the mean age of bus drivers in chicago is greater than 56.2 years. if a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis

Step 1: Problem

2n = n + 3

Step 2: Concept

Collect like terms and find the value of x.

2n = n + 3

2n - n = 3

n = 3

Step 3: Final answer

n = 3

The expression to represent the statement "Use a to represent any number" would be a = any number. This means that the variable "a" can take on any value, as it represents any number. The use of the phrase "any number" indicates that there is an infinite number of possibilities that a could represent.

Additionally, the term "number" is an important component of this expression as it specifies that a is representing a numerical value rather than a word or symbol. It is important to note that the use of the term "any number" does not imply that a is representing a specific type or range of numbers, but rather, it can represent any number in existence. In conclusion, the expression "a = any number" provides a simple and effective way to represent the concept of using a variable to represent an unknown or unspecified numerical value.

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We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

t represents the number of years

r represents the interest rate

P represents the principal or initial amount deposited

n represents the periodic interval at which it was compounded

From the information given,

t = 3

p = 8

r = 1/100 = 0.01

n = 1 because it was compounded annually

Thus,

A = 8(1 + 0.01/1)^1 * 3

A = 8(1.01)^3

A = 8.2424

The interest earned = 8.2424 - 8 = 0.2424

To the nearest cent, the interest earned is $0.24

I think it is a Convience Sampling.

The type of sampling that Marianne is using is convenience sampling.

Convenience sampling is a non-probability sampling method where individuals are selected based on their availability and willingness to participate in the study.

Here, Marianne surveyed the first 30 students who came into her class, which means that she selected the participants based on their convenience of being there at that particular time.

Convenience sampling is not a random sampling method, and it can introduce bias into the results because the sample may not be representative of the population of interest.

In this case, the sample of students may not represent the entire student population at the school, and the results may not be generalizable to other students.

Thus, the type of sampling that Marianne is using is convenience sampling.

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Answer: $16.8

Step-by-step explanation:

From the question, we are informed that the assistant's biweekly health insurance premium is $84.00 and that Dr. Olson pays 80% of it and the assistant pays 20%.

To calculate the amount that's withheld from each of the assistant's biweekly paychecks for health insurance will be:

= 20% × $84.00

= 20/100 × $84.00

= 0.2 × $84.00

= $16.8

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Answer:

The height of the ball was influenced by the force of the batter, but as this force ceases the only thing dragging the ball is gravity, making its height change through time. It first goes up due to the batter and then down due to gravity.

Step-by-step explanation:

When the softball is hit by the batter a force is applied to it, making it accelerate and dislocate through space. According to the equation at the moment of impact the ball was at a height of 3 units, had a speed of 105 units per second and was under the influence of the acceleration of gravity. This means that the ball's position will change as time goes on, because the force applied by the batter is ceased in the moment of impact and the only thing influencing the ball is gravity. The batter hit the ball in a way that will make it go up and forward, while gravity will drag the ball down again until it hits the ground.

Answer:

Each value of time is associated with exactly one height.

Step-by-step explanation:

Where k is a constant

When y = 36 , x = 3 , z=3

The value of y is 40

Answer:

Step-by-step explanation:

To prove that 3^n < n! for every integer n > 6 using mathematical induction, follow these steps:

1. Base case: Verify the statement for n = 7. We have \(3^{7}= 2187 < 7!=5040\) , so the statement is true for n = 7.

2. Inductive hypothesis: Assume that for some integer k > 6,  \(3^{k} < k!\)holds true.

3. Inductive step: Prove the statement for n = k + 1. We want to show that 3^(k+1) < (k+1)!.

4. Multiply both sides of the

by 3. This gives \(3^{k+1} < (k+1)!\)5. We know that \(3^k < k!\).  Since k > 6, we have k + 1 > 3. Multiply both sides of the inequality \(3^k < k!\) by (k + 1) to get (k+1) * 3^k < (k+1) * k!.

6. Using the result from step 4, substitute 3^(k+1) in the inequality: 3^(k+1) < (k+1) * k!.

7. Recognize that (k+1) * k! = (k+1)!. 8. Combine steps 6 and 7 to conclude that 3^(k+1) < (k+1)!. Since the statement holds true for n = 7 and assuming it is true for k implies that it is true for k + 1, we have proven that 3^n < n! for every integer n > 6 using mathematical induction.

