Results of a study were F (3, 12) = 2.72. Which of the following is the correct statistical decision?
Group of answer choices
Reject the null hypothesis, there was a statistically significant mean difference.
Reject the null hypothesis, there was not a statistically significant mean difference.
Fail to reject the null hypothesis, there was a statistically significant mean difference.
Fail to reject the null hypothesis, there was not a statistically significant mean difference.
How do you find the P-value?

Answer:

  6.48×10⁻⁹

Step-by-step explanation:

You want the number 64.8×10⁻¹⁰ written correctly in scientific notation.

A number in scientific notation has 1 digit to the left of the decimal point. The coefficient of the number shown needs to be divided by 10, and the exponent adjusted upward by 1 so the value stays the same. The result is ...

  6.48×10⁻⁹

__

Additional comment

A calculator or spreadsheet can display a number in scientific notation for you .

The second attachment names the parts of the number. The "coefficient" is sometimes called the "mantissa."

Answer:

200/3n

Step-by-step explanation:

It is a strangely worded question but you are dividing the paper in 3's n times so 3n will be part of the answer and you are dividing 200. So, the answer is 200/3n.

Answer:

x=9

Step-by-step explanation:

5x - 5(3x +13)=0

5x - 3x - 13 - 5 = 0

2x -18= 0

x=18/2

x=9

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀\(\frac{2}{3x}-\frac{1}{9x}+5=20\).

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find:

⠀The value of the variable \(x\) in the above example.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, azzaric!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Decision:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀The value of the variable \(x\) in the above example is equal to \(\frac{1}{27}\).

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

Answer:

2.25 ounces

Explanation:

so total used:

Answer:

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Out of 12 contestants, the judges will select either 3 or 4 contestant.

Number of groups that can be formed when judges pick three contestants

\(^{12}C_3\)

\(220\)

Number of groups that can be formed when judges pick three contestants

\(^{12}C_4\\495\)

Number of more  groups that can be formed if the judges  pick four instead of three

\(= 495-220 = 275\)

Hence, option A is correct

The solution that we have here is a combination question not a permutation.

You can order pizza with:  1, 2, 3, 4 toppings for $10.

The ways to do the ordering are

In total there would be  3060+816+153+18=4047 ways of ordering for the pizza.

3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have

2¹⁸ ways of ordering = 262144 ways

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Answer:

2 -5

Step-by-step explanation:

The slope and y-intercept are 2 and -5 after comparing them with the standard equation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is y > 2x-5

The above inequality represents the linear graph

After drawing on the graph:

On comparing:

y = mx + c

The slope m = 2

The y-intercept c = -5

Thus, the slope and y-intercept are 2 and -5 after comparing them with the standard equation.

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Answer:

x = 2.25

Step-by-step explanation:

-3x + 10 = 5x - 8

add 3 to 5x, add 8 to 10

18 = 8x

divide 18 by 8

x = 18/8 = 2.25

Step-by-step explanation:

The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.

The graph will generally exhibit a local maximum at x = 2 and local minima at x = -1 and x = -4

To determine the local maxima and minima of the function f(x) = (x-2)(x+1)(x+4), we can analyze the derivative f'(x). By setting f'(x) equal to zero and solving for x, we can find the critical points of f. The intervals of increase and decrease can be determined by examining the sign of f'(x) in different intervals. Sketching a graph of f can provide a visual representation of its behavior, but it's important to note that the specific shape of the graph may vary.

To find the critical points of f(x), we set f'(x) = 0 and solve for x. In this case, f'(x) = (x-2)(x+1)(x+4). Setting this equal to zero, we find that the critical points are x = 2, x = -1, and x = -4. These are the points where f(x) may have local maxima or minima.

To determine the intervals of increase and decrease, we can examine the sign of f'(x) in different intervals. We can choose test points within each interval and evaluate f'(x) to determine its sign. For example, in the interval (-∞, -4), we can choose x = -5 as a test point. Evaluating f'(-5), we find that f'(-5) < 0, indicating that f(x) is decreasing in this interval. By applying a similar process to the other intervals (-4, -1) and (-1, 2), we can determine the intervals of increase and decrease for f(x).

