how is the graph of the parent function, y=x transformed

The mean number of orca calves in a sample of 40 pods is 16, the standard deviation is 12, and the standard error is 3.

In this problem, we are given that the average orca pod has 16 calves each year, with a standard deviation of 12 calves. We are also told that a random sample of 40 pods is selected.

The mean of the sample is equal to the population mean, which is 16 calves. The standard deviation of the sample is equal to the population standard deviation divided by the square root of the sample size, which is 12 / sqrt(40) = 3 calves.

The standard error is a measure of how much the sample mean is likely to vary from the population mean. The standard error is equal to the standard deviation of the sample divided by the square root of the sample size, which is 3 / sqrt(40) = 0.73 calves.

In other words, if we were to take many samples of 40 pods, the mean number of orca calves in each sample would be expected to vary from the population mean of 16 calves by an amount of +/- 0.73 calves.

This means that it is possible for the sample mean to be as low as 15.27 calves or as high as 16.73 calves.

It is also important to note that the standard error is only a measure of how much the sample mean is likely to vary from the population mean. It does not tell us anything about the distribution of the sample data.

The distribution of the sample data could be normal, skewed, or uniform. Without knowing more about the distribution of the sample data, we cannot say anything about the probability of getting a particular number of orca calves in a sample of 40 pods.

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The distance between the airplane and the tower is approximately 1864.5 meters.

To solve this problem, we can use trigonometry. Let's draw a diagram to help us visualize the situation:

```
   T
  /|
 / |
/  | 500m
/a  |
--------
  x
```

In this diagram, "T" represents the control tower, "a" represents the airplane, and "x" represents the distance between them. We know that the height of the airplane is 500m, and the angle of depression from the tower to the airplane is 15 degrees. This means that the angle between the horizontal ground and the line from the tower to the airplane is also 15 degrees.

Using trigonometry, we can set up the following equation:

```
tan 15 = 500 / x
```

We can solve for "x" by multiplying both sides by "x" and then dividing by tan 15:

```
x = 500 / tan 15
```

Using a calculator, we can find that tan 15 is approximately 0.2679. Therefore:

```
x = 500 / 0.2679
x ≈ 1864.5m
```

So the distance between the airplane and the tower is approximately 1864.5 meters.

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The solution of the system by using elementary row operations on the equations or on the augmented matrix following systemic elimination procedure is x1 = −8 and x2 = 3.

The complexity of the algebra required to solve a linear system rises as the number of equations and unknowns grows. By streamlining the nomenclature and standardizing processes, the necessary computations may be made easier to handle.

The procedures listed below should be followed in order to solve a system of linear equations using the row operations:

1. As a matrix equation, write the equations as AX = B.

2. Create an augmented matrix by converting the matrix equation to the following form: [A | B] (the word "augmented" refers to the vertical line we create to remind us where the equals sign belongs).

3. Reduce the augmented matrix using row operations to arrive at the answer.

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Stratified Random Sampling method , was used to estimate the proportion of students at major universities who approve of the new health care law.

A simple random sample (SRS) of size n consists of n individuals from a population selected so that each set of individuals has an equal chance of being selected. Simple random samples of 200 out of 25,000 and 100 out of 5,000 graduate students are selected. The sampling method in the given question is stratified random sampling.

Stratified random sampling is a sampling method that involves dividing the population into smaller subgroups known as "strata". In stratified random sampling or stratification, strata are created based on common attributes or characteristics of members, such as income or educational attainment. Proportional Random Sampling is another name of name of Stratified Random Sampling.

When completing an analysis or research on a group of entities with similar characteristics, the researcher may find that the population size is too large to complete the research. To save time and money, the analyst may choose a more feasible approach by selecting a small group from the population. A small group is referred to as a " sample size ", which is a subset of the population used to represent the entire population. A sample can be selected from a population in a number of ways, one of which is the stratified random sampling method.

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Find his speed by dividing 366 miles by 6 hours:

366/6 = 61 miles per hour.

Divide 427 miles by 61 miles per hour to find the time:

427/61 = 7 hours

The answer is 7 hours.

