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-0.4 3 0 8 I have to show all my work this question

The coefficient of variation for the population data is approximately 2%. The coefficient of variation (CV) is a measure of relative variability and is calculated as the ratio of the standard deviation to the mean, multiplied by 100%.

In this case, the mean is 350 and the standard deviation is 7. Therefore, the coefficient of variation can be calculated as:

CV = (standard deviation / mean) * 100%

  = (7 / 350) * 100%

  ≈ 2%

The coefficient of variation indicates the relative amount of variability in the data compared to the mean. A lower CV value suggests less variability relative to the mean, while a higher CV value indicates greater variability.

The Chebyshev's inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. For a given percentage, the Chebyshev interval can be calculated as:

(1 - 1/k^2) * 100%

where k is the number of standard deviations. In this case, we want to compute the 88.9% Chebyshev interval around the population mean. Since the interval is two-sided, we divide the desired percentage by 2 to obtain the proportion for each tail:

(1 - 1/k^2) * 100% = 88.9% / 2

1 - 1/k^2 = 0.889 / 100

Solving for k^2:

1/k^2 = 1 - 0.889 / 100

k^2 = 100 / (100 - 0.889)

k ≈ √(100 / 99.111)

k ≈ 1.0045

Therefore, the 88.9% Chebyshev interval around the population mean is approximately ±1.0045 standard deviations from the mean.

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Answer:

6

Step-by-step explanation:

The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545

No. of Blue balls in the urn = 6

No. of Orange balls in the urn = 6

Total no. of balls in the urn = No. of blue balls + No. of orange balls

                                            = 6 + 6

                                           = 12 balls

No. of blue balls to be selected = 2

No. of orange balls to be selected = 2

No. of balls to be selected = 4

The total. no of ways 4 balls can be selected =\(^{12}C_{4}\)

The No. of ways 2 blue balls can be selected = \(^{6}C_{2}\)

The No. of ways 2 orange balls can be selected =    \(^{6}C_{2}\)

Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn

                      =  \(^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}\)

Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls

                         P = (15×15)/495

                             = 225 / 495

                          P = 0.4545

Therefore,  the no. of ways to select blue and orange balls is 0.4545

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The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

From the question, we have the following parameters that can be used in our computation:

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

using the above as a guide, we have the following:

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

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The linear equation for their total combined age in 5 years is 2x + 17 = 31.

Let the age of Alex be x years old.

Let the age of June be 'y'.

June is exactly 7 years older than Alex.

y = x+7

In next 5 years, combined  total age will be of 31 years.

(x+5) + (y+5) = 31

Now, the linear equation that models total combined age in 5 years

Replace y with (x+7)

x + 5 + (x+7) + 5 = 31

2x + 17 = 31

Thus, linear equation for their total combined age in 5 years is 2x + 17 = 31.

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Answer:

90 in

Step-by-step explanation:

360/60 = 6

15*6 = 90

Answer:

-7*x>42

Step-by-step explanation:

-7 times any negative number greater than 6 is equal to more than 42

Step-by-step explanation:

(7x+2)²

= (7x+2)(7x+2)

= 49x² +14x + 14x +4

= 49x² + 28x + 4

Answer

To find the slope of a line parallel

1. Calculate the line slope

The slope m = ( y2 - y1 ) / ( x2 - x1 )

You can select two different point

For example,

(x1 , y1 ) = (-4, 0)

(x2, y2 ) = (0, 6)

_______________________________

So then, the slope,

m = ( y2 - y1 ) / ( x2 - x1 )

Replacing with the two points chosen

m = ( 6 - 0) / ( 0 - (-4) )

m=6/4

m= 3/2

___________

The parallel lines have the same slope.

_____________

The slope of a line parallel to the given line is 3/2

The one-sided limit as x approaches -6 from the positive side of the function (x+6)/16 is 0.

To find the one-sided limit as x approaches -6 from the positive side of the function (x+6)/16, we substitute -6 into the expression:

lim(x→-6+) (x+6)/16

Plugging in -6, we get:

lim(x→-6+) (-6+6)/16

Since the numerator simplifies to 0, the expression becomes:

lim(x→-6+) 0/16

Any number divided by 16 is equal to 0. Therefore, the one-sided limit as x approaches -6 from the positive side of the function (x+6)/16 is 0.

In conclusion, the one-sided limit lim(x→-6+) (x+6)/16 exists and is equal to 0.

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Option (a) Sample

Sample is the research that analyzes a portion of an entire population.

A sample is a condensed, controllable portion of a bigger group. It is a subgroup of people with traits from a wider population. When populations are too big for a statistical test to include every potential participant or observation, samples are utilized.

By permitting researchers to obtain the same results from a sample as they would from the population, sampling helps researchers save money. Non-random sampling is much less expensive than random sampling since it reduces the expense of locating participants and obtaining their data.

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Answer: the answer is transitive

we are given a line of thought trying to prove different entities proven to be congruent by different argument or proof. Evenutally, the two are associated using a property called transitivity. This property is used to associate A and C when A is equal to B and B is equal to C

Answer:

Brainleist!!!!!

