What is the Sample Skewness for the following numbers:
mean of 75.67 , median of 81, and standard deviation of
46.56?

In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

As given,

Consider two linear equations

a₁ x +b₁ y +c₁=0     _(1)

a₂ x +b₂ y +c₂=0    _(2)

Now to eliminate x variable equate coefficient of x with opposite sign

Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method

a₁ a₂ x + b₁ a₂ y + c₁ a₂=0

a₁ a₂ x +a₁ b₂ y + a₁ c₂=0

-          -            -          

0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0

Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

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The function that is linear is the function that is a straight line

A linear function can be identified on a graph by its shape.

A linear function will always have a straight line.  So, if the graph of several functions, then the linear function would be a straight line.

To confirm that it is a linear function, you can check if it has the form y = mx + b, where m and b are constants.

In this form, m represents the slope of the line, which is a measure of how steep the line is.  and b is the y-intercept

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Answer:

58

Step-by-step explanation:

because it is

Answer:

Sample Response:

To find (–7)2, the base –7 is multiplied by itself: (–7)(–7) = 49. To find –72, the base 7 is multiplied by itself: 7 • 7 = 49. The negative sign is then applied to get –49.

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

Step-by-step explanation:

For this problem, we are given the mean and standard deviation for the height of men. We need to calculate the minimum height to be considered in the top 10% of tallest men, and the maximum height to be considered in the shortest 15% of men.

The first step we need to solve this problem is to calculate the z-score. The z-score can be found by using the following expression:

For the first situation, we want a z-score for the top 10% of tallest men. This means that we need to go on the z-table and find the z-score that represents 90% of probability to the left because this will give us the minimum height to be at the 10% tallest. From the z-table we have:

Now we can use the z-score expression to find the value of x. We have:

The man should be at least 71.85 inches tall to be considered among the 10% of tallest men.

For the second situation, we have something similar. We need to find the maximum height for a man to be considered between the 15% of men. We need to go into the z-table and find the z-score that produces a result close to 0.15. We have:

Now we need to use the z-score expression to determine the height:

In order to be considered among the smallest men, someone needs to be 64.88 inches tall.

we have the equation

Find out the first derivative

equate to zero the derivative, to find out the critical points

The value of cosine is zero when the angle is 90, 270 degrees (pi/2 and 3pi/2)

so

For x=pi/10

Find out the y-coordinate

Verify for x=3pi/10

Answer:

75.4mm

Step-by-step explanation:

Circumference is the distance around a circle (just like perimeter, but a special word just for circles)

You find circumference by this formula:

C = pi•d

where d is the diameter.

They gave you the diameter in your problem, 24mm

C = pi•24

C = 75.39822

Rounded to the nearest tenth is 75.4mm

(also 24pi is a perfectly good, exact answer or 75.40mm if you need it rounded to two decimal places)

Based on the given data, the professors' grading procedures have different variances. To determine if the difference is statistically significant at the 2% level of significance, we can use a two-sample F-test. The F-statistic is calculated by dividing the larger variance by the smaller variance. In this case, the F-statistic is 2.97. Using a critical value of 5.05, we can reject the null hypothesis that the variances are equal. Thus, the decision is that there is a statistically significant difference in the variance of the professors' grading procedures.

In statistics, variance is a measure of the spread of a distribution. When comparing two variances, we can use a two-sample F-test to determine if they are statistically different. The F-statistic is calculated by dividing the larger variance by the smaller variance. If the calculated F-value is greater than the critical value, we reject the null hypothesis that the variances are equal.

In this case, the professors' grading procedures have different variances, with Professor 1 having a larger variance than Professor 2. Using a two-sample F-test, we determined that the difference in variances is statistically significant at the 2% level of significance. This means that there is strong evidence to suggest that the professors' grading procedures differ in their spread of grades.

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a. To find the derivative function f for the function `f(x) = 2x² - x - 3`, we apply the power rule and constant multiple rule of differentiation as follows:

`f(x) = 2x² - x - 3``f'(x) = 2(2)x^(2-1) - 1(1)x^(1-1) - 0``f'(x) = 4x - 1`

The derivative function is `f'(x) = 4x - 1`.

b. To find an equation of the line tangent to the graph of `f(x) = 2x² - x - 3` at `(a,  f(a))` where `a = 0`, we use the point-slope form of the equation of a line.

`f(x) = 2x² - x - 3``f'(x) = 4x - 1``f'(0) = 4(0) - 1 = -1`

At `a = 0`, `f(0) = 2(0)² - 0 - 3 = -3`.

Hence, the point of tangency is `(0, -3)` and the slope of the tangent line at that point is `f'(0) = -1`.

Using the point-slope form of the equation of a line, we obtain:`y - y₁ = m(x - x₁)`where `(x₁, y₁) = (0, -3)` and `m = f'(0) = -1`.

y - (-3) = (-1)(x - 0)`

`y + 3 = -x`

`x + y + 3 = 0`

An equation of the line tangent to the graph of `f(x) = 2x² - x - 3` at `(a, f(a))` where `a = 0` is `x + y + 3 = 0`.

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Answer:

Yes it is a polynomial.

Step-by-step explanation:

3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.

Note : -

Types of polynomials :

Answer:

\(4394\)

Step-by-step explanation:

the bird is

ANSWER:

A. 1

STEP-BY-STEP EXPLANATION:

A linear function is a polynomial function of the first degree, that is, a function of a variable, which can be written as follows:

Therefore, the correct answer would be:

12 is the ending value of sum, if the input is: 2 5 7 3. all variables are integers.

