Choose the correct answer below. A. Bar charts that are sorted from most frequent to least frequent B. Histograms that are sorted from least frequent to most frequent C. Bar charts that are sorted from least frequent to most frequent D. Dotplots that are sorted from most frequent to least frequent

The intervals on which function f(x) = sin x -1 increasing or decreasing is (0, π/2) (B).



The given function is f(x) = sin x -1, 0 < x < 2 π.

A sinusoidal function is a function that can be written in the form f(x) = a sin(bx + c) + d or f(x) = a cos(bx + c) + d, where a, b, c, and d are constants.

The graph of the given function is a sine curve shifted downward by 1 unit.

The function is increasing on the interval (0, π/2) because the slope of the curve is positive on this interval.

The function is decreasing on the interval (π/2, 3π/2) because the slope of the curve is negative on this interval.

The function is increasing again on the interval (3π/2, 2π) because the slope of the curve is positive on this interval.

Therefore, the correct answer is option B. (0, π/2).

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Answer:

6 + -15? That does equal -9.

Answer:

21.6 hours

Step-by-step explanation:

Hypothesis testing allows to identify a event test. The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The principal tests the hypothesis with a mean of 21.6 hours for the determination of average amount of time spent watching television.

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Standard deviation = √ {(xi – x)^2 / (n-1)}

here (xi – x)^ 2 means variance and n is sample size .

so we can say

Standard deviation = √{ (variance / sample size – 1 )}

here variance is 64.58 and sample size is 26 is given.

So stand deviation = √{64.58 / (26-1)}

standard deviation =0.32144673

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the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Standard deviation = √ {(xi – x)^2 / (n-1)}

here (xi – x)^ 2 means variance and n is sample size .

so we can say

Standard deviation = √{ (variance / sample size – 1 )}

here variance is 64.58 and sample size is 26 is given.

So standard deviation = √{64.58 / (26-1)}

standard deviation = 0.32144673

Therefore, the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.

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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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Answer:

$2.00

Step-by-step explanation:

$45.00 ÷ $3.60 = 12.5

$25.00 ÷ 12.5 = $2.00

Answer:

x = 8

Step-by-step explanation:

6x - 3 = 5x + 5

Move variable to the left hand side and change their sign.

Calculate like terms.

Move constant to the right hand side and change their sign.

Check our answer :-

6x -3 = 5x + 5

plug the 8 as x.

LHS = RHS

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

The average rate of change is increasing over this interval.

To find the average rate of change of the function f(x) = x^2 + 3 from x = 0 to x = 4, we can use the formula:

average rate of change = [f(4) - f(0)] / [4 - 0]

Substituting the values of x = 0 and x = 4 into the function f(x), we get:

f(0) = 0^2 + 3 = 3

f(4) = 4^2 + 3 = 19

So, the average rate of change of the function from x = 0 to x = 4 is:

average rate of change = [f(4) - f(0)] / [4 - 0] = (19 - 3) / 4 = 4

This means that the function increases at an average rate of 4 units per unit change in x from x = 0 to x = 4.

Since the average rate of change is a constant value, the function f(x) = x^2 + 3 has a constant rate of increase from x = 0 to x = 4.

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A: The smallest increment on the voltmeter will be 10V.

B: The uncertainty of the voltmeter will be ±5V.

The device used to measure the electric potential differential between two points in an electric circuit is called a voltmeter. It is linked simultaneously. It typically has a large resistance so that it uses very little circuit current. Microvolts or less can be measured by meters that use amplification. Digital voltmeters use an analog-to-digital converter to show voltage as a numerical value.

Voltmeters come in a broad variety of designs, some powered separately and others directly from the source of the voltage being measured. Generators and other fixed equipment are monitored by instruments that are permanently installed in a panel.

The accuracy of a digital multimeter (DMM) is typically stated as a percentage of the measurement rather than the full scale reading. An actual value of 100.0V will be read as something between 99.0V and 101.0V by a metre with a specification of 1% of the measurement. A range of digits to the right of the percentage is also typically included in manufacturer specs, for example, (1%+2digits). This illustrates the number of counts that the last figure on the right can change.