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Answer:

yes probably.

Step-by-step explanation:

If a ramp has an angle of inclination of 20 degrees and a vertical height of 1. 8 m, the length, l meters, of the ramp is 5.25 meters.

For the length of a ramp with an angle of inclination of 20 degrees and a vertical height of 1.8 meters, you can use trigonometry. The trigonometric function that relates the angle of inclination to the length of the ramp and the vertical height is the tangent function.

The formula for the length of the ramp is l = h / tan θ

where l is the length of the ramp, h is the vertical height, and θ is the angle of inclination in radians. To convert the angle of inclination from degrees to radians, you need to multiply it by π / 180, where π is approximately 3.14. Therefore, the formula becomes:

l = h / tan (θπ/180)

Substituting the given values, we get:

l = 1.8 / tan (20π/180)

Using a calculator, we can evaluate the tangent function and get:

l ≈ 5.25 meters

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Given :

A freight elevator has a weight limit of 15,000 pounds.

Workers have loaded items weighing 2.6 tons onto the elevator.

To Find :

How many more pounds of freight can they load before reaching the weight limit.

Solution :

We know, 1 ton = 2000 pounds.

So, 2.6 ton = 2.6 × 2000 = 5200 pounds.

Now, number of pounds of freight can be loaded before reaching the weight limit is :

N = 15000 - 5200 pounds

N = 9800 pounds

The horizontal distance along the grid line from the highest grid elevation point to the 97 contour is 52.38 feet.

To solve this problem, we first need to determine the location of the highest grid elevation point on the grid line labeled 96.33 and 97.48.

Let's assume that the highest grid elevation point is located at a distance of x feet from the grid line labeled 96.33. Therefore, the distance from the same point to the grid line labeled 97.48 would be 50 - x feet (as the total length of the grid line is 50 feet).

Now, we need to determine the location of the 97 contour on the same grid line. Let's assume that the 97 contour intersects the grid line at a distance of y feet from the grid line labeled 96.33.

Since the highest grid elevation point is on the same grid line, it must also be on the 97 contour. Therefore, we can set the elevation at the highest point equal to 97 and use this information to solve for x and y.

We can set up two equations based on the information we have:

x² + y² = d² (Equation 1)

x + (50 - x) = y (Equation 2)

where d is the horizontal distance we are trying to find.

We can simplify Equation 2 to:

50 = y

Substituting this into Equation 1, we get:

x² + 50² = d²

Rearranging this equation, we get:

d² = x² + 2500

Now we can substitute 97 for the elevation at the highest point, and solve for x:

(97 - 96.33)/0.01 = x/50

x = 33.5 feet

Substituting this value of x into the equation for d², we get:

d² = (33.5)² + 2500 = 2742.25

Taking the square root of both sides, we get:

d = 52.38 feet (approx.)

Therefore, the horizontal distance along the grid line from the highest grid elevation point to the 97 contour is approximately 52.38 feet.

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Answer:

1,736km^2

Step-by-step explanation:

Answer:

2,352 km^2

Step-by-step explanation:

So there is a square and 4 triangles.

You first, find the area of the square.

You then get: 35 x 48 = 1,680

Then you need to add the triangles.

Because we have 2 triangles on each side the area formula of a triangle in which is 1/2 times by the base and height can be solved by just B * H.

Doing that you can get: 48 * 7 = 336

Because you have 2 triangles, the final area results in:

1,680 + 336 * 2 = 2,352

The two supporting reasons that are missing from this two-column proof include the following:

Statements                                             Reasons_______________

∠5 ≅ ∠1                                  Alternate Interior Angles Theorem

m∠6 + m∠5 = 180°                 Linear Pair Postulate

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

The Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal.

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The probability that a baseball player has exactly 5 hits in his next 7 at bats =  0.0034

In this question we have been given a baseball player has a batting average of 0.19

We need to find the probability that he has exactly 5 hits in his next 7 at bats.

We know that the formula for the binomial distribution:

P(x) = nCx p^x q^(n - x)

From given information:

p = 0.19

q = 1 - p

  = 1 - 0.19

  = 0.81

n = 7 and x = 5

Using binomial distribution formula the probability would be,

P = nCx p^x q^(n - x)

P = 7C5 * (0.19)^5 * (0.81)^(7 - 5)

P = 21 * (0.19)^5 * (0.81)^2

P = 0.0034

Therefore, the required probability is:  0.0034

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Answer:

135 feet

Step-by-step explanation:

you divide 540÷4 to get the answer

Answer:

TSU is the correct for answer

Another way to name ∠UST is ∠TSU.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

The angle mentioned in the figure is at the point S.

