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The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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Answer:

8x4-2x2+7

Step-by-step explanation:

it's 100 percent right trust me

The extension cord is an illustration of unit rates, and the price per foot is $0.47 per foot

The given parameters are:

Length = 6 yards

Cost = $8.46

Convert the length from yard to feet.

So, we have:

Length = 6 feet * 3

This gives

Length= 18 feet

The price per foot is then calculated using:

Rate = Cost/Length

This gives

Rate = 8.46/18

Evaluate

Rate = 0.47

Hence, the price per foot is $0.47 per foot

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Answer:

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Step-by-step explanation:

Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle
[tex]C = 2 \pi r[/tex]

We can get the radius from rearranging the equation.

[tex]r = \frac{C}{2 \pi}[/tex]

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.

Answer:

Therefore, Peter is 21 years old.

Step-by-step explanation:

    [tex]\bf{ x+11=\dfrac{(x-13)^2}{2} \ \Longrightarrow \ 2x+22=x^2-26x+169 }[/tex]

          [tex]\bf{ 0=x^2-28x+147=(x-21)(x+7) }[/tex]

Answer:

There are several different ways to get the x-intercept and y-intercept of an equation.  The way that I usually do it is setting one of the variables to zero and finding what the other variable is equal to.  For example, if we set x to 0 that means that we are finding the y-intercept as the value of x is 0 which is the y-axis.  This is also how it works when setting y to 0.  First lets find the x intercept by setting y to 0.

[tex]3x - 2y = 6[/tex]

[tex]3x - 2(0) = 6[/tex]

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

We now know that the x-intercept is 2 and now we need to determine what the y-intercept is.  Now we can just set the x to 0 and find the y-intercept.

[tex]3x - 2y = 6[/tex]

[tex]3(0) - 2y = 6[/tex]

[tex]\frac{-2y}{-2} = \frac{6}{-2}[/tex]

[tex]y =- 3[/tex]

Therefore, we know that our x-intercept is (2, 0) and our y-intercept is (0, -3) because the first spot in the coordinate pair is the x-value and the second one is the y-value.

Hope this helps

Answer:

positive association

Step-by-step explanation:

The longer a movie is, the more screen time it will have, and the more actors it will probably need.

Answer:

4.0  

Step-by-step explanation:

Here is one way

By pythag theorem  AD = sqrt (5,5^2 - 4.3^2) =3.42928564

Then pythag theorem again for the lower triangle

   BD = sqrt (5.3^2 - 3.42928564^2) = 4.041

Answer:

The answer is A.

Step-by-step explanation:

A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. For example, a cube, prism, or pyramid are polyhedrons.

The means of simplifying is by factoring. The simplified form of the expression is 3x²  - 29x + 56

The means of simplifying is by factoring

Given the expression

(x - 7) (3x-8)

Expand

(x - 7) (3x -8)

3x² -8x - 21x +56

3x²  - 29x + 56

Hence the simplified form of the expression is 3x²  - 29x + 56

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Answer:

5 pens = 15$ and 4 pencils = 4$

Step-by-step explanation:

7-3=4, so 4 pens is 12$

12/4 = 3, so 1 pen = 3$

Remove the pens from the equation

7x3=21

24-21=3

3/3=1, so each pencil costs 1$

4 pencils and 5 pens are worth $23.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let the cost of one pencil be x, and the cost of one pen be y.

Then we can set up the following system of equations based on the given information:

3x + 7y = 24 ...(1)

3x + 3y = 12 ...(2)

Solving these two equations, we can find that x = 2 and y = 3.

Now, we can use these values to find the cost of 4 pencils and 5 pens:

4x + 5y = 4(2) + 5(3) = 8 + 15 = $23

Therefore,

4 pencils and 5 pens are worth $23.

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Answer:

The first one is 1/2.

The second blank is 1 1/6

The third blank is 3/2

The fourth blank is 5/3

The fifth blank is 2 2/3.

The sixth blank is 2 5/6.

Step-by-step explanation:

profit= revenue - cost

profit = 2(87)-69.80

=174-69.20=104.8 R

Answer:

40/36 simplified is 10/9

Step-by-step explanation:

40 ÷ 4

36 ÷ 4

Reduced fraction:

10/9

Therefore, 40/36 simplified to lowest terms is 10/9.

