In a certain town, 80% of all married men are working, and 75% of all married men are over 35 years old. Among working married men, 70% are over 35 years old. What proportion of non-working married men are over 35 years old?
answer: 95%
working is needed​

Answers

Answer 1

It helps to set up a two way table as shown below. Such tables compare 2 different variables. In this case, we're comparing the variables "working status" and "age".

Specifically, the working status separates the men into "working vs non-working". The age variable splits the men into groups of "35 or younger" and "over 35". Usually, but not always, each variable will take on two values.

Let's say this town had 1000 married men. 80% of this is 0.80*1000 = 800 to indicate there are 800 married working men. So we write this in the "total" column for the "working" row. This leaves 1000-800 = 200 nonworking married men, which will go right under the 800.

We're told that 75% of the married men are over 35, so 0.75*1000 = 750 married men are over 35. This goes in the "total" row for the "over 35" column. There are 1000-750 = 250 married men who are 35 and under.

As you can see, the stuff in the total column and the total row must add back to the grand total of 1000 married men overall.

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

Another bit of info given is that "Among the working married men, 70% are over 35". We'll only focus on the "working" row. We have 800 total and 70% of this is 0.70*800 = 560 which is the number of working married men over 35. This leaves 800-560 = 240 married men who are not over 35.

At this point, we have 2 spots left in the table. Through guess and check, or using algebra, you should find that there are 190 non-working men over 35 and 10 non-working men who aren't over 35. Make sure that each row and column total checks out.

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

By now, the table is fully filled out. See below.

Your teacher now asks "what proportion of non-working married men are over 35 years old?" which means we'll only focus on the "non-working" row. There are 200 men total here, and of this total, 190 are over 35.

So, 190/200 = 0.95 = 95% of the non-working married men are over 35.

In A Certain Town, 80% Of All Married Men Are Working, And 75% Of All Married Men Are Over 35 Years Old.

Related Questions

At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day

Answers

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?

Answers

6x-3y=3
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.

Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)

Answer:

(2, 3)

Step-by-step explanation:

Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is

Answers

Answer:

z₁ × z₂ = 12·cis(2·π)

Step-by-step explanation:

z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)

We have;

z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))

z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))

According to De Moivre's Theorem,

z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))

∴ z₁ × z₂ = 12·cis(2·π)

The cost of a pen is three times and Rs 4 more than the cost of a pencil. If three pencils and two pens cost Rs 71, find the cost of each item. ​

Answers

Answer:

1.

= Here,

cost of pen = 3+4 ( x ) = 7x

costs of two pen = 7x

cost of three pencils = 71 - 7x = 64x

cost of 1 pencil = 64/3

= 21.333334

c

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.​

Answers

9514 1404 393

Answer:

  (d)  Right, scalene

Step-by-step explanation:

The little square in the upper left corner tells you that is a right angle. Any triangle with a right angle is a right triangle. This one is scalene, because the sides are all different lengths.

__

Additional comment

An obtuse triangle cannot be equilateral, and vice versa.

An equilateral triangle has all sides the same length, and all angles the same measure: 60°. It is an acute triangle.

SOMEONE HELP ME PLEASE

Answers

here's the answer to your question

your answer is 51.7%

a, 0,03m3=............ dm3=...........cm3

Answers

Answer:

0.03 m³ = 30 dm³ = 30000 cm³

O.03m3=30dm
0.03m3=30000000cm3

I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8

Answers

Answer:

7 cannot be achieved

-1 + 6 = 5

-3 + 4 = 1

-5 + 2 = -3

as you can see, no combinations can form seven

A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball

Answers

Answer:

0.97 per ball

Step-by-step explanation:

Take the total cost and divide by the number of items

8.74 /9

0.97111

Rounding to the nearest cent

0.97

What is the answer if 202^2 base3 - 112^2 base3?

Answers

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

[tex]((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3[/tex]

I honestly have no clue how to do trig, I need help.

Answers

Answer: x= 437.3 ft.

Step-by-step explanation:

Let the angle side at 29 be n

so

n+29 = 90

so, n = 61

now

sin 61= p/h

sin 61 = x/500

so, x = sin 61*500

so, x = 437.3

What is the equation of the line that passes through (-12,6) and (-6,1)?