This angle is the smaller angle formed at the point S.

An angle can be represented in two ways, from left to right or from right to left.

Suppose, an angle is ∠ABC.

We can represent this as ∠CBA.

So, the angle represented is ∠TSU.

Hence the angle is ∠TSU.

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In order to estimate the coefficients of linear regression equations that explain the connection between one or more independent quantitative variables and a dependent variable, researchers frequently use the ordinary least squares regression (OLS) method (simple or multiple linear regression), this is ordinary about it.

Because it is the smallest sum of squares of errors, also known as the "variance," the term "least squares" is employed. In a regression analysis, independent variables are shown on the horizontal x-axis and dependent variables are shown on the vertical y-axis.

A linear regression approach that is used to estimate a model's unknown parameters is known as the ordinary least squares (OLS) method.

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The 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov would depend on the sample size and the sample mean and standard deviation of the gas mileage data.

To calculate a 95% confidence interval for the mean gas mileage of a 2012 Prius by all drivers who participate on fueleconomy.gov, we would need to gather a sample of gas mileage data from the website. We would then calculate the sample mean and standard deviation of the gas mileage.
Assuming the sample follows a normal distribution and we have a sample size of at least 30, we can use the t-distribution to calculate the confidence interval. With a 95% confidence level and n degrees of freedom (n-1 = sample size - 1), we can look up the t-value using a t-distribution table or calculator.
Once we have the t-value, we can plug it into the following formula to calculate the confidence interval:
Confidence interval = sample mean ± (t-value * standard error)
The standard error is calculated by dividing the sample standard deviation by the square root of the sample size.

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Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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Therefore, if there were 40 dogs and the ratio stayed the same, there would be 120 cats at the pet daycare.

If the ratio of dogs to cats stays the same, then the ratio of dogs to cats in the two situations will be equal.

The initial ratio of dogs to cats is:

dogs : cats = 20 : 60

= 1 : 3

To maintain the same ratio, the new number of cats (C) can be found by setting up the proportion:

dogs : cats = 40 : C

Using the initial ratio of dogs to cats, we can substitute and simplify:

1 : 3 = 40 : C

Cross-multiplying gives:

C = (3 x 40) / 1

= 120

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Answer:

The cashier is correct.

Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.

Note that the coupon is $2 off the price of each video game

Explanation:

Let run through the sum of the goods Kelly bought;

3 video games that cost $18.95 each;

2 pairs of earbuds that cost $11.50 each;

Total is;

Given that She has a coupon for $2 off the price of each video game.

For the 3 video games, the coupon is;

The total cost will then be the total price of goods minus the coupon;

Therefore, the cashier is correct.

Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.

Note that the coupon is $2 off the price of each video game

Answer:

Probability = 0.500

Step-by-step explanation:

If it is given that the reader is a teen, we have a total of 80 readers, where 40 of those readers have Rowling as their favorite.

So the probability that the reader's favorite is Rowling given that the reader is a teen is the number of teen readers that have Rowling as favorite (40) over the total number of teen readers (80)

Probability = 40 / 80 = 0.500

Answer:

I think it is 2.............

the discount will be 200 x 25% = 50

he will pay 150 for the cordless drill finally

Answer:

Step-by-step:

1.The probability of picking a brown ball can be calculated as:

Probability of picking a brown ball = Number of brown balls / Total number of balls

Number of brown balls = 25

Total number of balls = 13 + 25 = 38

Probability of picking a brown ball = 25/38

Probability of picking a brown ball is approximately 0.658 or 65.8%

Therefore, the probability of Jaide picking a brown ball from the jar is approximately 0.658 or 65.8%.

2.There are four kings in a pack of 52 cards (one king for each suit). Therefore, the probability of drawing a king from a pack of 52 cards can be calculated as:

Probability of drawing a king = Number of kings / Total number of cards

Number of kings = 4

Total number of cards = 52

Probability of drawing a king = 4/52

Probability of drawing a king is approximately 0.077 or 7.7%

Therefore, the probability of getting a king when drawing a card at random from a pack of 52 cards is approximately 0.077 or 7.7%.