answer:

x value 0 yields y value of -4

x value 1 yields y value of 1

x value 2 yield y value of 6

Step-by-step explanation:

All we have to do to solve this question is plug in the value of x into the function and get the output or y.

When we plug in 0 we get 5(0)-4. 0 times any number is 0 so the first answer is 0.

When we plug in 1 we get 5(1)-4. This is just 5-4 or 1.

When we plug in 2 we get 5(2)-4. This is just 10-4 or 6.

I hope you liked my answer. Thanks

In 15 years, Lori will be five years less than three times Jamie's age.

Let's assume x represents the number of years. After x years, Lori will be 25 + x years old, and Jamie will be x years old (since Jamie was born when Lori was 25). According to the given information, Lori will be five years less than three times Jamie's age. This can be expressed as:

25 + x = 3x - 5

Simplifying the equation, we have:

2x = 30

Dividing both sides by 2, we get:

x = 15

Therefore, in 15 years, Lori will be five years less than three times Jamie's age.

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Andrew intends to make a second batch of Sauce 1 and Sauce II with 3,180 green peppers and 5,560 hot chili peppers.

You've tried poblanos and like the heat they provide to homemade salsa, but you're ready to branch out. The good news is that there are more than 4,000 different varieties of chili peppers in the world, and more are constantly being created.

Andrew prepares hot salts. his first batch will have 4 chili peppers and 6 green peppers, while his second batch will contain 3 green peppers and 10 chili peppers. We therefore need to know how many of each he requires.

To give you an idea of how many peppers to use per bottle of hot sauce, we suggest using at least two really hot peppers per bottle for a sauce with a lot of heat. In addition, habaneros can be made with 4-6 peppers.

Therefore, 975 green peppers and 1,250 hot peppers are purchased by Andrew. He uses all of those peppers to make both types of sauce.

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Answer:

Question 1 : The answer is 143.3 miles

Question 2 : The answer is 120 minutes

Step-by-step explanation:

1.Based on the give conditions:

\(43 \times 90 \div 27 \\ calculate \frac{43 \times 90}{27} = \frac{430}{3} \)\( = 143.3\)

2. 90 miles = 75min

143.3 ÷ 90 = 1.6

75 × 1.6 = 120

so the answer is 120 min

Answer: 27.43%

Explanation:

Let x be a random variable representing the age of the specific breed of dogs. Since the age is normally distributed and the population standard deviation is known, we would calculate the z score by applying the formula;

z = (x - μ)/σ

where

x is the sample mean

μ is the population mean

σ is the population standard deviation

From the information given,

μ = 162

σ = 30

x = 144

By substituting these values into the formula, we have

z = (144 - 162)/30

z = - 0.6

We want to find P(x < 144). This is the area under the curve to the left of z = - 0.6 on the standard normal distribution table. By looking at z = - 0.6 on the table,

P(x < 144) = 0.2743

Thus, the probability that a dog will live for less than 144 months is 0.2743

We would convert it to percentage by multiplying by 100. We have

0.2743 x 100 = 27.43%

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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Answer:

its a unit rate because it compares 3 meals to 1 day (ex. breakfast, lunch, dinner all = 1 day)

Step-by-step explanation:

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All the components of the question are solved below.

(a) 2πd is not a valid expression to calculate a distance because d is not a distance, it is a position.

(b) x+Δr could be a valid expression to calculate a distance because x is a distance and Δr is a position difference, so their sum is also a distance.

(c) x+y2 is not a valid expression to calculate a distance because the units of x and y2 are not consistent with each other.

(d) x2+y2 is a valid expression to calculate a distance because both x and y are distances and their sum squared represents the Pythagorean theorem, which is commonly used to calculate distances in physics.

(e) A+z is not a valid expression to calculate a distance because A is an area and z is a distance, so their sum does not have a physical interpretation as a distance.

(f) vΔt2 is not a valid expression to calculate a distance because v is a velocity and Δt is a time difference, so their product does not have a physical interpretation as a distance.

(g) aΔt2 is a valid expression to calculate a distance because a is an acceleration and Δt is a time difference, and their product represents the displacement of an object under constant acceleration, which is a distance.

Therefore, all the components of the question are solved above.

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Answer:

1256 ft²

Step-by-step explanation:

20 ÷ 2 = 10

4πr²

4 × 3.14 × 10²

4 × 3.14 × 100

4 × 314

1256

A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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Answer:

1

Step-by-step explanation:

-f + 2 + 4f = 8 - 3

3f = 6 - 3

3f = 3

f = 1

Answer:

f=1

Step-by-step explanation:

-f+2+4f=8-3

First what you want to do i that you want to simplify as best as you can.

-f+2+4f=8-3 becomes 3f+2=8-3 because you add the 4f to the -1f.

Then, just subtract 2 from both sides to get 3f=8-5

Now, simplify even more

3f=8-5 becomes 3f=3

It should be easy now, but if you still need help, divide

f=1

To find the average value of f(x)⋅g(x) on 0≤x≤2, we need to first find the integral of f(x)⋅g(x) over the given interval. This can be done by multiplying the functions and integrating the resulting product over the given interval using the definite integral. Once we have the integral, we can divide it by the length of the interval to find the average value.

Assuming we have the functions f(x) and g(x), we can write the integral as:
∫0^2 f(x)⋅g(x) dx
Solving this integral will give us the value of the area under the curve of the product function between the limits of 0 and 2. Once we have this value, we can divide it by the length of the interval (which is 2 in this case) to get the average value of the function.
It's important to note that without knowing the specific functions f(x) and g(x), we cannot give a specific answer to this question. However, we can provide a general method for finding the average value of a product function over a given interval using integration.
In summary, to find the average value of f(x)⋅g(x) on 0≤x≤2, we need to find the integral of the product function over the interval and divide it by the length of the interval.

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The double asterisk operator (**) is used to raise the radius to the power of 3, which represents r³ in the formula.

To compute the volume of a sphere, the given formula is used. It is: volume of a sphere = (4.0 / 3.0) πr³ where r is the radius of the sphere.

Therefore, to find the volume of the sphere given the sphere_radius and pi, the formula above is used, as shown below: sphere_volume = (4.0 / 3.0) * pi * sphere_radius**3

where sphere_radius is the given radius of the sphere and pi is the constant pi.

The double asterisk operator (**) is used to raise the radius to the power of 3, which represents r³ in the formula.

Pi (π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is an irrational number, which means it cannot be expressed as a simple fraction or as a finite decimal. The decimal representation of pi goes on infinitely without repeating.

The value of pi is approximately 3.14159, but it is typically rounded to 3.14 for simplicity in calculations. However, to maintain accuracy, mathematicians and scientists often use more decimal places, such as 3.14159265359, depending on the level of precision required for their calculations.

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Full question:

Given sphere_radius and pi, compute the volume of a sphere and assign to sphere_volume. Volume of sphere = (4.0 / 3.0) π r3

We know that the answer is: Yes, the series converges.

Consider the series 1- 1/2 - 1/3 + 1/4 + 1/5 - 1/6 - 1/7 + . . . which comes in pairs. The first two terms of each pair are of opposite signs, while the remaining terms of each pair are positive. If we group these terms together, we get:

(1 - 1/2) + (-1/3 + 1/4) + (1/5 - 1/6) + (-1/7 + 1/8) + . . .

Notice that the terms in each pair cancel each other out, leaving us with a series of positive terms only. Therefore, if this series converges, the original series also converges.

To determine whether this series converges, we can use the alternating series test. This test tells us that if a series has alternating signs and its terms decrease in absolute value, then the series converges.

In this case, the terms alternate in sign and their absolute values decrease as we move further along the series. Therefore, by the alternating series test, this series converges.

Thus, the answer is: Yes, the series converges.

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B. A correlation-coefficient.

To determine the predictive validity of a metric scale, which measures a construct of interest, you would need to assess the relationship between the scores on the metric scale and a criterion measure that reflects the same construct. This can be done by calculating a correlation-coefficient between the scores on the metric scale and the scores on the criterion measure. The correlation-coefficient indicates the strength and direction of the relationship between the two measures, with values ranging from -1 to +1. A higher correlation-coefficient suggests a stronger relationship between the metric scale and the criterion measure, indicating higher predictive validity.

Cronbach's alpha is a measure of internal consistency reliability, which assesses the extent to which the items on a scale are consistent with each other. Fishers r-to-z test is a statistical test used to compare the magnitude of two correlation-coefficients, and is not directly related to determining the predictive validity of a metric scale. Therefore, the best answer is B. A correlation-coefficient.

