15 points help please!!

The number of different ways to arrange 7 video games is  = 7!

The question requests for the number of arrangements; That means we're dealing with permutation

the number of video games is 7;

To arrange 7 games, we make use of the following permutation formula;

\(^{n}P_{n} = \frac{n!}{(n-n)!}\)

So, we have

n=7

No. of ways we can arrange is = \(\frac{7!}{(7-7)!}\) = 7!

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The given confidence level is 95%. Thus, the level of significance is 5%. Now, let us determine the z-value for a level of significance of 5%. For a two-tailed test, the level of significance is divided between the two tails. So, the tail area is 2.5% or 0.025.

Using the normal distribution table, the z-value corresponding .Then the 95% confidence interval is calculated as below : Lower limit, Upper limit, So, the 95% confidence interval for the mean rupture stress is Given that the desired amplitude is the same as that in part (a), we need to determine the required sample size for a 99% confidence interval.

The level of significance for a 99% confidence interval is 1% or 0.01. Since it is a two-tailed test, the tail area is 0.5% or 0.005. Then the z-value corresponding to Using the formula for the margin of error, we can write:Margin of error = z(σ/√n)where n is the sample size. Substituting these values in the formula, Rounding off to the nearest whole number, we get n = 71. Therefore, the sample size should be 71 to obtain a 99% confidence interval with an amplitude equal to that in part (a).

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Using the concept of Application of Derivatives(A.O.D),we got 4.79 inches will be the square size for making the volume of candy box maximum.

A candy box is made from a piece of a cardboard that measures 43 × 23 inches.

Let squares of equal size will be cut out of each corner with the measure of x inches.  

Therefore, measures of each side of the candy box will become

Length = (43 - 2x)

Width   = (23 - 2x)

Height  = x

Now we have to calculate the value of x for which volume of the box should be maximum.

Volume (V) = Length×Width×Height

 =>V = (43 -2x)×(23 - 2x)×(x)

 =>V= [(43)×(23) - 46x - 86x + 4x²]×x

 =>V= [989 - 132x + 4x²]×x

 =>V= 4x³- 132x² + 989x

Now we find the derivative of V and equate it to 0

\(\frac{dV}{dx}\)= \(12x^{2} -264x+989\)=0

Now we get values of x by quadratic formula

x=(264±\(\sqrt{264^{2}-4.12.989 }\) )/24

=>x=(264±\(\sqrt{69696-47472}\))/24

=>x=(264+√22224)/24, and x=(264-√22224)/24

=>x=(264+149.07)/24 and x=(264-149.07)/24

=>x=17.212                  and x=4.79

Now we test it by second derivative test for the maximum volume.

\(\frac{d^{n}V }{dx}\)=24x-264

For x = 17.212

\(\frac{d^{n}V }{dx}\)=(24×17.212)-264=413.088-264=149.088

This value is > 0 so volume will be minimum.

For x = 4.79

\(\frac{d^{n}V }{dx}\)=(24×4.79)-264= -149.04

-149.04 < 0, so volume of the box will be maximum.

Therefore, for x = 4.79 inches volume of the box will be maximum.

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(Complete Question) is

A candy box is made from a piece of cardboard that measures 43 by 23 inches. Squares of equal size will be cut out from  each corner. The sides will then be folded up so that to form a rectangular box. What size square should be cut from each corner so that to obtain maximum​ volume?

Gabriela will claim $54550 as her taxable income.

The correct option is A.

Subtraction is a mathematic operation. Which is used to remove terms or objects in the expression.

Given:

Gabriela made $58,750 last year.

She paid $1200 in student loan interest and made a $3000 contribution to her IRA.

That means,

58750 - 1200 - 3000

= 54550

$54550 is the taxable income.

Hence, the taxable income is $54550.

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Answer:

f(1) = 2

Step-by-step explanation:

To find f(1), substitute x = 1 into f(x), that is

f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2

The average rate of change is 19   3 ≤19 ≤15

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There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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Error is the difference between the observed value and the true value of a measurement. Absolute error is the absolute value of the difference between the observed value and the true value of a measurement.

Error is an undesirable or unexpected result that occurs when a program, system, or device does not perform as expected. Errors can be caused by hardware or software faults, or by user error. Common errors include syntax errors, runtime errors, and logic errors.

Absolute error is a measure of how far a measured value is from the true or accepted value. It is the difference between the measured value and the accepted value, and is expressed either as a positive or negative number.

For example, if the calculated mass of an object is 10 kilograms, but the true mass is 8 kilograms, then the absolute error is 2 kilograms.

