Measures of Variation, Standard Deviation, Population Variance, Population. Can someone help?

Answer:

D. 22.5

Step-by-step explanation:

120 divided by 8

plus 60 divided by 8

= 22.5

Answer:

1022 minutes

Step-by-step explanation:

Let x be the number of minutes the executive used the phone

There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute

So total bill A = 35 + 0.4(x-900)

We know the bill was $83.80

So we can rewrite the equation as

35 + 0.4(x-900) = 83.30

and solve for x

To make it easier for computational purposes

1)  Multiply both sides by 10

[tex]35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10[/tex]

2) Perform individual multiplication

[tex]350+4\left(x-900\right)=838[/tex]

3)  Subtract 350 from both sides

[tex]350+4\left(x-900\right)-350=838-350[/tex]

4)  Simplify

[tex]4\left(x-900\right)=488[/tex]

5) Divide both sides by 4

[tex]\frac{4\left(x-900\right)}{4}=\frac{488}{4}[/tex]

6) Simplify

[tex]x-900=122[/tex]

7) Add 900 to both sides to isolate x

[tex]x-900+900=122+900[/tex]

8) Simplify to obtain x

[tex]x=1022[/tex]

Answer: The executive used the phone for 1022 minutes that month

Answer:

X represents 32

Step-by-step explanation:

Bc x plus 30 = 62 - 30 equals 32 0-0

Answer:

1st=5, 2nd=10, 3rd=25

Step-by-step explanation:

We can make an equation to figure out the lengths of all 3 peices:

1st piece is represented as x

2nd piece is twice as long as the first, so 2x will represent that.

3rd piece is 5 times as long as the first, so 5x will represent that

together that is x+2x+5x=40

you can then simplify that to be 8x=40

40/8=5 so x=5

You then plug 5 in as x to figure out the lengths of the other pieces

1st=

5

2nd=2(5)

10

3rd=5(5)

25

:D

The value of AC  = 4x + 5.

A variable is defined as any property, number, or amount that can be counted or measured.

Even despite their different operations, adding and subtracting variables follow the same rule: once adding or subtracting terms with the identical variables, you either add and otherwise subtract the coefficients and leave the result with the variable.

       2a + 5a + 4a = 11a

        11a – 5a – 4a = 2a

Similarly with the question;

AB = x+9, BC = 3x-4

AC = AB + BC

AC  = x + 9 + 3x - 4

Add the variable and constant part separately.

AC  = 4x + 5

Thus, the value of AC is found as 4x + 5.

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The solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.

Given the quadratic equation, -9x² + 49 = 0, we can factorize to find the roots (the values of x) as shown below:

-9x² + 49 = 0

-(9x² - 49) = 0

Divide both sides by -1

-(9x² - 49)/-1 = 0/-1

9x² - 49 = 0

9x² - 49 + 49 = 0 + 49

9x² = 49

Divide both sides by 9

9x²/9 = 49/9

x² = 49/9

Take the square root of both sides

√x² = √(49/9)

x = ±7/3

Therefore, the solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.

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Answer:

-36

Step-by-step explanation:

-18    - 18    = -36

The answer is (-∞.∞).

Draw out a number line. Plot 0 and -4 on the number line.

Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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The Remaining length of the cardboard piece is  94.15 cm.

According to the statement

We have to find that the length of the remaining piece.

So, For this purpose, we know that the

Length is defined as the measurement or extent of something from end to end.

From the given information:

Four pieces measuring 29.cm, 19.62cm, 32.49cm and 24.74cm are cut from a board that is 200cm long.

Then

Total length of the four pieces become:

Four pieces length = 29+19.62+ 32.49 + 24.74

Four pieces length = 105.85 cm

Then the

Remaining length of the cardboard piece = total length - length of the four pieces.

Remaining length of the cardboard piece = 200 - 105.85

Remaining length of the cardboard piece = 94.15cm.

So, The Remaining length of the cardboard piece is  94.15 cm.

