5. Consider the following two sets of incomes. Each income is in thousands of dollars
per year.
Group 1: 32, 36, 38, 39, 42, 43, 44, 47, 49, 50
Group 2:32, 36, 38, 39, 42, 43, 44, 47, 49, 150
a. Find the average or mean salary for each group.
b. How does an extreme value affect the mean?
c. Do you think the mean of the second group is a good indication of the typical
salary in that group? Explain.

If you wanna round 13822 to 1 significant figure you will need to find the nearest 10k, which is 10000 in this case

10000 = 1 . 10^4

That means

13822 ≈ 1 . 10^4 = 1(overline)0000

The Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.

Significant digits are the figures in a number that express the value -the size of a quantity to a specified degree of accuracy.

It is given that:

13822 to 1 significant figure

The number is 13822

Answer: 13822  

Significant Figures: 5

Decimals: 0

Scientific Notation: 1.3822e+4

Thus, the Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.

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Answer:

A could be 50

e could be 120

d/o could be 150

e could be 180

Multiplying by a fraction is the same as dividing by its reciprocal

1) Multiplying by 1/2 is the same as dividing by 2

2) Multiplying by 1/3 is the same as dividing by 3

3) Multiplying by 1/4 is the same as dividing by 4

4) Multiplying by 1/c is the same as dividing by c

Answer:

The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex] ⇒

2nd answer

Step-by-step explanation:

* Lets revise some properties of the parallelogram

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its perimeter is the twice the sum of two adjacent sides

* Lets solve the problem

∵ PQRS is a parallelogram

∵ The length of side SR is [tex]4\sqrt{2}[/tex]

∵ The length of side QR is [tex]\sqrt{10}[/tex]

∵ SR and RQ are two adjacent sides

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS = [tex]2(\sqrt{10}+4\sqrt{2})[/tex]

∵ [tex]2*\sqrt{10}[/tex] = [tex]2\sqrt{10}[/tex]

∵ [tex]2*4\sqrt{2}[/tex] = [tex]8\sqrt{2}[/tex]

∴ The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex]

The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.

Given that,

On a coordinate plane, parallelogram PQRS,

There points are P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2),

Length of SR = [tex]4\sqrt{2}[/tex] and QR = [tex]\sqrt{10}[/tex].

We have to find,

The perimeter of parallelogram PQRS.

According to the question,

The properties of the parallelogram is  each two opposite sides are parallel and each two opposite sides are equal.

Its perimeter is the twice the sum of two adjacent sides

Then,  PQRS is a parallelogram,

 SR and RQ are two adjacent sides,

The perimeter of parallelogram PQRS = 2(RQ + SR)

The perimeter of parallelogram PQRS = [tex]2 ( 4\sqrt{2} + \sqrt{10} )[/tex]

The, The perimeter of parallelogram PQRS = [tex]8\sqrt{2} + 2\sqrt{10}[/tex].

Hence, The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.

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Answer:

68 square inches

Step-by-step explanation:

Volume = Area × height

1632 = A × 24

A = 1632/24

= 68 inches squared

The area of the base of the cylinder is 68 inches².

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

Volume = 1632 inches

Height = 24 inches

Volume = 1632

πr²h = 1632

πr² = 1632 / 24 = 68

Area of the base.

= πr²

= 68 inches²

Thus,

The area of the base is 68 inches².

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Answer:

adout 53 Years old

Step-by-step explanation:

2. = 6=12=32. 32/2= 16

5.3=16=32= 16/3=5.333...

5.3x10=S3.3

so adout 53 Years old

Based on the tree's current growth rate of 2.67 rings per inch, if it continued to grow at the same rate, a maple tree with a diameter of 20 inches would have around 53 rings.

The tree's growth can be understood as the relation between its diameter and the number of its concentric rings. In this case, we know that a maple tree with a diameter of 12 inches has 32 rings. This means that the tree grows approximately 2.67 rings per inch (32 rings / 12 inches = 2.67 rings per inch). So, assuming the tree continues to grow at the same rate, when the tree's diameter is 20 inches, it should have around 53 rings (20 inches * 2.67 rings per inch =~ 53 rings).

