A local pizzeria sold 65 pizzas yesterday.
(a)
The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.

(b)
Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.

Using a significance level of α=0.05, we conducted a hypothesis test to determine if there were differences in the belief that a person's job would be automated for nurses, tax auditors, and fast-food workers.

The null hypothesis was that the mean scores for all three professions were equal, while the alternative hypothesis stated that at least one of the means was different. Based on the test results, we rejected the null hypothesis, indicating that there is sufficient evidence to conclude that there is a difference in mean scores for the three professions. We then used Fisher's LSD procedure to compare the means of nurses and tax auditors. The test result showed that there was not a significant difference between the means for nurses and tax auditors.

The null and alternative hypotheses for the initial hypothesis test are as follows:

H0: μNurse = μTax auditor = μFast-food worker

Ha: At least two of the population means are different.

We conducted a one-way ANOVA test to compare the mean scores of the three professions. The ANOVA test yielded a test statistic of F = 8.74 and a p-value of 0.001, which is less than the significance level of α=0.05. Thus, we rejected the null hypothesis and concluded that there is sufficient evidence to support the alternative hypothesis, which states that at least one of the means is different.

Next, we used Fisher's LSD procedure to compare the means of nurses and tax auditors. The LSD is a measure of the minimum difference between means that must exist to reject the null hypothesis, given the overall level of significance and the sample size. The LSD value was calculated to be 3.25, and the absolute difference between the mean scores for nurses and tax auditors was 0.25, which is less than the LSD. Therefore, we failed to reject the null hypothesis, indicating that there is not a significant difference between the means for nurses and tax auditors.

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Answer:

\(V =33.5\ inches\)

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Formula for the volume of a sphere:  \(V=\frac{4}{3}\pi r^{3}\)

\(Radius = Diameter / 2\)

\(Radius = 4 / 2\)

\(Radius = 2\)

\(V=\frac{4}{3}(3.14) (2)^{3}\)

\(V =33.5\ inches\)

Answer:  \(V =33.5\ inches\)

Without specific data on the number of students who prefer each option, we cannot calculate the probability.

To determine the probability that a student prefers the zoo or the water park, we need to know the total number of students and the number of students who prefer each option. Without this information, it is not possible to calculate the probability accurately.

To calculate the probability, we would need to divide the number of students who prefer the zoo or the water park by the total number of students. For example, if there are 50 students in total and 30 prefer the zoo and 20 prefer the water park, the probability would be:

P(prefer zoo or water park) = (30 + 20) / 50 = 50 / 50 = 1

However, without specific data on the number of students who prefer each option, we cannot calculate the probability.

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

Random assignment of treatments is the best way to ensure that the results of the experiment are valid and not biased. Random assignment of treatments would ensure that the results are not affected by factors such as soil type, climate, and other environmental conditions. This is because random assignment of treatments would ensure that the farms that receive the insecticide treatment are not systematically different from those that do not receive the treatment. This is important in order to gain accurate results from the experiment.

Random assignment of treatments is accomplished using the following formula:

Treatment Assignment = (Number of Farms) x (Random Number between 0 and 1)

By randomly assigning treatments to the farms, we can be sure that the results are not skewed by external factors. This will allow us to better determine the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants.

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

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Answer: 5.4

Step-by-step explanation:

\(29.16 < 30 < 30.25 \implies 5.4 < \sqrt{30} < 5.5\)

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

-51

Step-by-step explanation:

b-7c

fill your varibles in

(-2)-7(7)

pemdas multiply first

-2-49

-51

Answer:

When we know the initial population

, the next thing we need to solve the growth constant

to derive the exponential growth function.

If the problem gives the time it takes for the population to double or the doubling time

τ

. We can find the growth constant by substituting the doubling constant into the equation and solving for t.

This means that the statement is TRUE because the term for initial population cancels out when solving for k and the doubling time is given.

Step-by-step explanation:

can i have brainliest

Answer y=-7

i have done this before please tell me if you NEED an explanation

Hi there!

We are given the slope of the line and a point that it passes through.

Using this information, we can solve this problem.

