for which of the given p-values would the null hypoth- esis be rejected when performing a level .05 test?

a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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The value of z after solving the equation z³ = 8 is 2.

The result of a number (x) being multiplied three times is referred to as the cube of that number. The phrase "cube root" in mathematics means "the number that needs to be multiplied three times in order to acquire the original number." Let's now examine the cube root formula, in which y is equal to the cube root of x. ∛x = y. Any integer can be represented as the cube root by the radical sign ∛, which has a little 3 written on the top left of the sign. Writing 1/3 as a number's exponent is another method to represent a cube root.

The given equation

z³ = 8

The number 8 can be written as

8 = 2 × 2 × 2

= 2³

So,

z³ = 2³

So, comparing both sides, we get

z = 2

This is the solution to the equation.

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Answer:

shawn sells more cars i had this question before:)

Step-by-step explanation:

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The monthly withdrawal amount (PMT) will be approximately $1,042.08.

Calculating the monthly withdrawal amount that will deplete the retirement account balance to zero in 15 years, we can use the formula for the present value of an annuity.

Principal amount (PV) = $100,000

Interest rate (r) = 5.5% per year (or 0.055)

Number of years (n) = 15

Number of periods (monthly) = n * 12 = 15 * 12 = 180

Using the formula for the present value of an annuity, we can solve for the monthly withdrawal amount (PMT): PV = PMT * [(1 - (1 + r)^(-n)) / r]

Substituting the given values:

$100,000 = PMT * [(1 - (1 + 0.055)^(-180)) / 0.055]

By solving this equation, we find that the monthly withdrawal amount (PMT) will be approximately $1,042.08. This means that by withdrawing $1,042.08 per month for 15 years, the retirement account balance will be depleted to zero.

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You have a total of six different ways to select a snack and a beverage at the amusement park.

To determine the number of different ways you can select a snack and a beverage, we can use the concept of combinations.

Let's analyze the options:

Snack: You can choose either a chili dog or popcorn. This gives us 2 choices for the snack.

Beverage: You can choose either lemonade, an energy drink, or water. This gives us 3 choices for the beverage.

To calculate the total number of combinations, we multiply the number of choices for the snack by the number of choices for the beverage. Therefore, the number of different ways to select a snack and a beverage is 2 (choices for snack) multiplied by 3 (choices for beverage), which equals 6.

In other words, there are six different combinations possible:

Chili dog and lemonade

Chili dog and energy drink

Chili dog and water

Popcorn and lemonade

Popcorn and energy drink

Popcorn and water

So, when considering all the options, you have a total of six different ways to select a snack and a beverage at the amusement park.

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The required answer is the total number of ways to form a committee of 5 students with at least 2 girls is 6 + 12 = 18.

To find the number of ways in which a committee of 5 students can be formed from a group of 4 girls and 3 boys, we need to consider two cases: when there are exactly 2 girls in the committee, and when there are more than 2 girls in the committee.
can use the combination formula for each case and then sum the results.
Case 1: Exactly 2 girls in the committee
We can choose 2 girls from 4 in C(4,2) ways, and 3 boys from 3 in C(3,3) ways. Therefore, the total number of ways to form a committee of 5 students with exactly 2 girls is C(4,2) x C(3,3) = 6 x 1 = 6.

Case 2: More than 2 girls in the committee
We can choose 3 girls from 4 in C(4,3) ways, and 2 students from the remaining 3 (i.e. 1 boy and 2 girls) in C(3,2) ways. Therefore, the total number of ways to form a committee of 5 students with more than 2 girls is C(4,3) x C(3,2) = 4 x 3 = 12.

Therefore, the total number of ways to form a committee of 5 students with at least 2 girls is 6 + 12 = 18.

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Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

\(A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]\)

Where;

M = The monthly payment

P = The initial loan balance = $34,006.00

r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

\(0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]\)

\(M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85\)

Therefore, the approximate monthly payment = $548.85

According to the ADA, the maximum slope for a wheelchair ramp is 1/12. Given the dimensions of the ramp built by the Glen Head Boys Club for a local school, we can calculate the height of the ramp at point B. The height of the ramp at point B is approximately 16.7 inches

Explanation:

To calculate the height of the ramp at point B, we need to use the formula:

Height = Length of Ramp × Slope

From the diagram, we can see that the length of the ramp is 26 feet or 312 inches. The slope of the ramp is 1/12, as per the ADA guidelines.