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Answer:

Point A-

(-2, 3)

Point B- (2, 4)

Point C- (0, -1)

Correct answers from edge 2022 :)

(-2, 3)

(2, 4)

(0, -1)

Answer:

1,930 is the answer. Why?

Step-by-step explanation:

200-4^2

200-16= 184

184+9=193

193 times 10= 1,930

Answer:

163.8 yd

Step-by-step explanation:

The perimeter of a rectangle is twice the length added to twice the width.

The width is 23.4 yd.

The length is 2.5 times the width, so to find the length, we multiply the width by 2.5.

length = 2.5 * width = 2.5 * 23.4 yd = 58.5 yd

The length is 58.5 yd.

perimeter = 2 * length + 2 * width

perimeter = 2 * 58.5 yd + 2 * 23.4 yd

perimeter = 117 yd + 46.8 yd

perimeter = 163.8 yd

[tex]Hey![/tex]

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

[tex]\large\boxed{Perimeter~of~the~retangular~park~is~163.8~yards!}[/tex]

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

[tex]Steps To Solve:[/tex]

[tex]Find~the~length.[/tex]

[tex]23.4~*~2.5~=~58.5[/tex]

[tex]Find~the~perimeter.[/tex]

[tex]p~=~(length~*~2)~+~(width~*~2)[/tex]

[tex]p~=~(58.5~*~2)~+~(23.4~*~2)[/tex]

[tex]p~=~117~+~46.8[/tex]

[tex]p~=~163.8[/tex]

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

[tex]Hope~This~Helped!~Good~Luck![/tex]

Step-by-step explanation:

To get the simplest form keep dividing until you can't anymore. So first I'll divide by 2 which equals 16/5 which can't be divided anymore because there is no common denominator.

D.)  "The graphs of the equations intersect each other at two places."

Answer:

Jaclyn did not make an error

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](0,4)\ B(-3,0)[/tex]

Substitute the values

[tex]m=\frac{0-4}{-3-0}[/tex]

[tex]m=\frac{-4}{-3}[/tex]

[tex]m=\frac{4}{3}[/tex]

therefore

Jaclyn did not make an error

Answer:

Jaclyn did not make error

Step-by-step explanation:

Step 1: He has taken two points from the given table.

(0, 4) and (-3, 0)

Step 2: Slope formula = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step 3: Now plug in [tex]x_1 = 0, y_1 = 4, x_2 = -3 and y_2 = 0[/tex] in the above formula.

Slope = [tex]\frac{0 -4}{-3 - 0}[/tex]

Slope = [tex]\frac{-4}{-3} = \frac{4}{3}[/tex]

When we divide two negative numbers, the result will be in positive.

So, Jaclyn didn't make a single error.

Answer:

[tex]\$452.80[/tex]

Step-by-step explanation:

we know that

To find out how much money did they earn in total sum the product of the hours at regular pay by $8.20 plus the product of the hours at overtime pay by ($8.20+$2.20), all multiplied by the number of employees

so

[tex][(10)(8.20)+(3)(2.20+8.20)](4)[/tex]

[tex][82+31.2](4)[/tex]

[tex][113.2](4)[/tex]

[tex]\$452.80[/tex]

Answer:

$ 452.80

Step-by-step explanation:

Given,

The regular payment per hour for each employee = $ 8.20,

∵ Number of regular hours = 10,

Thus, wages for each employee in regular hours = 10 × 8.20 = $ 82,

Also, the overtime charges per hour = 8.20 + 2.20 = $ 10.4,

∵ Number of overtime hours = 3,

Thus, the overtime charges for each employee = 3 × 10.4 = $ 31.2,

∴ Total earning of each employee = 82 + 31.2 = $ 113.2,

Now, number of employees = 4,

Hence, the total earning of all employees = 4 × 113.2 = $ 452.8

Answer:

Reduced fraction: 2/3

Answer: 2/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 108 and 162 is 54

Divide both the numerator and denominator by the GCD

108 ÷ 54

162 ÷ 54

Reduced fraction:

2

3

Therefore, 108/162 simplified to lowest terms is 2/3.