Sketching a graph of f(x) can help visualize the behavior of the function. However, it's important to note that the specific shape of the graph may vary. The graph will generally exhibit a local maximum at x = 2 and local minima at x = -1 and x = -4, but the curvature and overall shape of the graph will depend on factors such as the scale of the axes and the positioning of the critical points.

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a. The parameter of interest is the proportion of Kitchenaid dishwasher customers east of the Mississippi who prefer the bisque color (p).

b. Null hypothesis: The proportion of customers east of the Mississippi who prefer the bisque color is less than or equal to 0.3 (p <= 0.3); Alternative hypothesis: The proportion of customers east of the Mississippi who prefer the bisque color is greater than 0.3 (p > 0.3).

a. The parameter of interest is the proportion of Kitchenaid dishwasher customers east of the Mississippi who prefer the bisque color. It can be denoted as p.

b. The null hypothesis is that the proportion of customers east of the Mississippi who prefer the bisque color is less than or equal to 0.3, i.e., p <= 0.3. The alternative hypothesis is that the proportion of customers east of the Mississippi who prefer the bisque color is greater than 0.3, i.e., p > 0.3. This is based on the condition that if less than 30% of customers east of the Mississippi prefer the bisque color, then the color will be discontinued unless more than 30% of its customers in states east of the Mississippi prefer it to make up for lost sales elsewhere.

c.

# set the random seed for reproducibility

set.seed(1234)

# number of simulations

num_sims <- ???

# number of observations to resample

sample_size <- ???

# vector to store the simulated proportions

sim_props <- numeric(num_sims)

# simulate the null hypothesis

for (i in 1:num_sims) {

 # randomly sample from a population with p = 0.3

 sample_data <- sample(c("bisque", "other"), size = sample_size, replace = TRUE, prob = c(0.3, 0.7))

 # calculate the proportion who prefer bisque

 sim_props[i] <- sum(sample_data == "bisque") / sample_size

}

# plot the histogram of the null distribution

hist(sim_props, breaks = 20, col = "gray", main = "Null Distribution", xlab = "Proportion")

Note: In the code above, we simulate the null hypothesis by randomly sampling from a population with a proportion of 0.3 who prefer the bisque color, and 0.7 who prefer other colors. We simulate this process for a specified number of simulations (denoted as "num_sims") and for a specified sample size (denoted as "sample_size"). The resulting proportions are stored in a vector called "sim_props". We then plot the histogram of the null distribution using the hist() function.

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Answer:

975

Step-by-step explanation:

6.5 times 150= 975

brainliest em please!

Answer:

40.04

Step-by-step explanation:

It was at 40.04 before the 23% increase. To find 23 % of 52 set it up as a inequality.

x/52 = 23/100

Cross multiply

52 * 23 =  1,196    100 * x =100x

Now solve for x.

100x /100 = 1,196/100          x = 11.96

Subtract answer from 52 to get answer

52 - 11.96 = 40.04

The volume of the wooden toy piece is (848/3)π cubic centimeters (exact answer, not rounded).

To find the volume of the wooden toy piece, we need to subtract the volume of the cylindrical hole from the volume of the sphere.

The volume of a sphere is given by the formula:

V_sphere = (4/3)πr^3

where r is the radius of the sphere.

Substituting the given radius of the sphere (r = 8 cm) into the formula, we have:

V_sphere = (4/3)π(8^3)

= (4/3)π(512)

= (4/3)(512π)

= (2048/3)π

Now, let's find the volume of the cylindrical hole.

The volume of a cylinder is given by the formula:

V_cylinder = πr^2h

where r is the radius of the cylinder and h is the height of the cylinder.

Given that the radius of the cylindrical hole is 5 cm, we can find the height of the cylinder as the diameter of the sphere, which is twice the radius of the sphere. So, the height is h = 2(8) = 16 cm.

Substituting the values into the formula, we have:

V_cylinder = π(5^2)(16)

= π(25)(16)

= 400π

Finally, we can find the volume of the wooden toy piece by subtracting the volume of the cylindrical hole from the volume of the sphere:

V_piece = V_sphere - V_cylinder

= (2048/3)π - 400π

= (2048/3 - 400)π

= (2048 - 1200)π/3

= 848π/3

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Answer:

24

Step-by-step explanation:

Objective: Circle Theorems. Understand that if two tangents of a circle are tangent to the same point, they are equal.