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The best instrument to determine the predictive validity of a metric scale (a set of questions) would be a correlation-coefficient. This is because a correlation-coefficient measures the strength and direction of the relationship between two variables, in this case, the metric scale and the outcome it is predicting.

Predictive validity refers to the extent to which a measure accurately predicts an outcome. A correlation-coefficient would be the best instrument to determine the predictive validity of a metric scale as it measures the degree to which two variables are related, providing information on the strength and direction of the relationship between the metric scale and the predicted outcome. The higher the correlation-coefficient, the stronger the relationship, indicating higher predictive validity. Cronbach's alpha measures internal consistency, while Fisher's r-to-z test is used to compare correlation coefficients, making them less suitable for determining predictive validity.

Therefore, option B, a correlation-coefficient, is the best instrument to determine the predictive validity of a metric scale.

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Answer:

Henry VII died on 21 April 1509, and the 17-year-old Henry succeeded him as king.

For an analysis of variance comparing four treatments, msbetween = 12. The value of ssbetween is 36.

A measure of variability is the variance. It is determined by averaging the squared deviations from the mean. Your data set's variability is shown by its variance. The variance is greater in respect to the mean when the data are more dispersed.

Finding the mean will allow you to compute the population's variance (the average). Squaring the result after deducting the mean from each data point in the sample. The outcomes are squared to make the adverse findings positive.

Data points' deviations from the mean are quantified by their variance. Layman defines variance as the degree to which a set of data (numbers) deviates from the mean (average) value.

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if Spinner A has m options and Spinner B has n options, the total number of different possible sums is n x (m + 1).

To determine the number of different sums possible when two spinners are spun, we need to know the number of options for each spinner and then find all possible sums.

Let's say Spinner A has m options and Spinner B has n options. Then, the possible sums are:

m + 1 different possible sums when Spinner A lands on the first option, namely the sum of the first option on Spinner A and the n different options on Spinner B.

m + 1 different possible sums when Spinner A lands on the second option, namely the sum of the second option on Spinner A and the n different options on Spinner B.

...

m + 1 different possible sums when Spinner A lands on the m-th option, namely the sum of the m-th option on Spinner A and the n different options on Spinner B.

Therefore, the total number of different possible sums is:

(m + 1) + (m + 1) + ... + (m + 1) (n times)

This can be simplified to:

n x (m + 1)

what is number?

A number is a mathematical object used to quantify and measure things, such as quantities, sizes, and values. Numbers can be expressed as numerals, symbols, or words and are used to perform calculations, make measurements, and compare values.

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The inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.

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Answer:

A. 2

Step-by-step explanation:

It would be a triangle. There's no other way unless you used a point in between a and b

The value of CB and DB are 3.25 and 5.2

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

CA = √ 4²+3²

CA = √ 16+9

CA = √ 25

CA = 5

represent DB by x

5/3+x = 4/5

25 = 4(3+x)

3+x = 25/4

3+x = 6.25

x = 6.25 - 3

x = 3.25

represent CB by y

y² = 3.25² + 4²

y²= 10.56+16

y² = 26.56

y = √ 26.56

y = 5.2

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

4i√5

Step-by-step explanation:

√-80

√-1 × √80

Use the imaginary number i.

i × 4√5

= 4i√5

Answer: 7e-5 millimeters, and the nanometer scale is more appropriate

Step-by-step explanation: PLEASE MARK ME BRAINLIEST!!!!!!

-divide the length value by 1e+6

-The millimeter scale and the centimeter scale are two huge, while the nanometer scale is too small. The nanometer scale is often used to measure atoms and viruses.

Answer:

a) The length of the virus in millimetres is 0.000 07 mm.

b) Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Step-by-step explanation:

SI is the abbreviation for The International System of Units.

The SI base unit for length is metres (m).

Milli and nano are SI prefixes used to form decimal multiples or submultiples of SI units.

Therefore, to convert nanometres to millimetres, multiply the nanometres by 10⁻⁶:

So 70 nanometres is:

Viruses are microscopic and so nanometres are the more appropriate unit for writing the length of the virus since the nanometre is a smaller unit of measurement than the millimetre.

Answer:

x=-0.6

Step-by-step explanation:

-3x-3=-1

-3x=-1+3

-3x=2

x=-2/3

Answer:

a couple different obes

Step-by-step explanation:

there are five