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D. At the end of 20 years, the policy's cash value will equal $100,000 is INCORRECT regarding a $100,000 20-year level term policy.

A $100,000 20-year level term policy is a type of life insurance policy that provides a fixed amount of coverage for a set period of time. The premiums for this policy will remain level for the entire 20 years and, if the insured dies during that time, the beneficiary will receive the full $100,000. However, the policy will expire at the end of the 20-year period and the cash value will not equal the $100,000. As a result, it is untrue to say that $100,000 will be the policy's cash value after 20 years.

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Answer:China will have 2.2 Billion

Step-by-step explanation:

1.39(1.0060+A-*= 0.6

Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

Answer:We know that the area of a rectangle is represented by the product of its length and width, so the equation for the area of the rectangle is:

A = l * w

We also know that the area of the rectangle is given as 32X^3 and the length of the rectangle is 4X. Therefore, we can substitute these values into the equation:

32X^3 = (4X) * w

To find the width of the rectangle, we can divide both sides of the equation by 4X:

w = 32X^3 / 4X

Simplifying the equation, we can get the value of w:

w = 8X^2

So the width of the rectangle is 8X^2

Step-by-step explanation:

The values of the given Binomial coefficients are,

C(8,4)  = 70

C(12,7) = 792

C(12,8) = 495

C(11,1) = 11

C(10,9) = 10

C(8,6) = 28

Binomial coefficients, also known as combinations, are used to calculate the number of ways to choose a subset of k elements from a set of n elements. They are denoted by C(n,k) or n choose k, and can be calculated using the formula:

C(n,k) = n! / (k! * (n-k)!)

where n! denotes the factorial of n, or the product of all positive integers up to and including n.

Using this formula, we can find the value of each of the given quantities:

C(8,4) = 8! / (4! * (8-4)!) = 70

C(12,7) = 12! / (7! * (12-7)!) = 792

C(12,8) = 12! / (8! * (12-8)!) = 495

C(11,1) = 11! / (1! * (11-1)!) = 11

C(10,9) = 10! / (9! * (10-9)!) = 10

C(8,6) = 8! / (6! * (8-6)!) = 28

In words, these values represent the number of ways to choose k elements from a set of n elements. For example, C(8,4) represents the number of ways to choose 4 elements from a set of 8 elements, which is 70.

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Answer:

the answer is 12 degrees

The measure of angle ACB when the secant BC and the tangent AC intersect is 12°

When a secant and a tangent meet outside the circle, thwe product of the length of the secant and its external segment equals the square of the length of the tangent segment.

Therefore,

arc XA = 2(64) = 128 degrees.

Hence,

m∠C = 1 / 2 (152 - 128)

m∠C = 1 / 2 (24)

m∠ACB = 12°

Therefore, angle ACB is 12 degrees.

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The single biggest factor accounting for how people decide to vote is difficult to pinpoint with certainty as it can vary depending on the individual and the specific election.

The single biggest factor accounting for how people decide to vote is often considered to be their "party identification." Party identification refers to the political party that an individual feels a strong affiliation with, and it plays a significant role in shaping their voting choices.

People typically vote for candidates from the party they identify with, as they believe that party best represents their values and interests.

However, research suggests that factors such as political party affiliation, candidate's perceived competence and charisma, their stance on important issues, and their past track record can all play a significant role in how people decide to vote.

                              Additionally, external factors such as media coverage and political advertisements can also influence voter decisions. Ultimately, the decision to vote is complex and multifaceted, and can be influenced by a variety of factors.

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a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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the exponential model predicts 6,000 more purchases than the linear model 5 weeks after the advertising campaign begins.

What is exponential?

The exponential function is a mathematical function that is useful for determining exponential growth or decay. As its name suggests, the exponential function involves exponents. However, it's important to note that an exponential function does not have a variable as its exponent and a constant as its base. If a function has a variable as the base and a constant as the exponent, then it is a power function, not an exponential function.

For the linear model, we can simply substitute x = 5 into the equation P = 2,000x:

P = 2,000(5) = 10,000

Therefore, the linear model predicts that there will be 10,000 purchases 5 weeks after the advertising campaign begins.

For the exponential model, we can substitute x = 5 into the equation P = 500(2^x):

P = 500(2^5) = 500(32) = 16,000

Therefore, the exponential model predicts that there will be 16,000 purchases 5 weeks after the advertising campaign begins.

The difference in predicted purchases between the two models 5 weeks after the advertising campaign begins is:

16,000 - 10,000 = 6,000

Therefore, the exponential model predicts 6,000 more purchases than the linear model 5 weeks after the advertising campaign begins.