Answer:

10/9

Step-by-step explanation:

i hope this helps you good luck on your quiz or lesson! :)

also thanks for the points and not to boher you but can i please have brainlliest thanks

Any other question tell me in the comments!

Answer:

The slope is 4/3

Step-by-step explanation:

The solution is in the image

Step-by-step explanation:

100% = 350

1% = 100%/100 = 350/100 = 3.5

how many % are 70 ? well, as many as often 1% fits into 70 :

70/3.5 = 20%

Answer:

Step-by-step explanation: then let's be kinda quaint in the matter. And assume your understanding of word integration in a 5-Manifold?

The function g(x) is a linear function, and the rate of change over the interval  -2 ≤ x ≤ 4 is 6

The function f is given as:

f(x) =6x - 4

When translated down by 6 units, the rule of translation is:

g(x) = f(x) - 4

So, we have:

g(x) = 6x - 4 - 4

Evaluate

g(x) = 6x - 8

The rate of change over -2 ≤ x ≤ 4 is then calculated using:

g'(x) = [g(b) - g(a)]/[b - a]

So, we have:

g'(x) = [g(4) - g(-2)]/[4 + 2]

Evaluate

g'(x) = [g(4) - g(-2)]/[6]

Calculate g(4) and g(-2)

g(4) = 6 * 4 - 8 = 16

g(-2) = 6 * -2 - 8 = -20

So, we have:

g'(x) = (16 + 20)/6

Evaluate

g'(x) = 6

Hence, the rate of change over the interval  -2 ≤ x ≤ 4 is 6

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a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

The given data set is 141, 116, 117, 135, 126, 121.

a) The range is the difference between the highest and lowest values within a set of numbers.

Range = Highest value - Lowest value

= 141-116

= 25

So, the range is 25.

b) Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

[tex]s=\sqrt{\frac{(x_i-\bar x)^2}{n-1} }[/tex]

Here, mean ([tex]\bar x[/tex]) = [tex]\frac{141+116+117+135+126+121}{6}[/tex]

= 126

[tex]s=\sqrt{\frac{(141-126)^2+(116-126)^2+(117-126)^2+(135-126)^2+(126-126)^2+(121-126)^2}{6-1}}[/tex]

[tex]s=\sqrt{\frac{(15^2+(-10)^2+(-9)^2+(9)^2+(0)^2+(-5)^2}{5}}[/tex]

[tex]s=\sqrt{\frac{(225+100+81+81+25)}{5}}[/tex]

[tex]s=\sqrt{\frac{512}{5}}[/tex]

s=10.1

So, the standard deviation is 10.1.

Therefore,

a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

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Answer:

M=-10/4

M=-5/2

-5/4+m=-15/4

Step-by-step explanation:

Original equation:

3/4+m=-7/4

=-5/2

the other answers mentioned above is also -5/2

Hope that helps!

Answer:

See below

Step-by-step explanation:

The x-intercept is where the line first passes the x-axis, or when y=0. In this case, if you are on the internet for 5 hours, then you have 0 hours to watch TV.

Answer:

sam is watching 5 hours on the internet and no time on the television

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

We have to find the probability of not getting odd, whole rolling a 6 sided die ~

Actually dices have 3 odd numbers (1 , 3 , 5) and 3 non - odd numbers (2 , 4 ,6)

When we roll a dice, we may get any of the six numbers, so total possible outcomes are 6

and, The number of Favorable outcomes is 3, i.e non - odd numbers.

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{favourable \: outcomes}{total \: \: outcomes} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{3}{6} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{1}{2} \: \: \: or \: \: \: 0.5[/tex]

Answer:

½

Step-by-step explanation:

Not odd (even) numbers from 1 - 6 = 2, 4, 6

Any of these 3 numbers can come when rolling a cubical 6 - sided dice.

Then,

P (not odd)

= Favourable outcomes / total number of outcomes

= 3/6

= ½

_____

Hope it helps ⚜

Answer:

Item #1

[tex]-\frac{27}{8}[/tex] fraction form

[tex]- 3.375[/tex] decimal form

[tex]-3\frac{3}{8}[/tex] mixed number

Item #2

$7.98 (rounded to nearest cent)

Answer:

the numbers of students that have pets 44

Step-by-step explanation:

Answer:

Here is the ans ...hope it helps:)