Using that this means that

DB equal CB.

\(5x + 20 = 10x + 16\)

\(20 = 5x + 16\)

\(4 = 5x\)

\(x = \frac{4}{5} \)

Plug in line CB, 5x+20 to find the answer.

\(5( \frac{4}{5} ) + 20 = 24\)

The length of the tangent BC will be 24 units. Then the correct option is A.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The tangent BD = 10x + 16 and BC = 5x + 20.

If the tangents are drawn from a point outside the circle. Then the length of the tangents will be equal. Then we have

BD  = BC

10x + 16 = 5x + 20

5x = 4

x = 0.8

Then the length of the tangent BC will be

BC = 5(0.8) + 20

BC = 4 + 20

BC = 24 units

Then the correct option is A.

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Answer:

15 weeks

Step-by-step explanation:

First, calculate the total that is needing to be saved not including the money she already has.

So 700 minus 175 is 525.

Next, to find the number of weeks, divide 525 by 35 which gives you 15 even.

So if Kalon continues to save $35 a week, it will take him 15 weeks to reach his goal of $700.

The length of side a is 10/3, and the length of the hypotenuse c is 2√(34)/3.

To find the length of side a, we can use the tangent of angle A. The tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, tan(A) = 5/12, which means that the length of side a is 5/12 times the length of the adjacent side. Since we know that side b is 2, we can calculate a = \((5/12) * 2 = 10/3\).

To find the length of the hypotenuse c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we know that side b is 2 and side a is 10/3. Let's denote the length of c as x. Applying the Pythagorean theorem, we have \((10/3)^2 + 2^2 = x^2\). Simplifying this equation, we get \(100/9 + 4 = x^2\). Combining the terms, we have 100/9 + 36/9 = \(x^2\), which gives us \(136/9 = x^2\). Taking the square root of both sides, we have \(x = \sqrt{(136/9)} = \sqrt{(136)/} \sqrt{(9)} = \sqrt{(136)/3} = 2\sqrt{(34)/3}\).

Therefore, the lengths of the missing sides are a = 10/3 and c = \(2 \sqrt{(34)/3}\).

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When the applet selects random samples from the town's population of babies, we assume that the population is large enough and diverse enough to accurately represent the characteristics and traits of the entire population.

We assume that the selection of the random samples is unbiased and that every member of the population has an equal chance of being selected for the sample.

Based on your question, we are discussing random samples taken from a town's population of babies this year. When selecting random samples from this population, we assume the following:

1. The population of babies is well-defined and includes all babies born in the town within the specified year.
2. The random samples are representative of the entire population, meaning that each baby has an equal chance of being selected in the sample.
3. The samples are independent, meaning that the selection of one baby does not influence the selection of another.

These assumptions ensure that the results obtained from the random samples can be generalized to the entire population of babies in the town for this year.

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By assuming these conditions are met, we can perform statistical analyses on the random samples and make valid inferences about the entire population of babies in the town.

When an applet is selecting random samples from a town's population of babies this year, we typically assume the following about the population:
Independence:

Each baby selected in the sample is independent of the others, meaning that the outcome of one selection does not affect the outcome of another selection.
Randomness:

The applet chooses babies from the population in a random manner, ensuring that every baby has an equal chance of being selected.

Representativeness:

The random samples selected are representative of the entire population, meaning that the samples accurately reflect the characteristics of the town's population of babies as a whole.

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The solution is x ≡ 167(mod 2 x 3 x 5).

Iteration is a process of repeating a set of operations until the desired result is obtained.

Substitution involves solving one equation for one variable and substituting the expression into another equation.

Let's use iteration and substitution to solve this system.

Step 1:We solve the first equation for x:

x ≡ 1(mod 2) => x = 1 + 2k for some integer k.

Step 2:We substitute x into the second equation and solve for k:

1 + 2k ≡ 2(mod 3)

=> 2k ≡ 1(mod 3)

=> k ≡ 2(mod 3).

Hence, k = 2 + 3n for some integer n.

Step 3:We substitute x and k into the third equation and solve for n:

1 + 2(2 + 3n) ≡ 3(mod 5)

=> 4 + 6n ≡ 3(mod 5)

=> n ≡ 2(mod 5).