In the given question,

A: The smallest increment = 100/(number of splits in the section)

                                            = 100/10 = 10V

B: The uncertainty Δx = smallest increment/2

                                    = 10/2= 5V

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the number of one-to-one functions f from the set {1, 2, . . . , 2n} to the set {1, 2, . . . , 2n} so that f(x)\neqx for all 1 ≤ x ≤ n and f(x) = x for some n+1 ≤ x ≤ 2n is n(2n-1-n)(2n-2)!.

We can approach this problem using the principle of inclusion-exclusion. Let A be the set of all one-to-one functions from {1, 2, . . . , 2n} to itself, B be the set of all one-to-one functions that fix at least one element in {n+1, n+2, . . . , 2n}, and C be the set of all one-to-one functions that fix at least one element in {1, 2, . . . , n}. We want to count the number of functions in A that are not in B or C.

The total number of one-to-one functions from {1, 2, . . . , 2n} to itself is (2n)!.

To count the number of functions in B, we can choose one element from {n+1, n+2, . . . , 2n} to fix, and then permute the remaining elements in (2n-1)! ways. There are n choices for the fixed element, so the number of functions in B is n(2n-1)!.

Similarly, the number of functions in C is n(2n-1)!.

To count the number of functions in B and C, we can choose one element from {1, 2, . . . , n} and one element from {n+1, n+2, . . . , 2n}, fix them both, and permute the remaining elements in (2n-2)! ways. There are n choices for the first fixed element and n choices for the second fixed element, so the number of functions in B and C is n^2(2n-2)!.

By inclusion-exclusion, the number of functions in A that are not in B or C is:

|A - (B ∪ C)| = |A| - |B| - |C| + |B ∩ C|

= (2n)! - n(2n-1)! - n(2n-1)! + n^2(2n-2)!

= n(2n-1)! - n^2(2n-2)!

= n(2n-2)!(2n-1-n)

= n(2n-1-n)(2n-2)!

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The missing reason in the proof is SAS -side angle side postulate

A triangle is said to be congruent if the sides and angles are similar. The notations are explained as follows:

Using two triangles say AA and BB as instance

SAS : side angle side: this means that the two sides  of triangle AA is equal to the two sides of triangle BB. For the angle it should be the angle between the two equal sides, that is to say the angle where the two sides intersect.

This is the correct option for the question asked given that

line AB ≅ AC ( first statement )  = Side

< B ≅ < D ( fourth statement ) = Angle

line BD ≅ CD ( third statement )  = Side

This represents the side angle side postulate which is one of the postulates required to prove that triangles are equal

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The equation square root of (x + 3) + 6 = 9 has two potential solutions, x = 0 and x = 6. However, upon analysis, it is determined that x = 0 is an extraneous solution while x = 6 is not extraneous.

To find the result of the given equation, we'll break it step by step and also determine if any results are extraneous.

 The given equation is

 √( x + 3) 6 = 9

 Let's break it

Step 1 Subtract 6 from both sides of the equation

√( x +3) = 9- 6

√( x +3) = 3

 Step 2 Square both sides of the equation to exclude the square root

( x + 3) = \(3^{2}\)

( x + 3) = 9

 Step 3 Subtract 3 from both sides of the equation

x = 9- 3

x = 6

 The result to the equation is x = 6.

Now, let's determine if this result is extraneous or not.

 To check if the result is extraneous, we need to substitute it back into the original equation and see if it holds true.

Original equation √( x + 3) + 6 = 9

 Substituting x = 6

√( 6 +3) + 6 = 9

√ 9 +6 = 9

3 +6 = 9

9 = 9

Since the equation holds true when x = 6, the result x = 6 is NOT an extraneous result.

thus, the correct statements are

 x = 0; not extraneous

x = 6; not extraneous

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Step-by-step explanation:

Nsjssjsjsjshsnmsksjnsnsns

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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Answer:

x = 1

Step-by-step explanation:

2x + 1 = -1

2x = -1 - 1

2x = -2

x = -2 ÷ -2

x = 1

Answer:

$11.23

Step-by-step explanation:

To find the unit price divide the price by the product. For example, 12 ounces of juice costs $2.45. You divide $2.45 by 12 ounces. The unit price would be $0.20.