Therefore, the height of the ramp at point B can be calculated as follows:

Height = 312 × (1/12)

= 26

So, the height of the ramp at point B is 26 inches. However, we need to round the answer to the nearest tenth of an inch, as per the question.

Rounding the answer to the nearest tenth of an inch, we get:

Height at Point B = 26 ÷ 12

= 2.1667 feet

= 26.0 inches (rounded to the nearest tenth of an inch)

Hence, the height of the ramp at point B is approximately 16.7 inches, rounded to the nearest tenth of an inch.

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By using simple multiplication, Dominic sold 52 boxes of greeting cards during the fundraiser.

What is multiplication?

Multiplication is an arithmetic operation that combines two or more numbers to find their product or the total number of objects in equal-sized groups. In multiplication, the numbers being multiplied are called factors, and the result is called the product.

The equation that could be used to find the number of boxes n Dominic sold is:

7n = 364

Where n represents the number of boxes Dominic sold and 7 is the price of each box.

To solve for n, we can divide both sides of the equation by 7:

n = 52

Therefore, Dominic sold 52 boxes of greeting cards during the fundraiser.

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Answer: n x 7=364

Step-by-step explanation: 7n = 364

Good luck with the Go Math Comulative Assessment Chapters 7-10 Room 240 ;)

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

Answer:

(x - 3) (x + 12)

Step-by-step explanation:

2x² + 18x - 72

divide the equation by 2

x² + 9x - 36 -36

(x - 3) (x + 12) 12 -3 = 9

Answer:

76.9 UNITS^2

Step-by-step explanation:

The area of the 14 by 15 rectangular shape is 210 square units, and

that of the semicircle is (1/2)(3.14)(7)^2, where 7 is half of the diameter (14).

(1/2)(3.14)(7)^2 = 76.9 UNITS^2

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

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Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology.

He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.

Michael Sullivan, III has training in mathematics, statistics and economics, with a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his 3 children, Michael, Kevin and Marissa, and playing golf. Now that his 2 sons are getting older, he has the opportunity to do both at the same time!

Product details

Publisher ‏ : ‎ Pearson; 4th edition (8 January 2018)

Language ‏ : ‎ English

Hardcover ‏ : ‎ 1224 pages

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The type of polyhedron that can be assembled from this net is a triangular prism because if you assemble this net you get a figure like this

The surface area of the square pyramid is 84 \(cm^{2}\).

A three-dimensional object's surface area is the sum of all its faces.

To find the surface area of the square pyramid we need to add the area of each face.

The base of the square pyramid is square with a length is 6cm and a height of 4cm.

Therefore find the area of the square base which is equal to the square of the side,

Area of square base = \((side)^{2} = 6^{2} = 36\)

Now we need to find the area of the triangular faces, where all the triangle is right angle triangle. the height of the triangle is 4 cm and the base is equal to half of the length of the square pyramid which is b = 3. The slant height of the triangle is the hypotenuse.

Now to find the area of the triangle =

\(A_ tri = \frac{1}{2} * base * height\\A_ tri = \frac{1}{2} * 3 * 4\\A_ tri = 12 cm^{2}\)

There are total 4 triangle = 4 * 12 = 48 \(cm^{2}\)

Therefore to find out the total surface area of the square pyramid

36 + 48 = 84\(cm^{2}\)

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The population in this scenario consists of all employees in the firm, which totals 4,500 individuals. The sample is a subset of the population, specifically 60 randomly selected employees who are part of a committee evaluating the implementation of sensitivity training.

the population refers to the entire group of employees in the firm, which consists of 4,500 individuals. The sample, on the other hand, is a smaller group of 60 employees who have been randomly selected to form a committee. This committee's purpose is to evaluate the proposal of implementing sensitivity training online instead of the current in-person format.

The sample of 60 employees is chosen in a random manner to ensure representativeness and minimize potential bias. By selecting a subset of the population, the committee can provide insights and perspectives that are representative of the larger employee base. Each committee member will have the opportunity to vote "yes" or "no" on the proposal, and their votes will be used to determine the overall sentiment of the committee regarding the implementation of online sensitivity training.

It's important to note that the sample of 60 employees is being used as a representative group to make inferences about the entire population.

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The temperature of the coffee at time t is:

T(t) = 20 + 70e^(-t/20)

A. To get the limiting value of the temperature of the coffee, we can use the fact that the temperature of the coffee is decreasing over time and that the rate of cooling is proportional to the temperature difference between the coffee and the room. As time goes to infinity, the temperature of the coffee will approach the room temperature. Therefore, we have:

limt → ∞ T(t) = Troom = 20°C

B. To obtain the limiting value of the rate of cooling, we can use the same reasoning as above. As time goes to infinity, the temperature difference between the coffee and the room will approach zero, and therefore the rate of cooling will approach zero. Therefore, we have:

limt → ∞ dT/dt = k limt → ∞ (T - Troom) = 0

C. To obtain the constant k, we can use the information that the coffee cools at a rate of 2°C per minute when its temperature is 60°C. The following equation:

dT/dt = k(T - Troom)

When T = 60°C, dT/dt = -2°C/min. Substituting these values into the equation above, we get:

-2 = k(60 - 20)

Solving for k, we get:

k = -2/40 = -1/20

D. To obtain the temperature of the coffee at time t, we need to solve the differential equation:

dT/dt = k(T - Troom)

We can separate the variables and integrate both sides to get:

∫1/(T - Troom) dT = ∫k dt

ln|T - Troom| = kt + C

where C is the constant of integration. Solving for T, we have:

T = Troom + Ce^(kt)

Using the initial condition that the temperature of the coffee is 90°C when t = 0, we get:

90 = 20 + Ce^(k*0)

90 - 20 = C

C = 70

Therefore, the temperature of the coffee at time t is:

T(t) = 20 + 70e^(-t/20)

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Answer:

LK = 7

Step-by-step explanation:

We are using segment addition

NM + ML + LK = NK

x-6  + 9 +  2x-19  = 23

Combine like terms

x+2x   -6+9-19 = 23

3x -16 = 23

Add 16 to each side

3x-16+16 = 23+16

3x = 39

Divide each side by 3

3x/3 = 39/3

x = 13

We want to find the value of LK

LK = 2x-19

     =2(13) -19

     = 26 -19

    = 7

Answer:

\(\sf \: LK = 7 \: units\)

Step-by-step explanation:

It's clear that,

\( \sf \: NM + ML + LK = NK\)

Given that,

NM ---> x - 6

ML ---> 9

LK ---> 2x - 19

NK ---> 23

First, let us find the value of x using these values.

\( \sf \: NM + ML + LK = NK \\ \sf x - 6 + 9 + 2x - 19 = 23 \\ \sf \: combine \: like \: terms. \\ \sf \: 3x - 16 = 23 \\ \sf3x = 23 + 16 \\ \sf3x = 39 \\ \sf \: divide \: both \: sides \: by \: 3. \\ \sf \: x = 13\)

And now we have to find out the length of LK.

As we mentioned before,

LK = 2x - 19

So, to find the length of LK, we have to replace x with 13 and solve the equation.

Let us solve now.

\( \sf \: LK = 2x - 19 \\ \sf \: LK = 2 \times 13 - 19 \\ \sf \: LK = 26- 19 \\ \sf \: LK = 7 \: units\)

Answer: A and B

Step-by-step explanation:

Answer:

Neither, Perpendicular, Parallel, Neither

Step-by-step explanation:

Parallel lines have the same slope.

Perpendicular lines have slopes that are negative reciprocals.

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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The selling price of the vehicle is $ 64864.5.

It is given in the question that:-

Cost price of hummer four-door for the dealer = $57,915

Markup percentage by dealer = 12 %

We have to find the selling price of the vehicle.

We know that,

Selling Price of the vehicle = Cost price of the vehicle + 12% of cost price of the vehicle

Hence, using the data given in the question, we can write,

Selling Price of the vehicle = 57915 + (12/100) *57915

Selling Price of the vehicle = 57915 + 6949.8

Selling Price of the vehicle = $ 64864.5

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Answer: Change of $9.51

Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.

Answer:

9.51

Step-by-step explanation:

multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.

Answer:

Part A: I disagree, because when shading the regions of inequalities, only the shaded area that overlaps with the other shaded area is the solution, not every single point shaded. 5x - 3y > 1 and 3x + 4y ≤ 18 have an overlapping shaded region, that is where the solutions are.

Part B: picture attached

Part C: All points located on the overlapped shaded region (the darkest part)

Step-by-step explanation:

hope this helps, good luck!

X=4

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If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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