Answers

To find the equation, find the slope. To find the slope find the change in y/ change in x.

(1-6)/(-6+12)= -5/6

Then use the equation, y=mx+b, to solve for y int. First, substitute the slope in for m, and then choose a coordinate to substitute for y and x.

1=-5/6(-6)+b
1=5+b
-4=b

y=-5/6x-4 is the equation of the line.


Find the area of given figure: 6cm 2cm 3cm 1cm​

Answers

Answer:

12cm²

Step-by-step explanation:

separate it to two parts, rect and square

rect- 3cm×1cm =3cm²

square- 3cm×3cm =9cm²

then, 3cm²+9cm²=12cm²

The answer to the question is 12.

Tìm nghiệm của đa thức sau:2x mũ 2-5x-3

Answers

bạn tham khảo cách này nha

repost , can someone help asap!

Answers

Answer:

y = -3/4x + 3

Step-by-step explanation:

Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a

Answers

Answer:

cos a = 12/13

tan a = 5/12

You use these properties to solve the question,

sin²a+cos²a=1

tana=sina/cosa

Express as -80/112 as a rational: numerator = -5​

Answers

Answer:

-80\112 = -5\7

we divided both numbers by 16

I neeeeddddd helppppp !!!!! It’s urgenttttttt

Answers

х=10

I'm so sorry, i don't know how it's called (because English isn't my native language) but there are angles that have the same value

maybe u'll tell me..

Can someone please help?

Answers

Answer:

1.

C. 6561 is the answer that the table represents

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 8, 9 ] , then

Continuing the table from x = 6 , multiplying values of y by 3

x     y

6   729

7  2187  

8  6561

9  19683

f(b) = f(9) = 19683

f(a) = f(8) = 6561

average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B

three consecutive even numbers add up to 105 determine the product of the three numbers​

Answers

Answer:

34 + 35 + 36 = 105

Step-by-step explanation:

Find the value of x and found to the nearest degree help ASAP

Answers

Answer:

22

Step-by-step explanation:

sin(X) = perpendicular/base

sin(X) = 7/19

X=arcsin(7/19)=22

find the missing side.​

Answers

Answer:

I htink x ≈ 8

Step-by-step explanation:

Answer:

X is approximately 7.8.

Step-by-step explanation:

You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.

For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.

[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]

[tex]sin (26)=\frac{x}{18}[/tex]

[tex]0.438=\frac{x}{18}[/tex]

[tex]7.890... = x[/tex]

Using Pythagorean theorm, you can figure out the other side if need be :)

For reference:

[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]

[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]

[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]

Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.

Answers

Answer:

a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.

b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.

Step-by-step explanation:

Which of the following is the inverse of F(x) = -2x + 3?

Answers

Answer:

D

Step-by-step explanation:

y=-2x+3

y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.

Answer:

c

Step-by-step explanation:

what is percent of a number

Answers

Step-by-step explanation:

a fraction of a number out of 100%

Answer and step-by-step explanation:

Percent (%) means per 100

A percentage is a number or ratio expressed as a fraction of 100

Example 50% of 8 = 8*50/100 = 4

A water butt contains 512.6
liters of water when full. It is
80% full. Daniel is using a
small bucket to empty the
butt. The bucket holds
525ml of water. How many
small buckets can be
completely filled by the water in the butt?

Answers

Answer:

u can solve ur self but let me help you

Step-by-step explanation:

simply:subtract 525ml from 512.6 liters

Find the area of the shaded regions:

Answers

Answer:

18[tex]\pi[/tex]

[tex]\frac{80}{360} * 81 \pi[/tex]

Step-by-step explanation:

there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.​

Answers

Answer:

girls = 40%

boys = 60%

Step-by-step explanation:

Girls = 160

boys = 240

total students = 160+240

= 400

so,

percent of girls = (160/400)×100%

= (2/5)×100%

= 2×20%

= 40%

so,

percent of boys = 100% - 40%

= 60%

tìm tất cả giá trị thực của tham số m để đồ thị hàm số y=x³-mx²+4 cắt trục hoành tại ba điểm phân biệt

Answers

Answer:

실례합니다?

Step-by-step explanation:

질문이 뭔가요??? 이해가 안가요? 어느 언어?

Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)

Answers

The points on the graph ( b , c )

I hope I helped you ^_^

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