Answer:

8 1/2 hours

Step-by-step explanation:

Sped

Answer:

A) 4 packs

B) $168.48

Step-by-step explanation:

A) Lily will need to bring 4 packs of bottled water because 3 bottles per guest is 37 times 3, which gives us 111 water bottles. If each pack has 36, divide 111 water bottles by 36 giving us 3.08333333333 packs. Since you cannot buy 3.08333333333 packs of bottled water, Lily will need to round up to the nearest whole number to insure that each guest has exactly 3 water bottles. When you round up it will be 4 packs of bottled water.

B) Because Lily is bringing 4 packs of bottled water to the party and each pack costs $42.12, multiply 42.12 by 4 to get $168.48 as the total cost of her purchase.

Answer:

24

Step-by-step explanation:

Answer:

≈ $0.10 /min

Step-by-step explanation:

Based on the data provided, it appears that on average, the cardboard cap group took longer to complete the task compared to the transparent cap group.

To answer this question, we would need to compare the average completion times of the two groups. If the average completion time of the cardboard cap group is higher than that of the transparent cap group, then the data would suggest that the cardboard cap group took longer to complete the task on average. Working capital is the difference between a company's current assets and short-term liabilities. The challenge is to identify the appropriate items for the various assets and liabilities on the company's balance sheet to determine the company's overall health and ability to meet short-term commitments. Therefore, we would need to calculate the average completion time for each group and compare the results to answer this question.

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Answer:

\(y = {1}^{2} + 1 = 1 + 1 = 2\)

Answer:

45/4

Step-by-step explanation:

Answer: XY= 11.25

Step-by-step explanation:

So if the shapes are similar than the dimensions are similar also. So check it right we know that 12 doesn't go into 27 but we can still divide to solve for the dimension. so 27/12 = 2.25. We can also check this answer by multiplying 8 by 2.25 to hopefully get 18 since side AC is similar to side XZ. Since our numbers check out we can mulitply 5*2.25 to get 11.25 as the side for XY

Answer:

54 feets

2.5 inches

Step-by-step explanation:

Given that:

Scale model:

5 in : 9ft

If 5 in = 9 ft

Hence, 1 in on the blue print equals

5 in = 9 ft

1 in = x

Cross multiply

5x = 9

x = 9/5 feets

Hence, 1 inches on the blueprint equals 9/5 feets actual

Blueprint length (in.) ___ Actual length (ft)

5 _________ 9

10 ________ 18

15 ________ 27

20 _______ 36

25 _______ 45

30 _______ 54

Hence ;

5 * 9/5 = 9 feets

10 * 9/5 = 18 feets

15 * 9/5 = 27 feets

20 * 9/5 = 36 feets

25 * 9/5 = 45 feets

30 * 9/5 = 54 feets

Window with actual width of 4.5 feets

Width of window in blue print :

Actual width ÷ 9/5

Actual width = 4.5 = 4 1/2 = 9/2

9/2 * 5 /9

= 5 /2

= 2 1/2 inches = 2.5 inches

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer:

Number 9 is 8, 8 is the length of each side

Step-by-step explanation:

8 x 8 = 64

And it s a square so all sides are equal

Answer: 8 feet long

Step-by-step explanation:

this is because a square has 4 sides that are all the same length

and the formula for area of a square is A = base x height

since you are given the height you would take the sqrt of 64 and get 8

8 x 8 = 64

The order number that conveys a different information between the two analytical reports presented in tabular form is Order 102

The report that accompanies a similar question consists of two tabular forms of (analytical) reports, as follows;

Report 1.

Order. Stock # Qty

101. 27–671. 1

102. 27–781. 2

103. 27–090. 3

Report 2.

Order. Stock # Qty

101. 27–671. 1

102. 27–783. 2

103. 27–090. 3

From the above reports, by examination, we have at order 102

Stock number (Stock #) for Order 102 in Report 1 = 27–781

Stock number (Stock #) for Order 102 in Report 2 = 27–783

Therefore;

The order(s) that have (has) a different information between the reports is; Order 102

The correct option is therefore;

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The function \(\(f(x) = 11x - 3\ln(x)\)\) has critical numbers at \(\(f(x) = 11x - 3\ln(x)\)\) and x = e. The function is increasing on the intervals \(\((0, \frac{3}{11})\)\) and \(\((e, +\infty)\)\). It is decreasing on the interval \(\((\frac{3}{11}, e)\)\). There are no local maxima or minima for this function.

The function is concave up on the interval (0, e) and concave down on the interval \(\((e, +\infty)\)\). There are no inflection points for this function.

To find the critical numbers of a function, we need to find the values of x where the derivative of the function is either zero or undefined. The derivative of f(x) is \(\(11 - \frac{3}{x}\)\), which is undefined when x = 0 and zero when \(\(x = \frac{3}{11}\)\). Additionally, the derivative is never zero for x > 0 except at \(\(x = \frac{3}{11}\)\). Therefore, the critical numbers are \(\(x = \frac{3}{11}\)\) and x = e.

To determine where the function is increasing or decreasing, we examine the sign of the derivative. The derivative is positive on the intervals where it is defined and positive, indicating that the function is increasing on those intervals. Thus, the function is increasing on \(\((0, \frac{3}{11})\)\) and \(\((e, +\infty)\)\), and decreasing on \(\((\frac{3}{11}, e)\)\).

Since the function does not have any local maxima or minima, there are no x-coordinates to list for local maxima and minima.

To determine where the function is concave up or concave down, we examine the sign of the second derivative. The second derivative of f(x) is \(\(\frac{3}{x^2}\)\), which is positive for \(\(x > 0\)\), indicating that the function is concave up on the interval (0, e), and concave down on the interval \(\((e, +\infty)\)\).

Finally, the inflection points occur where the concavity changes. Since the second derivative is always positive, there are no inflection points for this function.

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Answer:

12% by 6° 2

Step-by-step explanation:

Thats the greater value

Just brainliest me

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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There are 504 multiple ways to go about doing something. the probability that perhaps a specific event (or group of events) would happen.

either as a range between 0 and 100% or even as a percentage on either a line plot between 0 (impossibility) to 1 (certainty).

THE PROCEDURE IS HERE.

The three airports will each receive a fleet of nine taxis.

Three people travel to airport A, five to airport B, and one to airport C.

There are several different methods that this can be done, including:

(9C3) (6C5) (1C1)

(84) (6) (1) (1)

= 504

The result is that this could be done in 504 different ways.

Based on the probability equation, the likelihood that a will take place is related to the ratio of favorable outcomes to all outcomes. Amount of favorable outcomes/Total Number of outcomes determines the probability that an event will occur, P(E).

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Answer:

Step-by-step explanation:

Mode is the one that occurs the most.

Stem is first number repeated for leaf

so your list of numbers is

10,12,12,22,23,24,30

The one that occurs the most is 12.  So your mode is 12.

If there are multiple numbers that are "most" then there is no mode.

Hey there! I'm happy to help!

A translation is just when they are staying the same. You just move the figure along but it doesn't switch the way it is facing.

A reflection is when it is like going over a mirror. It's kind of like it rolls over. So if you are facing left on the ground and you roll over then you are facing the right. That's basically what a reflection is.

A rotation is pretty self explanatory, it's when you twist it sideways, upside down, etc. A rotation can also end up in the same position as a reflection. For example if you diagonally reflect something it is the same as a 180 degree rotation, and that might be what is stressing you out.

With your answers, I'm assuming each number has all three possible answers, so if one seems to have both, just see which answer you haven't used yet.

1) Rotation, Translation Reflection

2) Rotation, Reflection, Translation

3) Translation, Rotation, Reflection

4) Rotation, Reflection, Translation

5) Reflection, Rotation, Translation

6) Reflection, Rotation, Translation

Have a wonderful day and keep on learning! :D

Answer:

 x^2 - 15x - 27

----------------------  (Answer C)

             9

Step-by-step explanation:

(h - g)(x) is the difference between funcions h and g.  Subtract g(x) from h(x) as follows:

 x^2 + 2 - x

-(4x + 5)

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

x^2 - 5x - 3  =  (h - g)(x)

To find (h - g)(x/3), substitute x/3 for x in x^2 - 5x - 3  =  (h - g)(x), obtaining:

(x/3)^2 - 5(x/3) - 3

We must expand this and then combine like terms:

x^2/9 - (5/3)x - 3

The LCD of these three terms is 9.  The first term stays as is.  The second term becomes (15/9)x.  The third term becomes 27/9.

Combining these three terms, all with denominator 9, we get:

 x^2 - 15x - 27

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

             9

This matches Answer C.

Answer:

First option is the correct answer

y = 4x + 5

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

a = - 4

c = 7/2

x = 1, -1/2

Step-by-step explanation:

1) 6(3a+4) = 12a

3a +4 = 2a

a = -4

2) 4c -9 = 5

4c = 14

c = 7/2

3) 2x² - x -1=0

2x² -2x +x -1 =0

2x(x -1)+1(x-1)=0

X = 1 or -1/2

Answer:

Step-by-step explanation:

Possible number of pairs of given cards:

Number of sums with odd score, two odd numbers added to an even number from each box:

Required probability:

Answer:

4 hours

Step-by-step explanation:

you would take 2 1/4 and multiply it by 8 (hours) to get 18

Answer:

\( x = \pm i\sqrt{\dfrac{5}{3}} \)

Step-by-step explanation:

\( -3x^2 + 5 = 10 \)

\( -3x^2 = 5 \)

\( x^2 = -\dfrac{5}{3} \)

\( x = \pm i\sqrt{\dfrac{5}{3}} \)

the ratio of flour to sugar is:

flour : sugar= 4 : 2 = 2 : 1

Answer:

2:1, 2 to 1, or 2/1

Step-by-step explanation:

Devide 4 and the two by two and it makes it 2:1

Answer:

C)  (-1, -4) and (4, 6)

Step-by-step explanation:

\(\textsf{Equation 1}:y=2x-2\)

\(\textsf{Equation 2}:y=x^2-x-6\)

Substitute Equation 1 into Equation 2 and solve for x:

\(\implies 2x-2=x^2-x-6\)

\(\implies x^2-3x-4=0\)

Find two numbers that multiply to -4 and sum to -3:  -4 and 1

Rewrite the middle term as the sum of these two numbers:

\(\implies x^2-4x+x-4=0\)

Factorize the first two terms and the last two terms separately:

\(\implies x(x-4)+1(x-4)=0\)

Factor out the common term \((x-4)\):

\(\implies (x+1)(x-4)=0\)

\(\implies (x+1)=0 \implies x=-1\)

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

Substitute the found values of x into Equation 1 and solve for y:

\(x=-1 \implies y=2(-1)-2=-4\)

\(x=4 \implies y=2(4)-2=6\)

Therefore, the solution to the system of equations is:

(-1, -4) and (4, 6)

The margin of error is 3.083 min

Margin of Error: The margin of error is the range of error permitted around the sample statistic in order to estimate the population parameter. The margin of error indicates the size of the confidence interval. The breadth of the confidence interval increases with the margin of error.

Sample size, n=24

Sample mean, ¯x=31.5 min

Sample standard deviation, s=7.3 min

Confidence level, c=95%

=0.95

From the given information we can calculate the below-required quantities,

Significance level, α=1−c=1−0.95=0.05

Degrees of freedom, DOF=n−1

=24−1

=23

Now from the t-distribution table,

The value of t (α2, DOF) is,

t (0.025,23) = 2.069  

Hence the margin of error will be,

MOE= t (α2, DOF) × s/√ n

=2.069×7.3/√24

=3.083 min

i. The upper limit of the confidence interval will be,

UL=¯x + MOE=31.5+3.083=34.583

The lower limit of the confidence interval will be,

LL=¯x−MOE

=31.5−3.083

=28.417

Hence, the 95% confidence interval is (28.417,34.583)

(28.417,34.583)

The answer is 28.417,34.583

ii. The required answer is MOE=3.083 min

ii. We have found the 95% confidence interval for the population mean to be (28.417,34.583). This means with 95 % confidence; it can be said that the population mean commute time is between the bounds of the confidence interval.

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