Step-by-step explanation:

there are 15 marbles

4 are blue

4/15 chance of geting one blue

3 marbles for getting on blue would be 16/225

16/225 = 0.07111111111111111111111111111111

rounded-16/225 = 0.7

The probability that the all three marbles drawn will be blue is given by the relation P ( B ) = 0.85 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The total number of marbles in the bag is 3 + 4 + 8 = 15.

We want to find the probability of drawing all three blue marbles, which is a combination probability problem without replacement.

The probability of drawing the first blue marble is 4/15, since there are 4 blue marbles out of 15 total marbles.

After drawing the first blue marble, there are only 3 blue marbles left in the bag out of 14 total marbles (since one marble has already been drawn), so the probability of drawing the second blue marble is 3/14.

Similarly, after drawing the first two blue marbles, there are only 2 blue marbles left in the bag out of 13 total marbles, so the probability of drawing the third blue marble is 2/13.

To find the probability of all three events happening (drawing three blue marbles in a row), we multiply the individual probabilities together:

Probability of drawing all three blue marbles = (4/15) * (3/14) * (2/13)

P ( B ) = 0.85 %

Hence , the probability, to the nearest 10th of a percent, of drawing all three marbles as blue is 0.85%.

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Answer:

y=11

Step-by-step explanation:

Im so 100 percent sure but thats mostly the right answer

Answer:

y = 11

Step-by-step explanation:

-38 = 7y + 17 - 12y

-38 = -5y + 17

-17            -17

-55 = -5y

divide both sides by -5

11 = y

or y = 11

Hope this helps!!!

Answer:

AIYA To solve, add 18 to both sides and then divide by 3.

ROMEO The solution is x = 15 because 3(15) - 18 = 27

Step-by-step explanation:

See the attached picture to understand better

Answer: $3,250

Step-by-step explanation:

5% is the same as 0.05

$65,000 x 0.05 = $3,250

Answer:

Value of x --> 15°

Step-by-step explanation:

(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.

---> (2x + 60°) + 6x = 180°

     2x + 60° + 6x = 180°

     8x + 60° = 180°

     8x = 180°- 60°

     8x = 120

      x = \(\frac{120}{8}\)

Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:

33510321.638291 kilometers^3

Step-by-step explanation:

The formula for volume in a circle is 4/3*pie*r^3. Plug the radius in and you get that number.

Answer:

$73.37 is the new price.

Step-by-step explanation:

0.065 x 58 = 3.77

0.2 x 58 = 11.6

3.77 + 11.6 = 15.37

15.37 + 58 = 73.37

The  value of x in the interval (3 < x < 6) for which the rate of change of the cost is zero.

(a) To verify that C(3) < C(6), we have to find the values of C(3) and C(6).The given function is C(x) = s(x x+3)The order size is measured in hundreds. So, when x = 3, the order size is 300 and when x = 6, the order size is 600.Therefore, C(3) = s(3 x 3+3) = s(18) and C(6) = s(6 x 6+3) = s(39)Now, as s(x) > 0, we can see that C(6) > C(3). Hence, C(3) < C(6).(b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (3 < x < 6).We know that the function is continuous and differentiable in the interval (3 < x < 6). Now, the rate of change of the cost is given by the derivative of the function C(x) with respect to x.C(x) = s(x x+3)C'(x) = s[1 + (x + 3) . 1] = s(1 + x + 3) = s(x + 4)As per Rolle's Theorem, there must exist a value of x in the interval (3 < x < 6) such that C'(x) = 0.So, s(x + 4) = 0x + 4 = 0x = -4Thus, the order size is -4 x 100 = -400. However, this is an absurd answer as the order size cannot be negative. Therefore, there is no value of x in the interval (3 < x < 6) for which the rate of change of the cost is zero.

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The predicted period of the pendulum with a length of 80 centimeters is approximately 1.795 seconds.

To predict the period of a pendulum with a length of 80 centimeters, we can use the equation for the period of a simple pendulum:

T = 2π√(L/g)

Where:

T = Period of the pendulum

L = Length of the pendulum

g = Acceleration due to gravity

Using the given length L = 80 centimeters, we need to determine the value of g. The standard acceleration due to gravity is approximately 9.8 meters per second squared (m/s²).

Converting the length to meters:

L = 80 centimeters = 0.8 meters

Substituting the values into the formula:

T = 2π√(0.8/9.8)

T ≈ 2π√0.0816

T ≈ 2π(0.2856)

T ≈ 1.795 seconds

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Answer:

(-1,4)

(0,0)

(1,-4)

(1,-8)

Step-by-step explanation:

Substitute the value of x in the equation and find the corresponding y value.

 y = -4x

When x = -1     ; y = -4*(-1) = 4.

When x = 0    ; y = 0

When x = 1     ; y = -4*1 = -4

When x = 2    ; y = -4*2 = -8

Answer:

2×2×2×2+7×7−5×5×5 =2⁴ + 7² - 5³

Step-by-step explanation:

The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.

In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.

The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.

The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.

By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.

This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.

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Answer:

the third option

Step-by-step explanation:

to find this answer, we can simplify the point-slope form

\(y - 3 = \frac{1}{2}(x-1)\\ y = \frac{1}{2}x-\frac{1}{2}+3\\ y = \frac{1}{2}x - \frac{1}{2}+\frac{6}{2} \\ y = \frac{1}{2}x + \frac{5}{2}\)