An integer is a whole number with no fractional or decimal components. It is a subset of the real numbers, and can be either positive, negative, or zero. An integer can be written without a decimal point, and can be expressed as an exact, repeating number in a fractional or decimal form. Examples of integers include -2, 5, 0, and 17.

Integers are a special type of whole number that are used to represent counting numbers, negative numbers, and zero. They are a subset of the real numbers, which are any number that can be represented on a number line. Integers are non-fractional numbers that do not contain decimal points or other decimal components. They can be expressed as an exact number, such as -2 or 5, or as a repeating decimal or fraction, such as 3/2 or 0.75.

The answer is d. 12. To calculate the ending value of sum, we need to add up all the integers. In this case, the integers are 2, 5, 7, and 3. When added together, 2 + 5 + 7 + 3 = 17. Therefore, the ending value of sum is 17 - 5 = 12.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

No, the point (1, 3) doesn't lie on the line y=2x+4.

Step-by-step explanation:

When you substitute x with 1 and y with 3, the numbers do not equal each other once you solve the problem.

\(3=2(1)+4\)

\(-4\)           \(-4\)

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

\(-1\) ≠ \(2\)

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The total number of possible orders of the group is 7!. However, we need to take into account that each ordering is equally likely.

In a group of seven kids with three girls and four boys, the probability of a random order has to be found out.

To determine the total number of possible orders, we use the concept of permutations. The total number of ways to arrange seven kids is 7 factorial, denoted as 7!.

Since there are three girls and four boys, we can determine the number of ways to arrange them separately. The number of ways to arrange three girls is 3 factorial (3!). Similarly, the number of ways to arrange four boys is 4 factorial (4!).


To find the probability of a random order, we divide the number of favorable outcomes (which is 7!) by the total number of possible outcomes.

Hence, the probability of a random order is 1, as there is only one possible order among the 7!

In conclusion, a group of seven kids lining up in a random order will result in only one possible order.

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Answer:

6*3=18

....

....

....

....

...

...

Answer:

Cube

Step-by-step explanation:

A cube is a three-dimensional shape with six square faces that are all congruent to each other. Each face of a cube is perpendicular to the adjacent faces, and all of its edges are the same length.

Answer:

1,728

Step-by-step explanation:

Answer:

182.9

Step-by-step explanation:

182.9 cm. (rounded to the nearest tenth)

Please make me brainliest so I can level up!

Answer:

The line does not overlap.

A graph would not be a function if there was an X with two Y's. (Ex. (5,0)(5,2) )

I hope this helps!

Answer: A=n(b^2-r)

Step-by-step explanation:

r + A/n = b^2

r-r+A/n = b^2-r

A/n = b^2-r

A*n/n=n(b^2-r)

A=n(b^2-r)

Answer:

8y = 9x - 7

Step-by-step explanation:

perpendicular means we take the slope as the negative reciprocal.

so

slope is 9/8

y=mx+b

b is -7/8

so the answer is

y=(9/8)x - 7/8

or 8y = 9x - 7

Answer:

63 is this right?

Step-by-step explanation:

10 x 9 = 90

so 7 x 9 = 63

Answer:

I am odd number my digits add up to 7 i am bigger than 50 and smaller 100

The probability that more than 12 of these selected children have exactly two siblings is P(13) + P(14) + P(15) + ... + P(20).

To find the probability that more than 12 of the selected children have exactly two siblings, we need to calculate the probability of selecting 13, 14, 15, ..., or 20 children with exactly two siblings, and then add up these individual probabilities.

Let's calculate the probability for each case:

Selecting 13 children with exactly two siblings:

Probability of selecting a child with exactly two siblings: 30% = 0.3

Probability of selecting a child without exactly two siblings: 1 - 0.3 = 0.7

Probability of selecting 13 children with exactly two siblings:

\((0.3)^{13}\) * \((0.7)^{20-13}\) * (20 choose 13)

Selecting 14 children with exactly two siblings:

Probability of selecting 14 children with exactly two siblings:

\((0.3)^{14}\) * \((0.7)^{20-14}\) * (20 choose 14)

Selecting 15 children with exactly two siblings:

Probability of selecting 15 children with exactly two siblings:

\((0.3)^{15}\) * \((0.7)^{20-15}\) * (20 choose 15)

Continue this process for selecting 16, 17, 18, 19, and 20 children with exactly two siblings.

Finally, add up all these individual probabilities to get the probability that more than 12 of the selected children have exactly two siblings:

P(more than 12 children with exactly two siblings) = P(13) + P(14) + P(15) + ... + P(20)

Performing the calculations for each case and summing them up will give you the desired probability.

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Answer:

almost.

Step-by-step explanation:

You can write almost every linear equation in slope-intercept form.

Slope-intercept form is:

y = mx + b

So every line except a vertical line can be written in the form y=mx+b.

This form cannot be used when m is undefined.

Answer:

First option

Step-by-step explanation:

The "x" side represents a cathetum and is adjacent to the 30-degree angle and the side AC=50 represents hypotenuse

applies the cosine ratio

\(cos30=\frac{x}{50}\)

cos 30° is a noticeable angle that can be expressed as \(\frac{\sqrt{3} }{2}\)

Then:

\(x=50cos30=50(\frac{\sqrt{3} }{2} )=25\sqrt{3}\)

Hope this helps

Answer:

(1,0) (0,-2)

Step-by-step explanation: