Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club?

The five number summary is

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Further Explanation:

The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}

It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.

There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6

Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.

Median = 28.5

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Now break the set up into two pieces

L = {23, 24, 25, 27, 27, 28}

U = {29, 30, 30, 31, 32, 37}

L is the lower set below the median, U is the upper set above the median

The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5

This gives us Q1 = 26 and Q3 = 30.5 respectively

Q1 = first quartile

Q3 = third quartile

The min and max are simply the smallest and largest items of the set

min = 23

max = 37

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We have this five number summary:

These five items directly determine the positioning of the box and whiskers. No extra info is needed.

The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.

The Q1 and Q3 handle the left and right edges of the box

The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.

With all this in mind, the best match is choice D

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In other words, we can eliminate the following

Since A, B, and C are eliminated, the only thing left is choice D which matches all aspects of the five number summary above.

Answer:

Below in bold.

Step-by-step explanation:

a)  36 % of 50

= 50 * 0.36

= 18 students got above 80 marks.

b) 100 - 36

= 64% got below 80.

c)

50 - 18 = 32 students got below 80.

Answer:  Choice B.  3√2

This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]

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Reason:

For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]

In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]

So,

[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]

If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.

Side note: This formula or concept is related to the pythagorean theorem.

Answer:

B

Step-by-step explanation:

You don't have do do anything with the denominator because they are the same so simply subtract!

= 5 [tex]\frac{1}{3}[/tex]

Answer:

v = pi (5) squared (18)

Step-by-step explanation:

area of circle is pi * r²

so volume is the area X the length of 18

Answer: IM GONNA SAY D….EEZ N/ NO ITS ACTUALLY D

Step-by-step explanation:

Answer:

The value of X = 9

Step-by-step explanation:

X+13=22

X = 22-13

X = 9

Answer:

=5a+7b

Step-by-step explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b

Answer:

Step-by-step explanation:

[tex]\boxed{\underline{\text{Distributive property}}}[/tex]

Given:

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

Note:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

Solutions:

Multiply by expand first.

[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]

[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]

Rewrite the equation problem down.

5a+10b-3b

Solve.

Subtract.

10b-3b=7b

[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.

Answer:

it’s 3 because chinese had the era.

Step-by-step explanation:

Answer:

19.77 ft

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.

sin 64  = opposite/hypotenuse = height /22

sin 64 = height / 22

22 * sin 64 = height = 19.77 ft

Answer:

30 again if I’m wrong then it’s 40

Step-by-step explanation:

most of the pizzas that are sold are in the 30’s or below

The height of the rectangular prism is 3.1

[tex]6.9x=21.39[/tex]

[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]

Sure hope this helps

Answer:

49 grade 80 minutes

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

The length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

Isosceles triangle

Given:

Total length=13 inches

Hence:

AC=BC<AB

Let AC=BC=x-1 inches

AB=x inches

Thus:

x-1+(x-1)+x=13

3x-2=13

3x=13+2

3x=15

divide both side by 3x

x=15/3

x=5 inches

Hence:

Other two side

x-1=5-1=4 inches

Therefore the length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

Learn more about Length of the longest slide here:https://brainly.com/question/7807143

#SPJ1

Answer:

4 in

Step-by-step explanation:

I Just Took the Test.

Answer:

174 CM²

Step-by-step explanation:

First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)

We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24

There are 2 triangles therefore we get 2*24 which is 48 CM²

Now we calculate the area of the rectangles (7·10=70, 8·7=56)

Finally we add up all the numbers (70+56+48=174 CM²)

Therefore the surface area of the triangular prism is 174 CM², respectively.

Answer:

[tex] \frac{31}{50} \\ \frac{31}{50} \times 100 = 62\% [/tex]

Answer:

Logan's solution and reasoning for solving an equation are shown below:

Given

Step 1: x-10-50 Reason 1: Given

Step 2

x-10+10=50+10 Reason 2 Addition Property of Equality

Step 3

60

Reason 3 Simplity

Step 4:

<= 60

Reason 4: Division Property of Equality

Step 5.

x = 40

Reason 5: Simplity

Choose which reason is incorrect.

O Reason 2

O Reason 3

O Reason 4

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

1,2,3,4 round down

5,6,7,8,9 round up

Look at the 100's column for rounding to the nearest 1000

Answer:

the answer will be the number 8

Step-by-step explanation:

We can use long division to solve this

First place a 5 in the tens place, this means we are multiplying 5 by 50. This will subtract 250 from 280, leaving us with 30.

Next place a 6 in the ones place, this means we are multiplying 5 by 6. This will subtract 30 from 30, leaving us with 0.

This means we have found our answer of 56.

Answer:

See explanation

Step-by-step explanation:

Basically, division is just saying "how many numbers would go into this number this many times?" We can break this problem down into 200/5 and 80/5. 200/5 is 40, and 80/5 is 16. 40+16 is 56, so the answer is 56.

(I can elaborate further if needed)

Hope this helps!

Answer:

missing side is 5x - 4

Step-by-step explanation:

x - 1 + ( 3x + 6 ) + third side = 9x + 1

x - 1 + 3x + 6 + third side = 9x + 1

4x + 5 + third side = 9x + 1

third side = 9x + 1 - ( 4x + 5 )

third side = 9x + 1 - 4x - 5

third side = 5x - 4

Answer:

x = 81

Steps:

It says that y ~ √x

We have points (9, 18) as a guide.

We can write y = f(x) = a√x +b

Use points (9, 18) as a guide

18 = a√9 +b

18 = 3a + b

One solution might be a = 6, which means f(x) = 6√x

Thus when y = 54,

54 = 6√x

9 = √x

81 = x

Answer:

x < - 3

Step-by-step explanation:

4x + 2 > 6x + 8

=> 4x - 6x > 8 - 2

=> -2x > 6

Divide by -2 (Since dividing by -ve, operator sign changes)

=> x < - 3

Answer: x >-3

Step-by-step explanation: 4x + 2 > 6x + 8

4x - 6x = -2x

6x - 6x = 0

-2x + 2 >8

8 -2 = 6

2-2 = 0

-2x > 6

-2x/-2x = 0

6/-2x = -3

therefore x >-3

Answer:

The answer is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Use rise over run, so you go up 1 then go to the right twice giving you the slope

Answer:

a. (-6, -3)

Step-by-step explanation:

A triangle has been dilated with a factor of 3.

New coordinates will be :

Therefore, A' will be :

Answer:

Below.

Step-by-step explanation:

sin-1 1/2 = 30 degrees in the first quadrant.

As the sin is negative in Quadrants 3 and 4,

sin01 -1/2

= 210, 330 degrees,  in the range 0-360 degrees

Answer: -30°

Step-by-step explanation:

right on acellus

Answer: Slope: 3

x-intercept(s): [tex](-\frac{1}{3} , 0)[/tex]

y-intercept(s): [tex](0,1)[/tex]