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Answer: $27.89

Step-by-step explanation:

Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.

Thus, 80×0.9^10 = 27.89

Answer:

-7.5

Step-by-step explanation:

I used a calculator

Step-by-step explanation:

- and - makes a + the result will be positive

and now you just do 15.7-8.2=7.5

Area for a rectangle -> A=WL

Let's derive the equation A

If W=250, we have

Finally, the area

Answer:

Step-by-step explanation:

i² = (-1)

\(\sqrt{-20} =\sqrt{20i^{2}}\\\\=\sqrt{2*2*5*i^{2}}\\\\=2i\sqrt{5}\)

From the above expression we get,

=》x + y = 7 - [1]

=》3x - 2y = 11 - [2]

now, let's solve :

multiplying [1] by 3

=》3x + 3y = 21

=》 3x - 2y = 11

subtracting

now, subtracting [2] from [1]

=》3x + 3y - 3x + 2y = 21 - 11

=》5y = 10

=》y = 2

now, plugging the value of y as 2 in equation [1]

=》x + y = 7

=》x + 2 = 7

=》x = 5

So, value of :

The probability that the card is either a jack or a heart is 17/52.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

A deck of cards contain 4 jacks, and 13 heart cards.

The probability the card is a jack = 4 / 52

The probability the card is a heart = 13/52

The probability that the card is either a jack or a heart is:

P = 4/52 + 13/52

P = 17/52

Hence, the probability that the card is either a jack or a heart is 17/52.

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Answer:

ABC  = 27

DBC  = 56

Step-by-step explanation:

ABC + CBD = ABD

x+10 + 4x-12 = 83

Combine like terms

5x -2 = 83

Add 2 to each side

5x-2+2 = 83+2

5x = 85

Divide each side by 5

5x/5 = 85/5

x =17

ABC = x+10 = 17+10 = 27

DBC = 4x-12 = 4*17 -12 = 68-12 = 56

Answer:

Angle ABC = 27°

Angle DBC = 56°

Step-by-step explanation:

So we have to set an equation first.

x + 10 + 4x - 12 = 83

This simplified = 5x - 2 = 83

--> 5x = 85

so x = 17

Plug it in to the formula for ABC and DBC

ABC = x + 10

17 + 10 = 27

ABC = 27

DBC = 4x - 12

68 - 12

DBC = 56

Thus, we have our 2 answers.

Hope this helps!

If someone says they will meet you again in 31 days on a Monday, then that meeting would occur on a week day of Thursday. so, the correct answer is E).

To determine the day of the week that is 31 days from a Monday, we can use the fact that there are seven days in a week. Since 31 is not evenly divisible by 7, we cannot simply add or subtract a certain number of days to find the day of the week.

Instead, we must use modular arithmetic. Specifically, we can take the remainder of 31 divided by 7, which is 3. This means that after 31 days, we will be three days ahead of Monday, so the day will be Thursday. Therefore, the day of the week that is 31 days from a Monday is Thursday. So, the correct option is E).

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Answer:

a)

\(a=23-z\)

b)

First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.

Step-by-step explanation:

a) Solving the equation

Given the expression

\(2\left(z+a\right)=46\)

Divide both sides by 2

\(\frac{2\left(z+a\right)}{2}=\frac{46}{2}\)

simplify

\(z+a=23\)

subtract z from both sides

\(z+a-z=23-z\)

\(a=23-z\)

Thus, the value of a:

\(a=23-z\)

b) Work Process

First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.

The interquartile range of the data decreases when the eighth day's amount is included in the data is true.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Joanna set a goal to drink more water daily.

The number of ounces of water she drank each of the last seven days is

60, 58, 64, 64, 68, 50, 57

On the eighth day, she drinks 82 ounces of water.

Raw data:      [60,58,64,64,68,50,57,82],

Sorted data:  [50,57,58,60,64,64,68,82]

Sample size = 8 (even)

mean  = 62.875

median  = (60+64)/2 = 62

1st quartile   = (57+58)/2 = 57.5

3rd quartile  = (64+68)/2 =  66

IQR = 66 - 57.5 = 8.5

Data without the eight day's measurement.

Raw data:      [60,58,64,64,68,50,57]

Sorted data:  [50,57,58,60,64,64,68]

Sample size = 7 (odd)

mean            = 60.143

median         = 60

1st quartile   = 57

3rd quartile = 64

IQR = 64 -57 = 7

Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.

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Answer: It's just

The interquartile range of the data decreases when the eighth day's amount is included in the data.

Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.

Answer:

The answer is y = 3x + 3.

Step-by-step explanation:

Hope it helped!