A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what is the average score of the whole class?

At a health club, 28% of the members are men, the rest are women. If the average man is 33 years old, and the average woman is 38 years old, what is the average age of all the members?​

Answers

Answer 1

Answer:

One: 58.5

Two 36.6

Step-by-step explanation:

One

20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.

20 students * 52 = 1040

The total score of all 40 students was 1300 + 1040 = 2340

The average for the entire class was 2340 / 40 = 58.5

Two

This question is done almost the same way.

Supposes the total number of members is 100. That means that 28 of them are men

28 * 33 = 924     This is the total age for the men

100 - 28 = 72        Out of 100, 72 of the people there are women.

72 * 38 = 2736

The total number of years of all of the members is

924 + 2736 = 3660      

The average age of all members is 3660/100 = 36.6

Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.

The average will make it come out the same.


Related Questions

Evaluate -8x+5-2x-4+5x

Answers

Answer:

The value of the expression is - 9.

Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.

Step-by-step explanation:

x = 2

- 8x + 5 - 2x - 4 + 5x

= - 8x - 2x + 5x + 5 - 4

= - 10x + 5x + 1

= - 5x + 1

= - 5 ( 2 ) + 1

= - 10 + 1

= - 9

Solve 3x + 4x = 2.
+

Answers

Answer: [tex]\frac{-2+\sqrt{10}}{3}[/tex]

Step-by-step explanation:

find the value of 3x^3y-2xy^2 when x=3 and y=-2​

Answers

Answer:

sorry I don't remember bye I will try to remember

It’s -30
3^3^3^-2-2^3^-2^2 = -30

The cost for one ticket to a jazz concert is $7.50. Two tickets cost $15. Write an equation in point-slope form to represent the total cost y for x tickets.

Answers

An equation in the point-slope form to represent the total cost y for x tickets is [tex]y-15 = 2(x-2)\\[/tex]

Let the cost of ticket be C

Let the number of tickets be x

The coordinate for the cost of a ticket will be written as: (x, C)

If the cost for one ticket to a jazz concert is $7.50, this is represented in coordinate form as (1, 7.50)

If two tickets cost $15, his is represented in coordinate form as (2, 15)

Get the slope of the equation

[tex]m =\frac{15-7.5}{2-1}\\m=\frac{7.5}{1}\\m = 7.5\\[/tex]

Get the equation in point-slope form

[tex]y-y_1 = m(x-x_1)\\[/tex]

Substitute the slope and one of the point into the formula:

[tex]y-15 = 2(x-2)\\[/tex]

Hence an equation in the point-slope form to represent the total cost y for x tickets is [tex]y-15 = 2(x-2)\\[/tex]

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Determine the domain and the range of the relation, and tell whether the relation is
a function.
{(13,2), (18, – 5), (39,2), (13,4), (51,4)}
--
What is the domain and range?

Answers

Step-by-step explanation:

it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.

anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.

the domain is {13, 18, 39, 51}

the range is {-5, 2, 4}

Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

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What cross sections might you see when a plane intersects a cone that you would not see when a plane intersects a prism or a pyramid

Answers

Answer:

the long They speaker by my parents waving the firstpassword of their Tain

hi po pahelp ito pls pls pls pls pls pls pls​

Answers

conversion of temperature

buying groceries

checking weight

measuring length

Patrick ate 540 apples in 9 hours. at that rate, how many apples could he eat in 4 minutes?

Answers

Answer:

He could eat 4 apples in 4 minutes

Step-by-step explanation:

If he eats 1 apple per minute (which I dont know how he does) then in 4 minutes he will have eaten 4 apples.

Có 2 chuông gà: chuồng 1 có 5 trống 10 mái ,chuồng 2 có 6 trống 14 mái. Có 1 con ở chuồng 2 nhảy sang chuồng 1 . từ chuồng 1 bắt ngẫu nhiên ra 2 con. Tính xác suất bắt được
a . 2 con trống

Answers

I need English to answer

A survey of 300 randomly selected high school students determined that 16 play organized sports.
What is the probability that a randomly selected high school student plays organized​ sports?
(Round to the nearest thousandth as​ needed.)

Answers

(a) The probability that randomly selected high school student plays organized sport is 236/300 = 59/75 = 0.787 = 78.7%.

(b) The probability means that for every 75 random students selected, 59 of them plays organized sport.

Assume this is a partial list of financial highlights from a Best Buy annual report (dollars in millions):
Net sales
2020 - $40,580
2019 - $35,475

Earnings before taxes
2020 - $2,291
2019 - $1,313

Net earnings
2020 - $1,378
2019 - $921

Find horizontal analysis and vertical analysis.