Answer:

x = 62

Step-by-step explanation:

Given that 2 sides of the triangle are congruent ( both 6 ), then the triangle is isosceles and the 2 base angles are congruent, thus

x = 0.5( 180 - 56)° = 0,5 × 124° = 62°

Your Answer is x = −2

Hope this Helps.

Answer:

The answer is 10:18 because 5x2=10 and 9x2=18

Step-by-step explanation:

5x+4x-8=28

9x-8=28

Move -8 to the other side

Sign changes from -8 to +8

9x-8+8=28+8

9x=28+8

9x=36

Divide both sides by 9 to get x by itself

9x/9=36/9

Answer: x=4

Ans:

The solve for x:

2.41x+3.65(248-x)=622.48

2.41x+3.65×248-3.65x=622.48

2.41x-3.65x+905.2=622.48

-1.24x=622.48-905.2

-1.24x= -282.72

x= -282.72÷ -1.24

x=228

Pounds of nuts nper pound $2.41should be included:

228× $2.41

=549.48

Hope it Helps!

The grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.

The grocer is trying to find the right balance of two kinds of nuts to reach a desired price point for a mix. The equation provided should be solved for x, which represents the number of pounds of nuts costing $2.41 per pound. Here is a step-by-step solution:

Begin with the given equation: 2.41x + 3.65(248 - x) = 622.48.

Distribute 3.65 across the parentheses: 2.41x + 3.65 * 248 - 3.65x = 622.48.

Combine like terms: -1.24x + 904.80 = 622.48.

Subtract 904.80 from both sides of the equation: -1.24x = -282.32.

Divide both sides by -1.24 to find x: x = 227.84.

So, the grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.

Answer:

this is so hard

Step-by-step explanation:

Answer: 721/100 is 7.21 as a simplified fraction.

Answer:

7.21 as a numerator and put 1 as a denominator now you multiply numerator and denominator by 10 as long as get in numerator the whole number 7.21=7.21 /1=7.21/10=7.21/100 and finally we have 7.21 as a fraction equals 7.21/100

Step-by-step explanation:

Answer:

It is equivalent to a decimal that does not terminate.

Step-by-step explanation:

When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.

Answer:

11.167

Step-by-step explanation:

11 [tex]\frac{1}{6}[/tex] = 11 + ( 1 ÷ 6 )

Answer:

1. 14y-5(3-2y)

14y-15+10y

Ans = 24y-15

2. 7(y+3)-2y

7y+21-2y

Ans = 5y+21

3. -4(x+6)+2(x-2)

-4x-24+2x-4

Ans = -2x-28

4. 6x-3x+1-5x+2

Ans = -2x+3

5. 14x-5(-2x+3)

14x+10x-15

Ans = 24x-15

6. 3(x-y+5)

Ans = 3x-3y+15

Step-by-step explanation:

You have to first multiply the number outside the parantheses to the number(s) inside the parantheses.

Then, you have to combine all the like terms.

And then there's your answer !!!

GOOD LUCK !!!

Answer:photo math

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Italics by itself are comments, italics and underlines are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa).

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition (in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation). By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once (well not in this equation).

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number).

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:

3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)

(An asterisk can also symbolise multiplication).

Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.

-6 divided by 3 is equal to -2 (a positive divided by a negative will always be negative and vice versa).

Hence, x=-2.

The value of the expression 3x - 9 will be - 15 if x - 3 is -5.

A numerical expression is in the form of numbers and their operations.

According to the given question  the expression x-3 has a value of -5.

We have to determine the value of 3x - 9.

Let us solve for x in the equation

x - 3 = -5.

x = -5 + 3.

x = -2.

Putting this value of x in 3x - 9 would result in

3(-2) - 9

= -6 -9

= -15.

This can also be done in a different approach

x - 3 = - 5.

3x - 9 will be if we observe the equation has been multiplied by 3

3x - 9.

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Answer:

$7.oo for one ticket

Step-by-step explanation:

if Laura is selling 4 tickets for $28 then you would divide 28 by 4 and that's your answer.

Answer:

Option A n-8

Step-by-step explanation:

Let

n ----> the number

we know that

The algebraic expression for the phase"the difference of a number and 8" is equal to subtract 8 from the number n or is equal to the number n minus 8

so

n-8

Answer:

a

Step-by-step explanation:

The answer would be Josh.