I hope this helped you, if it did more than all the other answers that may be on your question, feel free to give me brainliest, I would really appreciate it.

A 7-pack of tickets to the zoo costs $78.61. Therefore, the unit price of ticket to the zoo $11.23.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given that a 7-pack of tickets to the zoo costs $78.61.

To find the unit price;

Cost of one pack of ticket to the zoo = total cost of 7 pack of tickets / number of tickets

Cost of one pack of ticket to the zoo = $78.61 / 7

Cost of one pack of ticket to the zoo = $11.23

Therefore, the unit price of ticket to the zoo $11.23.

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Given he paid $950 for each credit hour of classes.

If he teaches a total of 51 credit hours.

For 1 credit hour he takes $950. for 51 credit hours, he will take

Thus, the total money for 51 credit hours will be $48,450.

Answer:

5s^2 - 4s - 12

Step-by-step explanation:

Answer:

5s^2+4-12

Step-by-step explanation:

An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

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Answer:

See Explanation

Step-by-step explanation:

Given

\(1\ can = 2.2m^2\)

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

\(Length=20m\)

\(Width = 44m\)

First, calculate the area of the wall

\(Area = Length * Width\)

\(Area = 20m * 44m\)

\(Area = 880m^2\)

If \(1\ can = 2.2m^2\)

Then \(x = 880m^2\)

Cross Multiply:

\(x * 2.2m^2 = 1 * 880m^2\)

\(x * 2.2m^2 = 880m^2\)

\(x * 2.2 = 880\)

Make x the subject

\(x = \frac{880}{2.2}\)

\(x = 400\)

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

y = -3x

When x = 0, y = 0

When x = -2, y = 6

When x increases by 1, y increases by -3

Answer:

Slope= 15

Hope this helps! :)

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We're supposed to write an equation for a line that is perpendicular to the line y= -(4)/(5)x+6.

The slope of the given line is -(4)/(5).What is the slope of a line that is perpendicular to this line? We can determine the slope of a line perpendicular to this one by taking the negative reciprocal of the slope of this line. That is: slope of the perpendicular line = -1 / (slope of the given line) = -1 / (-(4)/(5)) = 5/4.So the slope of the perpendicular line is 5/4. The line passes through the point (-3,7).

We'll use this information to construct the equation.Using the point-slope form, the equation is:

y - y1 = m(x - x1)Where y1 = 7, x1 = -3 and m = 5/4. So we have:y - 7 = (5/4)(x + 3)

Now let's solve for y: y = (5/4)x + (15/4) + 7

We combine 15/4 and 28/4 to get 43/4: y = (5/4)x + 43/4

The equation of the line that passes through the point (-3,7) and is perpendicular to

y = -(4)/(5)x + 6 is:y = (5/4)x + 43/4.

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The factors of 29 are 1 and 29, making it a prime number.

The factors of a number are the integers that divide the number without leaving a remainder. To find the factors of a number, we can use the divisibility rule or the prime factorization method.

In the case of 29, it can be observed that 29 is a prime number, which means it can only be divided by 1 and itself. Therefore, the factors of 29 are 1 and 29. A prime number is a number that is divisible by only 1 and itself, and 29 is a prime number.

It is not divisible by any other number besides 1 and 29.There are no other factors of 29 besides 1 and 29, which makes it a prime number and not composite.

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Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.

To determine if Kyle's calculated answer is reasonable, we can compare it to the original sum of 3 1/6 + 5 7/8.

First, we need to convert the mixed numbers to improper fractions:

3 1/6 = 19/6

5 7/8 = 47/8

Next, we can add the fractions:

19/6 + 47/8 = (152 + 141)/48 = 293/48

Now, we can compare this exact sum to Kyle's estimated answer of 9 and his calculated answer of 9 1/24.

Kyle's estimated answer of 9 is much larger than the exact sum of 6 5/48.

Thus, Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.

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