Answers

You subtract $1313 from $2,291

Value of Horizontal Analysis:

⇒ Net sales = 14.4%

⇒ Earnings before taxes = 74.4%

⇒ Net earnings = 49.6%

Value of Vertical Analysis;

⇒ Net sales = 100%

⇒ Earnings before taxes = 5.6%

⇒ Net earnings = 3.4%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, We can find as;

Horizontal Analysis:

Here, Calculate the dollar change by subtracting the previous year's figure from the current year's figure for each item:

Net sales = $40,580 million - $35,475 million

              = $5,105 million increase

Earnings before taxes = $2,291 million - $1,313 million

                                  = $978 million increase

Net earnings = $1,378 million - $921 million

                    = $457 million increase

Hence, Calculate the percentage change by dividing the dollar change by the previous year's figure and multiplying by 100 as;

Net sales = ($5,105 million / $35,475 million) x 100

               = 14.4% increase

Earnings before taxes = ($978 million / $1,313 million) x 100

                                  = 74.4% increase

Net earnings = ($457 million / $921 million) x 100

                   = 49.6% increase

And, Vertical Analysis:

Calculate the percentage of each item in relation to the net sales by dividing each item by the net sales and multiplying by 100:

Net sales = $40,580 million / $40,580 million x 100

               = 100%

Earnings before taxes = $2,291 million / $40,580 million x 100

                                  = 5.6%

Net earnings = $1,378 million / $40,580 million x 100

                    = 3.4%

Thus, Value of Horizontal Analysis:

⇒ Net sales = 14.4%

⇒ Earnings before taxes = 74.4%

⇒ Net earnings = 49.6%

Value of Vertical Analysis;

⇒ Net sales = 100%

⇒ Earnings before taxes = 5.6%

⇒ Net earnings = 3.4%

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Add the denominate numbers and simplify if necessary. 3 hr 55 min 40 sec + 5 hr 28 min 20 sec​

Answers

Answer:

3hr 26min 25src

Step-by-step explanation:

Find the value of x in the figure below:

Answers

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

please help me with this sum​

Answers

Answer:

Step-by-step explanation:

2. 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 4 × 9 = 2 × 2 × 3 × 3

4. 6 × 6 = 2 × 3 × 2 × 3

please give me a brainliest answer

Step-by-step explanation:

2. 36 = 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 36 = 4 × 9 = 2 × 2 × 3 × 3

4. 36 = 6 × 6 = 2 × 3 × 2 × 3

There are twice as many gray kittens than white
kittens. There are 4 white kittens. How many gray
kittens are there?

Answers

Answer:

8 gray kittens

Step-by-step explanation:

There are double the amount of grey kittens compared to white kittens so, you would do 4 × 2 which is 8. There are 8 grey kittens.

Hope this helps!

ANSWER LAST QUESTION PLZZZ

Answers

Step-by-step explanation:

what ask you ask you not ask any question please write your question please mark me brainlist

Translate this sentence into an equation.
70 is the product of Han's savings and 5.
Use the variable h to represent Han's savings.

Answers

It would be 40
Hope you have a good day Thanh you

List all subsets of the set {A, B, C} using proper notation

Answers

Answer:

subset of {A, B, C} = { }, {A}, {B}, {C}, {A,B}, {B,C},{C,A}

Hope that my answer is helpful to you

{A, B, C}, {A,B}, {A,C}, {B,C}, {A}, {B}, {C}, {∅}.

Round off the numbers then add to find the estimated difference.

ANSWERS ARE INCORRECT

Answers

Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

Find the sum of A.5 B.3 C.4 D.1

Answers

Answer:

D. Maybe? brainliest suggested

Step-by-step explanation:

Suppose z varies directly with x and inversely with the square of y . If z=18 when x=6 and y=5 , what is z when x=11 and y=10?

Answers

Z is equal to 8.25 hope this helps you

Prove that: (sin x - 2 sin³ x)/(2 cos³ x - cos x) = tan x​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to prove that:

[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]

Taking LHS, we get:

[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]

We can take sin(x) as common from numerator part. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]

Similarly, we can take cos(x) as common from first two terms. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]

[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

As we know that:

[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

We get:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

Now, we will expand the terms in fraction:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]

As we know that:

[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]

[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]

[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]

Now substitute the values in the expression, we get:

[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]

[tex]\rm = \tan(x)\cdot1[/tex]

[tex]\rm = \tan(x)[/tex]

Here, we notice that LHS = RHS

Proved.

Question Choice Worth 2 points)
(02.06Derek has a bird that weighs 4 pounds. Use the double fine diagram below to help you determine approximately how many kilograms this bird weighs
3 5 7
Pounds
1 2 3
Kilograms
15 klograms
O2 xilogram
5 kilograms
7 kilograms

Answers

A is the Roth answer

632 16/25 +32 3/10 answer in decimal

Answers

Answer:

664.94

Step-by-step explanation:

Give me brainlyest please

Answer:

664.94 is the answer to this question. I hope this helps.

Alita wants only one green pepper. the price is three for $1.48 how much will one pepper cost?

Answers

Answer:

$0.493

Step-by-step explanation:

1.48 divided by 3

b. What is the number that is halfway between the two values?
7 and 11
Submit

Answers

Answer:

9

Step-by-step explanation:

It would be 9 because 7 +2 is 9 and 11 - 2 is 9.

Isn't way to hard.

Good luck on whatever you are doing.

9514 1404 393

Answer:

  9

Step-by-step explanation:

The midpoint between two values is their average. The average is half their sum.

  (7 +11)/2 = 18/2 = 9

The number 9 is halfway between 7 and 11.

_____

Check

The distance from 7 to 9 is 9-7 = 2. The distance from 9 to 11 is 11-9 = 2. The distances are the same, so 9 is halfway between 7 and 11.

Given matrices A and B shown below, find (−3)A+(−5)B.

Answers

Answer:

i don't understand this

Step-by-step explanation:

I don't understand this at all I have no been getting this in school

Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.

Answers

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

Select True or False for each statement pls.

Answers

Statement 1: False

Statement 2: True

Statement 3: True

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