Start by writing this equation in Point-Slope form:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0(x+5)

y=7

That's the equation. Hope it helps! :-)

~GracefulGirlie

Good luck on your assignment. :-)

Answer:

  10

Step-by-step explanation:

You want a number such that the square root of the sum of it and 8 is 3 times the square root of 2.

The relation in the problem statement is ...

  √(x +8) = 3√2

Squaring both sides, we have ...

  x +8 = 3²·2 = 18

  x = 10 . . . . . . . . . subtract 8

The number is 10.

<95141404393>

we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.

To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.

From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.

Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.

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Answer:

1.

Blank 1: y

Blank 2: x

2.

Blank 1: x

Blank 2: y

Step-by-step explanation:

The reflection of a point along y-axis means the y value stays the same and the x-value changes its sign.

Blank 1: y

Blank 2: x

The reflection of a point along x-axis means the x value stays the same and the y-value changes its sign.

Blank 1: x

Blank 2: y

The standard form of the equation of a parabola with a vertex at the origin and a focus at (-3/2, 0) can be obtained by using the formula (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus.

In this case, the vertex is at the origin (0, 0), and the focus is at (-3/2, 0). Therefore, the distance between the vertex and the focus is p = 3/2. Plugging these values into the formula, we get the standard form of the equation as x^2 = 6y.

In summary, the standard form of the equation of the parabola with a vertex at the origin and a focus at (-3/2, 0) is x^2 = 6y. This equation represents a parabola that opens upward with its vertex at the origin and its focus to the left of the vertex. The coefficient of y, which is 6, determines the width of the parabola.

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Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

Answer:

Step-by-step explanation:

At Step 2 you subtract 1/2 from both sides of the equation:

Its justification is therefore is:

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let x represent the number of hot dogs and y represent the boxes of popcorn.

Justin buys a total of 9 snacks. Hence:

He buys popcorn 3 less than twice as many hot dogs. Hence:

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 5

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

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The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Answer:

21.97%

Step-by-step explanation:

Answer:

The answer is 325

Step-by-step explanation:

hope it helps<333

Answer: there were 6 chairs

Step-by-step explanation: 10x + 5 = 65

Answer:

-5

Step-by-step explanation:

\(\mathsf{gradient=\dfrac{change\ in\ y}{change \ in \ x}}\)

Pick 2 points on the line:

(-2, 5) and (-1, 0)

\(\implies \mathsf{gradient=\dfrac{5-0}{-2--1}=-5}\)

Answer:

-847

Step-by-step explanation:

Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 =   -847

Answer:

-847

Step-by-step explanation:

10-4*6^3+7

PEMDAS

Parentheses first - there are none

Exponents

10-4*216+7

Multiply and divide from left to right

10-864+7

Add and subtract from left  to right

-854 +7

-847

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

53

Step-by-step explanation:

The answer is 18 ounces of salt in 20% solution should be mixed with 27 ounces of 10% solution to produce 45 ounces of 14% salt solution.

let x and y be the amount of 20% and 10% solutions respectively:

x + y = 45 ____eq.1

20%x + 10%y = 14% (45)

20/100x + 10/100 y = 14/100 (45)

0.2x + 0.1y = 0.14 (45)____eq.2

Rewrite eq.1 to (x=45-y) and plug that value into that of eq.2

0.2(45-y) + 0.1y = 6.3

9 - 0.2y + 0.1y = 6.3

-0.1y = -2.7

y = (-2.7) ÷ (-0.1)

y = 27

put the value of y in eq. 1

x + y = 45

x + 27 = 45

x = 45 - 27

x = 18

Therefore, 18 ounces of salt in 20% solution should be mixed with 27 ounces of 10% solution to produce 45 ounces of 14% salt solution.

Full Question:

How many ounces of a 20% salt solution should be mixed with a 10% salt solution to produce 45 ounces of a 14% salt solution?

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Point (-3, 0) is required solution to the inequality. Hence option B. is correct.

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

As from graph,
The inequality can be define as -\(y > \frac{4}{3}x+4\)
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.

Thus, point (-3, 0) is required solution to the inequality.

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