Hence, n = 2 + 5m for some integer m

.Step 4:We substitute k and n into x:

x = 1 + 2k

 = 1 + 2(2 + 3n)

= 1 + 2(2 + 3(2 + 5m))

= 1 + 2(8 + 15m)

 = 17 + 30m.

The general solution is x = 17 + 30m for some integer m.150 is a solution, so the solution is x  = 17 + 30(5) = 167.

Hence, the solution is x ≡ 167(mod 2 x 3 x 5).

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Answer:

when there are 5 gigabytes

Step-by-step explanation:

40+12x=30+14x

10+12x=14x

10=2x

x=5

Answer:

4/5

Step-by-step explanation:

The value of x from each diagram is;

(6x - 24)° + (2x + 12)° = 180°

The sum of angle on a straight line is 180°

6x - 24 + 2x + 12 = 180

8x - 12= 180

8x = 180 - 12

8x = 168

x = 168/8

x = 21

(2x + 17)° = (3x - 4)°

Alternate angles are equal

2x + 17 = 3x - 4

2x - 3x = -4 - 17

-x = -21

x = 21

3x° + (x - 20)° = 180°

Alternate interior angles are equal to 180°

3x + x - 20 = 180

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 40

(x + 24)° + 2x° = 180°

Alternate interior angles are equal to 180°

x + 24 + 2x = 180

3x + 24 = 180

3x = 180 - 24

3x = 156

x = 52

(2x - 10)° = (x + 40)°

Vertical opposite angles are equal

2x - 10 = x + 40

2x - x = 40 + 10

x = 30

(3x - 10)° + (2x + 30)° = 180°

The sum of angle on a straight line is 180°

3x - 10 + 2x + 30 = 180.

5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

(x - 15)° + 2x° = 90°

Complementary angles

x - 15 + 2x = 90

3x - 15 = 90

3x = 90 + 15

3x = 105

x = 105 /3

x = 35

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The proportional relationship for the table has a constant of 2.

A proportional relationship simply means a relationship that exist between the variables that have equivalent ratios.

In this case, the relationship in the ratio can be expressed as:

y = kx

where k = constant of proportionality

4 = 2k

Divide

k = 4/2 = 2

Thw relationship will be y = 2k. The constant here is 2.

Note that the equation wasn't given but the table has been duly explained.

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The family of functions P = C1e^t / (1 + C1e^t) is a solution to the differential equation dP/dt = P(1 - P) on an appropriate interval of definition.

In the first paragraph, we summarize that the family of functions P = C1e^t / (1 + C1e^t) is a solution to the differential equation dP/dt = P(1 - P). This equation represents the rate of change of the variable P with respect to time t, and the solution provides a relationship between P and t. In the second paragraph, we explain why this family of functions satisfies the given differential equation.

To verify the solution, we can substitute P = C1e^t / (1 + C1e^t) into the differential equation dP/dt = P(1 - P) and see if both sides are equal. Taking the derivative of P with respect to t, we have:

dP/dt = [d/dt (C1e^t / (1 + C1e^t))] = C1e^t(1 + C1e^t) - C1e^t(1 - C1e^t) / (1 + C1e^t)^2

      = C1e^t + C1e^(2t) - C1e^t + C1e^(2t) / (1 + C1e^t)^2

      = 2C1e^(2t) / (1 + C1e^t)^2.

On the other hand, evaluating P(1 - P), we get:

P(1 - P) = (C1e^t / (1 + C1e^t)) * (1 - C1e^t / (1 + C1e^t))

        = (C1e^t / (1 + C1e^t)) * (1 - C1e^t + C1e^t / (1 + C1e^t))

        = (C1e^t - C1e^(2t) + C1e^t) / (1 + C1e^t)

        = (2C1e^t - C1e^(2t)) / (1 + C1e^t)

        = 2C1e^t / (1 + C1e^t) - C1e^(2t) / (1 + C1e^t).

Comparing the two sides, we see that dP/dt = P(1 - P), which means the family of functions P = C1e^t / (1 + C1e^t) is indeed a solution to the given differential equation.

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Answer:

The answer is true.

Answer:

true

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation: