a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees. in how many ways can this company buy them?. show all your work step by step to get credit. final answers must be provided in decimal form

Gail's friends does not reject the null hypothesis.

What is null and alternate hypothesis?

Statisticians test hypotheses using null and alternate hypotheses. The alternative hypothesis of a test states your research's prediction of an effect or relationship, whereas the null hypothesis of a test consistently predicts no effect or no relationship between variables.

Given:

H0: p = 0.4

Ha: p ≠ 0.4

Gail uses a level of significance of α = 0.05, she does not reject the null hypothesis.

Therefore the p-value she obtained is greater than 0.05

Andrew uses a level of significance of α = 0.1

Since from given information we can not say if p value is > 0.1 or less, hence

it is impossible to tell from the information given.

Ben uses α = 0.01

Since p-value  is greater than 0.05 hence definitely greater than 0.01

Hence, Gail's friends does not reject the null hypothesis.

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Complete question:

Gail is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alternative hypotheses are: H0: p = 0.4 Ha: p ≠ 0.4 Gail is given a sample and calculates the test statistic. Using a level of significance of α = 0.05, she does not reject the null hypothesis. Gail's friends, Andrew and Ben, also use the sample to calculate a test statistic. However, they differ in the level of significance they use. Andrew uses a level of significance of α = 0.1, while Ben uses α = 0.01. All three students perform their calculations correctly. For each of Gail's friends, select whether or not they reject the null hypothesis, or whether it is impossible to tell from the information given.

The correct statement regarding how can a translation and a rotation be used to map triangle HJK to triangle LMN is given as follows:

The translation just changes the position of the figure, hence it has to be among equivalent vertices of the triangles.

The equivalent vertices are given as follows:

The equivalent sides are given as follows:

HK and LN.

Thus the rotation is about K until HK lies on the line containing LN, and the third option is correct.

The problem is given by the image shown at the end of the answer.

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Answer:

x = - 5 , x = 7

Step-by-step explanation:

to find the zeros, let y = 0 , that is

x² - 2x - 35 = 0

consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

the factors are - 7 and + 5 , since

- 7 × + 5 = - 35 and - 7 + 5 = - 2 , then

x² - 2x - 35 = (x - 7)(x + 5) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

1. ZX ≅WY; WXYZ is a parallelogram.           1. Given

2. ZY≅  WX                                                     2. The opposite sides of the                

                                                                      parallelogram are ≅  

There are 4 different kinds of parallelograms, including 3 unique kinds. The four types are rhombuses, squares, parallelograms, and rectangles.

There are not equal sides on a parallelogram. A parallelogram only has equal sides on its opposite sides.

A line segment bisector splits a line segment into two equally sized pieces. It passes through the segment's halfway.

The following justifications are given for the choice made above:

The following is how the two-column proof is presented.

Statement Motive

1. ZX ≅WY; WXYZ is a parallelogram.           1. Given

2. ZY≅  WX                                                     2. The opposite sides of the parallelogram are ≅

3. YX ≅ YX                                                   3. The reflexive quality

4. Δ ZYX ≅ΔWXY                                      4. The SSS thm.

5 . ∠ZYX ≅ ∠WXY                                       5 . CPCTC

6  . m∠ZYX ≅m∠WXY                                 6. Def. of ≅

7.    m∠ZYX + mWXY equal 180°        7. Parallelograms with consecutive s are additional

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The entry to record this payment when the company’s estimated taxes for the first quarter total $50,000 will be:

Debit Income taxes payable $50000

Credit Cash $50000.

A journal is a book in which all of a company's transactions are recorded for the first time. Journaling is the process of recording transactions in a journal. Every transaction has two effects: one is debited and the other is credited.

The act of keeping or making records of any transaction, economic or non-economic, is referred to as a journal entry. An accounting journal, which shows a company's debit and credit balances, records transactions. The journal entry may include multiple recordings, each of which is either a debit or a credit. A journal entry's purpose is to physically or digitally record every business transaction properly and accurately.

The journal entry based on the information is illustrated.

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Hypothesis testing is the process used to evaluate the strength of evidence from sample and provides a framework for making determinations related to the population i.e. it provides a method for understanding how reliably over can extrapolate observed findings in a sample under study to the larger population from which the sample was drawn.

After a performing a test, scientist can: Reject the null hypothesis or Fail to reject the null hypothesis.

Hypothesis testing is an act in statistics whereby an analyst tests an assumption regarding a population parameter.Hypothesis testing is used to assess the plausibility of a hypothesis by using sample data. Such data may come from a larger population, or from a data-generating process.

The null hypothesis is usually a hypothesis of equality between population parameters. Hypothesis testing is a procedure, based on sample evidence and probability, used to test claims regarding a characteristic of a population.

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 The region that lies inside the cylinder between the planes z = −2 and

z = 5 is 324π

Using cylindrical coordinates,

the integral becomes

∫∫∫ (r2) drdθdz, E

where E is the region that lies inside the cylinder r2 = 9 and between the planes z = −2 and z = 5.

The integral can be evaluated as follows:

=  ∫₋₂⁵∫₀²π∫₀³ [tex]r^2[/tex]drdθdz

= ∫₋₂⁵∫₀²π(3[tex]r^3[/tex]/3) dθdz

=  ∫₋₂⁵ (2π × (3 × 93/3)) dz

=  ∫₋₂⁵ (108π) dz

= (108π × (5 − (−2)))

= 324π

The region that lies inside the cylinder between the planes z = −2 and

z = 5 is 324π

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The expressions is equivalent to z + z+z + z would be 4z. so option A is correct.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

Given expression

z + z+z + z

All the terms are like terms, by adding all of them

z + z+z + z

= 4z

Thus, The expressions is equivalent to z + z+z + z would be 4z. so option A is correct.

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After solving the given equations the value obtained for x and y will be equal to 2 and 14 respectively.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The given equations are:

y = 9x - 4 and,

y = -2x + 18

Equate both equations,

9x - 4 = -2x + 18

9x + 2x = 18 + 4

11x = 22

x = 2

Substitute x = 2 in the first equation,

y = 9x - 4

y = 9(2) - 4

y = 14

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Answer: x=30

Step-by-step explanation:

There's a 90-degree angle given so first do 360-90= 270 which is the retainer of the measures. Then 4x+5x = 9x  so 9x=270

So 270 divided by 9 and 9x divided by 9, to get the x by itself

which equals 30.

Answer: 20

Step-by-step explanation: If you look at how 4 got to 8 you multiplied it by two, so therefore, you multiply 10 by 2 also to get twenty.

Answer:

Step-by-step explanation

if in triangle 1 it’s four and its 8 in the 2nd one

multiply each number on the first triangle

f-e 20

Hurdle rate is 55%.

Ellon aeronautics has an ROI of 8% based on revenues of $30,000. the expenses residual income is $27,000 and the investment turnover is 1.5. The hurdle rate is 55%.

Investment

Investment Mathematics provides an introductory analysis of investments from a quantitative viewpoint, drawing together many of the tools and techniques required by investment professionals.    

Residual Income

Residual income is calculated as net income less a charge for the cost of capital. This is known as the equity charge and is calculated as the value of equity capital multiplied by the cost of equity or the required rate of return on equity. The formula is: Residual Income = Net Income - Equity Charge    

The investment turnover using this formula

Investment turnover=Sales/invested capital

Investment turnover = ($27000 / $30,000) × 1.5

Investment turnover = 0.9 × 1.5

Investment turnover =1.35

The hurdle rate using this formula

Hurdle rate = ROI - Investment turnover

Hurdle rate = 8 - 1.35

Hurdle rate = 0.55 × 100

Hurdle rate = 55%

Therefore the hurdle rate is 55%.  

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Answer:

Step-by-step explanation:

slope intercept is y=mx+b

y+4=2(x-3)

y=2(x-3)-4

y=2x-6-4

y=2x-10

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The solution set is x ≤ 0.4.

The graph of the solution is

<-----__-1.5__-1__-0.5__0__0.5__1__1.5------>

                      <------------------o

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

8(12 - 4x) ≥ 82

96 - 32x ≥ 82

96 - 82 ≥ 32x

14 ≥ 32x

x ≤ 14/32

x ≤ 7/16

x ≤ 0.4

This can be graphed using a number line.

<-----__-1.5__-1__-0.5__0__0.5__1__1.5------>

                      <------------------o

Thus,

The solution set is x ≤ 0.4.

The graph of the solution is given above.

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Answer:

27 vidoe are actions adventure.

Step-by-step explanation:

1005 would we all of the vidoes.  100% - 40 % = 60%

60% is the same as .6

.6 x 45 = 27

Answer:

--------------------------------------

40% of 45 DVD's are comedies.

It is in number:

The rest are action-adventures:

The measure of the central angles of the circle are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = 180°

In this problem we find a geometric system formed by a circle, two parallel lines and two additional lines that intersect each other at the center of the circle. Then, the angles DOC, COB, AOB and DOB are central angles of the circle such that:

m ∠ DOC + m ∠ COB + m ∠ AOB + m ∠ DOB = 360°

Then, by direct inspection, we find that the measures of the central angles are, respectively:

m ∠ BOC = 60°

m ∠ COD = 120°

m ∠ AOD = 60°

m ∠ AOB = 120°

m ∠ DOB = m ∠ COD + m ∠ BOC = 120° + 60° = 180°

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Answer:

36x⁵ y² ÷ w¹

= 36x⁵ y² w⁻¹

Thus, The simplified form is 36x⁵ y² w⁻¹

The statement that the author used figurative language so that the reader can better understand the color of the water is True.

When an author uses figurative language, they use a language, which deviates from the usual order and meaning of words in order to convey a complex meaning, colorful writing, clarity, or evocative comparison.

An example of figurative language is a similie which is when the words " as " and " like " are used to compare two things so that the reader can understand. The author did this by saying the pool was as blue as the sky.

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The top five percent of the distribution's lowest weight as calculated from the given data  for a bag is 246.

Average population = 240

Standard deviation for the population; 3

Z-score can be calculated as ,

z = (x' - μ)/σ

Now, in order to determine which of the top 5 values in the distribution has the least weight, we will use the significance threshold of 1 - 0.05/2 = 0.025.

Z-score is 1.96 at significance level 0.025.

Thus;

1.96 = (x' - 240)/3

3 × 1.96 = x' - 240

x' = 240 + 5.88

x' = 245.88

Getting close to a whole number results ,

x' = 246

The two z-score tables are as follows:

Positive Z Score Table: The observed value is greater than the average of all values.

An observed value that is below the mean of all values is shown by a negative Z score table.

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There are 19 members from 00 to 18 who do not equal 18.

There are 19 members from 19 to 37 who do not equal 18.

There are 3 members in the age range of 38 to 40, not 2.

Given info,

Explain what is wrong with each of the following simulation designs.

⇒ A roulette wheel has 38 colored slots - 18 red, 18 black members green. To simulate one spin of the wheel, let members 00 to 18 represent red, 19 to 37 represent members and 38 to 40 represent green.

The mistake is;

→ There are 19 member from 00 to 18 which is not 18.

→ There are 19 member from 19 to 37 which is not 18.

→ There are 3 member from 38 to 40 which is not 2.

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Answer:

14

Step By Step

22/4= 5.5 77/5.5= 14

The division of 4 by 6 will be 2/3 or 0.67.

We have the following expression -

4 ÷ 6

We can write -

[x] = 4 ÷ 6

We can write -

4 ÷ 6 = 4/6 = 2/3 = 0.67

Therefore, the division of 4 by 6 will be 2/3 or 0.67.

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Answer:

y=(1/2)x-1

Step-by-step explanation:

Since you know that this line is perpendicular to the given equation, you also know that the slope of the line will be the opposite reciprocal to that of the given equation. Therefore:

slope= 1/2

Now, since you also know that the lines intersect at the point (-4,2), you just have to plug these numbers into the x and y in the equation to solve for b.

(2)=(1/2)(-4)+b

b=-1

Therefore, the equation is

y=(1/2)x-1

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

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For two-sample t-tests, results cannot be compared between studies. The test statistic is given, as well as a p-value. This test is also known as a matched sample or paired t-test. It is assumption of normal distribution.

The paired-samples t-test, also known as the dependent-samples t-test, is a statistical technique used to determine whether the mean difference between two sets of observations is zero. In a paired-samples t-test, each subject or entity is measured twice to obtain a pair of observations. Common uses of the paired-samples t-test are case-control studies or repeated measures designs.

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range and the rest decrease symmetrically toward one extreme. The middle of the range is also called the mean of the distribution.

The normal distribution is also known as the Gaussian distribution or probability bell curve. It is symmetrical about the mean, indicating that values ​​close to the mean occur more frequently than values ​​far from the mean.

Assumption:

The Normalization Assumption is cautioned because so many experiments are based on the assumption of a normal distribution. is required. In most cases, the assumption of normality makes sense.

However, there is an important special case where this is not the case. Understanding the normal distribution assumptions helps researchers understand the limitations of their experiments and understand their own research and where it went wrong.

The assumption of normal distribution can be relaxed in some situations, but the analysis is more complicated. The simplest analysis is obtained when the physical process can be approximated by a normal distribution. However, even if the distribution is non-normal, it retains some basic properties. For example, you can assume symmetry, such as the t distribution, even if the distribution is not truly normal.

In fact, many different non-normal distributions are just variations of the normal distribution. For example, there are distributions with long tails that represent variations in a normal distribution. Such distributions are also common.

The reason for the normal distribution assumption is that it is usually the simplest mathematical model available. Moreover, it is remarkably ubiquitous, found in most natural and social phenomena. So the assumption of normality is usually a good first approximation.

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Considering the depreciation rate of 11%, the value of car is $11800 in 4.1 years.

Depreciation is the reduction in the value of an asset over time due to wear and tear, age, or obsolescence.

The most basic and widely used method of calculating depreciation is Annual depreciation = (Cost of asset - Salvage value) / Useful life

To find the time it will take for the value of the car to depreciate to $11,800, we can set up the following equation:

24900 - 11800 = 11000

24900 * .11 = 2679

11000 / 2679 = 4.09 years

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The probability is 0.8427.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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It is not possible to determine the area of square 3 based on the information given. The area of a square is determined by its side length, which is not mentioned in the problem. In order to find the area of a square, you need to know the length of at least one side. The perimeter of a square, which is the total length of all its sides, is not sufficient to determine the area of the square. You would need to know the side length of square 1 in order to calculate its area.

Answer:400

Step-by-step explanation:

1. The number of baseball cards from Gene is 321.

2. An equation that represents finding the number of baseball cards that come from Gene is g = 758 - a.

An equation is a mathematical statement that shows the equality of two or more mathematical expressions.

Equations are solved to solve mathematical problems with unknown variables, combining numbers and variables with mathematical operands.

We depict equations using the equation symbol (=).

The total number of baseball cards with Aaron and Gene = 758

The number of cards from Aaron, a = 437

The number of cards from Gene = g

g = 758 - a.

= 758 - 437

= 321

Thus, using the above equation, we can use the subtraction operation to find that Gene brought 321 baseball cards.

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