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The value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

The formula for determining the lateral area of a cylinder is expressed as;

Lateral area = 2 πrh

Where;

Note that radius is half the diameter;

radius, r = 5. 8/ 2 = 2. 9 cm

Substitute into the formula

Lateral area = 2 ( 3. 142 × 2. 9 × 7. 6)

Lateral area = 2 ( 69. 249)

Lateral area = 138. 49 cm^2

Thus, the value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

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Answer:

6 (None of the above)

Step-by-step explanation:

Let's solve the problem,

→ 20/8 ÷ 5/12

→ 20/8 × 12/5

→ 240/40 = 6

Hence, the answer is 6.

Answer:

Please see the graph below

Step-by-step explanation:

The table is just selecting numbers for x and then solving for what y would be.  Once we have the ordered pairs (x,y)  We can graph the points and see the line.

Answer:

It's the nitrogen concentration, since it's the one being decided.

Answer:

n = 7

Step-by-step explanation:

You will want to add all common factors with each other.

So that would be n + 3n + 5n which would be 9n.

Then -8 + 1 would be -7. So now it should be 9n - 7.

You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.

After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.

After that, you should divide both sides by 9 since you want n alone.

So 63 ÷ 9 would be 7. So at the end, n = 7.

Answer:642

Step-by-step explanation:

Look at the book and solve it

The length of one side of the square is x+6

The formula for calculating the area of a square is expressed as:

A = L^2

where

L is the side length of the square

Given the following parameters

A = x^2 + 12x + 36  square feet

A = (x+6)^2

(x+6)^2 = L^2

L = x + 6

Hence the length of one side of the square is x+6

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To solve for x, the given equation will be transformed as x = c - b/4

What is the equation?

Given that,

x-b/4 = c

To solve for x, the given equation will be transformed as-

x = c - b/4

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Answer:

56 degrees

22 minutes

48 seconds

In linear equation , length of each car =.375 feet.

What in mathematics is a linear equation?

Rack of the cars on the train were the same length = 8

train was 3 feet long.

length of each car = 3/8 = .375 feet

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5 is at the one-place value, and 0.5 is at the tenth-place value. 5 is ten times the value of 0.5.

For the given question;

The speed of the world's biggest submarine is 25.5 miles per hour on the surface.

Thus, in the value of 25.5, the digit 5 lies on the once place.

The value 0.5 lies on the tenth place.

Now, it is clear that the 5 is the 10 times the value of 0.5, which is the required relation.

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Answer:

1500000

Step-by-step explanation:

Answer:

8 and 3 are the length and the width

Step-by-step explanation:

3

Answer: 25

Step-by-step explanation:

We know this because 5 × 5 = 25

or 5² = 25

and also √25 = 5

Step-by-step explanation:

.............................-

The error of interval for x will be [12.25, 12.35) for rounding off to 12.3 to 1 decimal place

In the given question, a number supposed to be 'x' is rounded off to the 1 decimal place, so that the number rounded off becomes 12.3. So, it is given that the number x is rounded off to 12.3 by 1 decimal place.

From this, we get that x should be greater than or equal to 12.25 and x should be smaller than 12.35. The equations will be :

     =>  x ≥ 12.25   and x < 12.35

So, the x lies between 12.25 and 12.35 which defines the error of interval for x.

Hence, the error of interval for x will be [12.25, 12.35)

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The equation to the tangent line to [tex]y = e^{(x^2)}[/tex] at point (1,0) is given by:

y = 2e(x - 1).

Supposing that we have a function f(x) at a point [tex](x_0, y_0)[/tex], the equation of the tangent line to this function is given by:

[tex]y - y_0 = f^{\prime}(x_0, y_0)(x - x_0)[/tex]

In which f' is the derivative.

In this problem, the function is:

[tex]f(x) = e^{(x^2)}[/tex]

Applying the chain rule, the derivative is:

[tex]f^{\prime}(x) = 2xe^{(x^2)}[/tex]

At x = 1, the derivative is:

[tex]f^{\prime}(1) = 2(1)e^{((1)^2)} = 2e[/tex]

Hence the tangent line at point (1,0) is given by:

y = 2e(x - 1).

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Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

It asks the proportion of players in the sample with scores that are less than 2300.

An histogram is a graph that shows the number of times each element of x was observed.

Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

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