Which of the following hypotheses has the appropriate form for a null? hypothesis?
Choose the correct answer below.
A. P=0.30
B. P>0.30
C. P ?0.30
D. P <0.30

The calculations below show that Z-score of 10 is –1.25; Z-score of 20 is 1.25; Z-score of 12 is –0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.

The following notations and formulas will be used in these calculations:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

SD = Standard deviation = Variance^0.5

Z-score = (x - Mean) / SD

Where;

n = number of values = 5

x = each value

Therefore, we have:

Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15

Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16

SD = Standard deviation = Variance^0.50 = 16^0.5 = 4

Z-score of 10 = (10 – 15) / 4 = –1.25

Z-score of 20 = (20 - 15) / 4 = 1.25

Z-score of 12 = (12 - 15) / 4 = –0.75

Z-score of 17 = (17 - 15) / 4 = 0.50

Z-score of 16 = (16 - 15) / 4 = 0.25

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Answer:

143.5%of200=287

Step-by-step explanation:

Answer:

Third choice, 147

Step-by-step explanation:

Look at the bottom right angle, a straight line is 180 degrees, the line separating going on the line is at a 90 degree angle as there's a square that represents a right angle for the outer angle, the inner angle is also 90 as 90+90=180. A triangle is 180 degrees, all the equations plus 90 equals 180 so:

8x + 1 + 5x - 2 + 90 = 180

add like terms

13x + 89 = 180

subtract 89 from both sides

13x = 91

divide by 13

x = 7

Replace the equation the x in 5x - 2 to find angle 1, a straight line is 180 degrees so:

5x - 2 + ∠1 = 180

5(7) - 2 + ∠1 = 180

35 - 2 + ∠1 = 180

33 + ∠1 = 180

subtract 33 from both sides

∠1 = 147

Answer:

147

Step-by-step explanation:

(8x+1)+(5x-2)+90=180

add 5x + 8x and 1-2

13x-1+90=180

combine -1 and 90

13x+89=180

subtract 89 from both sides

13x=91

91÷13

=7

Then you want to solve for (5x-2)

plug in x (7)

5(7)-2

35-2

33

then subtract 33 from 180 to get angle one

180-33

=147

The quotient include the following: D. \(\frac{x(2x-3)}{7}\)

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce the following mathematical expression;

\(\frac{2x-3}{x} \div \frac{7}{x^2}\)

By rearranging the mathematical expression using the multiplication operation, we have:

\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)

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a) Total number of ways is:

∑ k=0⁸ (16 choose k) * (19 choose 3 - k) = 4,124,193

b) Total number of ways is:

2,884 × 2,365 = 6,824,860

c) Number of ways of balls distribution is simply:

(32 choose 16) * (16 choose 8) = 8,315,457,520

(a) In this case, we can distribute the red balls in the even-numbered boxes however we like, since we know that no odd box can be empty.

Once we have done that, we can use the stars and bars formula to distribute the remaining balls into the even boxes.

Let's say that the even-numbered boxes contain a total of k balls. Then we need to distribute 16 - k balls into 4 boxes, which can be done in (19 choose 3) ways using the stars and bars formula. So the total number of ways is:

∑ k=0⁸ (16 choose k) * (19 choose 3 - k) = 4,124,193

(b) In this case, we know that the odd boxes must have an odd number of balls and the even boxes must have an even number of balls. This means that we can only distribute the balls in the following ways:

Odd boxes: 1, 3, 5, or 7 balls

Even boxes: 0, 2, 4, 6, or 8 balls

Using the same stars and bars formula as before, we can compute the number of ways to distribute the balls in each case, and then multiply the results together. For the odd boxes, we have:

(16 choose 1) + (16 choose 3) + (16 choose 5) + (16 choose 7) = 2,884

For the even boxes, we have:

(16 choose 0) + (16 choose 2) + (16 choose 4) + (16 choose 6) + (16 choose 8) = 2,365

So the total number of ways is:

2,884 × 2,365 = 6,824,860

(c) In this case, we have 32 balls to distribute among the 8 boxes. We can distribute the red and green balls independently of each other, so the number of ways to distribute the balls is simply:

(32 choose 16) × (16 choose 8) = 8,315,457,520

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Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

Answer:

Step-by-step explanation:

4x maybe

Given the polynomial f(x)=x³+5x²+2x-8 and f(1)=0.

Factorization is the process of determining the components of a given value or mathematical statement. The integers that are multiplied to create the original number are known as factors. The components of 18 include, for instance, 2, 3, 6, 9, and 18, as well as;

18 = 2 x 9

18 = 2 x 3 x 3

18 = 3 x 6

In a similar way, the factors in the case of polynomials are the polynomials that are multiplied to create the original polynomial. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3. We can also locate the polynomials' zeros after factorization. Zeroes in this situation are x = -2 and x = -3.

2. Now, to write f(x) as the product of (x-1) and another factor.

x³+5x²+2x-8 = (x-1)(x²-6x+8).

3. Now, to write f(x) as the product of three linear factors.

x³+5x²+2x-8 = (x-1)(x²-6x+8)= (x-1)(x-4)(x-2)

4. Look at the sketch below.

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The base of the triangle is 9 inches and the height is 2 inches.

Let's denote the height of the triangle as h, and the base as b.

We know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Substituting the values we have:

9 = (1/2) * b * h

Multiplying both sides by 2 gives:

18 = b * h

We also know that the base is 5 inches more than 2 times the height:

b = 2h + 5

Substituting this expression for b in terms of h in the area equation, we get:

18 = (2h + 5) * h

Expanding the right-hand side, we get:

18 = 2h^2 + 5h

Rearranging this equation, we get:

2h² + 5h - 18 = 0

We can solve for h by using the quadratic formula:

h = [-b ± \(\sqrt{b² - 4ac}\)] / 2a

where a = 2, b = 5, and c = -18.

Plugging these values into the formula, we get:

h = [-5 ± \(\sqrt{5^{2} - 4(2)(-18) }\)] / (2 * 2)

Simplifying:

h = [-5 ± \(\sqrt{169}\)] / 4

Taking the positive solution:

h = [-5 + 13] / 4

h = 2

Now that we know the height is 2 inches, we can use the equation b = 2h + 5 to find the base:

b = 2(2) + 5 = 9

Therefore, the base of the triangle is 9 inches and the height is 2 inches.

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Answer:

A = 78 sq in

Step-by-step explanation:

Area of a triangle:

A = 1/2•b•h

= 1/2•26•6

= 78 sq in

Answer:

Step-by-step explanation:

10:20am

you have to 50-30=20

9:30 + :30=10:00

10:00+ :20 =10:20

Answer:

Hey there!

Sorry, but you are incorrect.

p(x)=7x+25

f(x)=2x^2+3

f(1)=2(1)^2+3, or 5.

p(5)=7(5)+25=60

Let me know if this helps :)

The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

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Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

The barn owl is not considered a biological indicator.

The barn owl (Tyto alba) is not typically classified as a biological indicator species. Biological indicators, also known as indicator species, are organisms that are used to assess the health and condition of an ecosystem. They are selected based on their sensitivity to environmental changes and their ability to reflect the overall ecological integrity of a particular habitat.

While barn owls play a role in the ecosystem as predators, their presence or absence alone does not provide sufficient information to serve as an indicator of environmental quality or specific ecological conditions. Instead, other organisms such as certain fish, amphibians, or insects may be used as biological indicators in various ecological assessments and monitoring programs. Therefore, the barn owl is not generally considered a biological indicator species.

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The figure can be divided into a triangle and a rectangle.

The area of a triangle is 10 sq inches.

The area of a rectangle is 80 sq inches.

The total area of the figure is 90 sq inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

The figure can be divided into a triangle and a rectangle.

The height of the triangle is 2 inches and the base is 10 inches.

We know the area of a triangle is (1/2)×base×heiht.

∴ Area = (1/2)×10×2 sq inches.

Area = 10 sq inches.

We know the area of a rectangle is length×width.

∴ Area = (10×8) sq inches.

Area = 80 sq inches.

The total area of the figure is (10 + 80) sq inches = 90 sq inches.

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Answer:

x = 16 or x = 26

Step-by-step explanation:

(x – 21)² = 25

Expand

(x – 21)(x – 21) = 25

x² – 21x – 21x + 441 = 25

x² – 21x – 21x + 441 – 25 = 0

x² – 42x + 416 = 0

We shall solve by Factorisation method as shown below:

x² – 42x + 416 = 0

Multiply the first term, x² and the last term, 416 together. The result is 416x².

Find two factors of 416x² such that the sum of the factors will result to the 2nd term, – 42x in the expression above.

The factors are – 26x and – 16x.

Now, replace the 2nd term, – 42x with – 26x and – 16x. This is illustrated below:

x² – 42x + 416 = 0

x² – 26x – 16x + 416 = 0

Factorise

x(x – 26) – 16(x – 26) = 0

(x – 16)(x – 26) = 0

x – 16 = 0 or x – 26 = 0

x = 16 or x = 26

Therefore, the solutions to the equation (x – 21)² = 25 are 16 and 26.

Answer:

y=5

x= -2/5

m= -96

t= 5/3

b= 20/3

x=3.5

Answer:

Step-by-step explanation:

How to find the area of a parallelogram = Base x Height

= 10cm x 6cm = 60cm^2

The cost of an adult ticket is Rs 1170 using equations.

A mathematical statement known as an equation shows the equality of two mathematical expressions.

Mathematical algebraic equations typically have one or more variables.

Let the cost of an adult ticket be x.

Given that each child costs Rs 520 less than an adult ticket.

Then, the cost of a child ticket = x - 520.

The total cost of bus tickets for 2 adults and 4 children = Rs 4940

So,

2x + 4(x-520) = 4940

⇒2x + 4x - 2080 = 4940

⇒6x = 7020

⇒x = 1170

Therefore, the cost of adult ticket is Rs 1170.

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Answer:

answer is d

Step-by-step explanation:

Answer:

−42+15+31−6

Step-by-step explanation:

Combine the terms

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given equation.

STEP 2: Find the solutions to the statement

First splitting the equation into two, we have:

STEP 3: Find the solution to the second equation

By substitution,

Hence, the solutions to the statement are:

Answer:

\(\left(\dfrac{11}{4},-\dfrac{57}{8}\right)\)

Step-by-step explanation:

\(f(x) = 2x^2 - 11x +8\)

Quickest way is to differentiate the function, equate it to 0, solve for x, then substitute value of x into original function to find y:

\(f'(x)=4x-11\)

         \(f'(x)=0\)

\(\implies 4x-11=0\)

\(\implies x = \dfrac{11}{4}\)

\(f(\frac{11}{4}) = 2(\frac{11}{4})^2 - 11(\frac{11}{4}) +8=-\dfrac{57}{8}\)

The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

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Answer:

The base is 12ft

True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.

When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.

By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.

Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.

Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.

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The average speed required to reach the concert in time is 61 miles per hour.

The average speed required to reach school in time is 27.567 miles per hour.

What is the average speed?

The average speed of an object is defined as the total distance travelled by an object in a particular interval of time or average time. Mathematically, average speed = total distance / total time taken. Its SI unit is m/s.

Calculation of the average speed

We are given that a concert starts in 5 hours and is 305 miles away from the house, i.e. time = 5 hours and distance  305 miles

Then the average speed in miles per hour is given by total distance / total time

Average speed = 305 / 5

= 61 miles per hour

Further, the time taken to reach school is 37 minutes which when converted to hours becomes 37 / 60 hour

The distance between school and home is 17 miles

So, the average speed = total distance / total time

= 17 / (37 / 60)

= (17 × 60) / 37

= 27.567 miles per hour

Hence, the average speed required to reach the concert in time is 61 miles per hour.

The average speed required to reach school in time is 27.567 miles per hour.

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Answer:

A commercial fisherman is  

EQUALLY LIKLEY

to need health insurance than a supermarket employee.

A person who smokes is  

MORE LIKLEY

to need health insurance than a nonsmoker.

An 18-year-old male college student is  

LESS LIKLEY

to need health insurance than a 72-year-old retired female.

An 18-year-old male college student is "less likely" to need health insurance than a 72-year-old retired female.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

We have been given probabilites related to different circumstances and need to health insurance.

Therefore, we have the following terms;

A commercial fisherman is "equally likely" to need health insurance than a supermarket employee.

A person who smokes is "more likely "to need health insurance than a nonsmoker.

An 18-year-old male college student is "less likely" to need health insurance than a 72-year-old retired female.

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Answer:

A.

Step-by-step explanation:

This is a 4th degree polynomial. The function has two roots at x = 0, and two more roots at x = -2 and x = 2. Since the two roots at x = 0 are just one number, the function has three distinct real roots.

Answer: A.