In a choir there are 27 men and 60 women.
4
The probability that a man chosen at random wears glasses is
9
7
The probability that a woman chosen at random wears glasses is
12
a) Work out the number of people in the choir who wear glasses.
Your final line should say, Total = ...
b) A person is chosen at random from the choir.
Work out the probability that the person does not wear glasses.

Answers

Answer 1

Answer:

Step-by-step explanation:

a) Men = 4/9 × 27 = 12

Women = 7/12 × 60 = 35

Total =  35 + 12 = 47

b) 60 + 27 = 87

87 - 47 = 40

P(no glasses) = 40/87

Answer 2

The number of people in the choir who do not wear glasses is 40 and the number of people who wear glasses is equal to 47

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes.

Given here P(a man is wearing a glasses) = 4/9 and P(A woman wearing glasses)= 7/12

Now using the formula for probability and total man is 27 hence

P(man) = 4/9

            = 4× 3/9×3

            = 12/27

thus the number of men that wear glasses is equal to 12 and man who do not is 27-12=15

Similarly for woman P(woman) = 7×5/12×5

                                                   = 35/60

therefore woman who wear glasses = 35 and woman who do not = 25

Hence total number of people who wear glasses is 47 and people who do not wear glasses is equal to 40

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Related Questions

Multiple Choice –64 ÷ 4 = ? A. 15 B. –15 C. 16 D. –16

Answers

Answer:

D

Step-by-step explanation:

- ÷ + = -

AND 64/4 IS 16

SOO -16 IS THE CORRECT ANSWER

Extra points to anyone that helps

Answers

Answer:

+80

-25

-40

Step-by-step explanation:


Find the value of each variable,
y =
Z=

Answers

ANSWER:
y = 119
z = 66

EXPLANATION:
z = 180° - 114° = 66°
y = 360° - (95° + 81° + 66°) = 119°

In which number is the value represented by the digit 9 one-tenth the value represented by the digit 9 in 87,942

Answers

Answer:

The answer is "100 place".

Step-by-step explanation:

In this question, the place value of the 9 is 100 because in the given digit "87,942" the 9 is coming in the 100 places.

In 87,942,  

8 is in 10,000 locations and its place value= 80,000.

7 is in 1,000 locations and its place value= 7,000.

9 is in the 100 locations and its place value= 900.

4 is in the 10 locations and its place value= 40.

2 is in the 1 location and its place value= 2.

Please find the attached file.

help plsssssssssssssssss



brainless will be given

Answers

Answer:

Hell earn 2 bucks join one year

the two lines below are parallel if the slope of the red line is 5 what is the slope of the green line​

Answers

Answer:

5

Step-by-step explanation:

Since the two lines are parallel, they must have the same slope. This means that the slope of green line must be 5 just like the red line. You can also use the slope formula (rise/run) or change in y divided by change in x.

What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24

Answers

D

What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24

The solution to the set is .x = negative 8 and x = 24.

What is Absolute value?

The separation of a number from a number line's origin is referred to as a number's absolute value. It is denoted by the symbol |a|, which specifies the size of any integer 'a'. Any integer's absolute value, regardless of its sign or whether it is positive or negative, will be a real number. The modulus of a, which is how two vertical lines |a| are used to symbolise it.

Given:

|4 - x/2| = 8

So, there are two possibilities

4- x/2 = 8  or 4 - x/2 = -8

-x/2 = 8-4 or -x/2 = -8-4

-x/2 = 4  or -x/2 = -12

x= -8 or x= 24

Hence, the solution to the set is .x = negative 8 and x = 24

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Geometry: How do I do this?

“Solve for x, given that

Answers

Answer:

x = 20

Step-by-step explanation:

If angle PQS is = 70° then

x + 10 + 4x - 40 = 70 add like terms

5x - 30 = 70 add 30 to both sides

5x = 100 divide both sides by 5

x = 20

PLEASE HELP
it hasn’t been a good day and i don’t feel like doing this

Answers

Answer:

Both are quadrant

Step-by-step explanation:

11. Mr. Dawley bought 2 Hydroflask water bottles at $2.49 each
and 3 Rubik's cubes for $1.75 per cube. How much did he
pay
for
the water bottles and the cubes?

Answers

Answer:

$10.23

Step-by-step explanation:

2 hydroflasks for 2.49 dollars each is equal to $4.98 and 3 Rubik's cubes for 1.75 dollars each is equal to $5.25 and when you add both of them, you get $10.23

Multiply $2.49 times 2=?
Then multiply $1.75 times 3=?
Then add the answers from #1 and #2 together and that should be your answer.
Hope this helps

(2, - 9),(- 1, 4)=

Plssss helppp me rnnn

Answers

We need a picture of the problem... then we can help you.

What is the answer to this and how do I do it???

Answers

Answer

C

You just reverse the way you read the question.

Solve the system by elimination 2x-3y=23 x+3y=-20

Answers

Answer:

x = 1

y = -7

Step-by-step explanation:

2x-3y=23

+ x+3y =-20

3x + 0 = 3

x = 1

(1) + 3y = -20

-1 -1

3y = -21

y = -7

7) Are the expressions equivalent? *
*
8k + 5k = 13k

Answers

Answer:

Yes it is equivalent

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1. combined your like terms (8+5)k

2. add 8+5

3. Answer 13k (bring your K down)

Barred owls often lay two eggs, and each resulting chick has an equal probability of being male or female. What is the probability that both chicks are male, given that at least one of them is male?

Answers

0.25 or 25%. Basically, we know that it’s 50% to get a male chick then another 50%, so the end result is 0.5 * 0.5 or 0.25.

In the similar triangles below, solve for the value of X.

Answers

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Corresponding segments are proportional.

  (3x +1)/10 = (7x -1)/22

  11(3x +1) = 5(7x -1) . . . . . . multiply by 110

  33x + 11 = 35x -5 . . . . . . eliminate parentheses

  16 = 2x . . . . . . . . . . . add 5-33x to both sides

  8 = x . . . . . . . . . . divide by 2

Answer:

Solution :-

[tex] \sf \bull \large \: \dfrac{3x + 1}{10} = \dfrac{7x - 1}{22} [/tex]

On cross multiplication

[tex] \large \tt \: 22(3x + 1) = 10(7x - 1)[/tex]

[tex] \large \tt \: 66x + 22 = 70x - 10[/tex]

[tex] \large \tt \: 70x - 66x = 22 - 10[/tex]

[tex] \large \tt \: 4x = 12[/tex]

[tex] \large \tt \: x = 3[/tex]

______% of 200 miles is 150 miles.

Answers

Answer:

75%

Step-by-step explanation:

150/200 × 100 =75

Divide 150 by 200:

150/200 = 0.75

Multiply by 100:

0.75 x 100 = 75%

The answer is 75%

given a sphere with a radius of 3 cm, find its volume to the nearest whole number

Answers

Answer:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Step-by-step explanation:

Evaluate the 3 for r.

Ans. 36π or 113

Answer:

113cm^3

Step-by-step explanation:

V=4/3 pi r^3

Help please! I don't really understand :/

Answers

so you take 2 hours and multiply it by 5 cause you get $5 per hour. Then multiply 6.25 by 5. Add those together to get your answer!! So 5x2= 10. 6.25x5= 31.25. THE ANSWER SHOULD BE 41.25!

Will mark brainliest if u help! Please answer both questions! They are very easy

Answers

d and 3, sorry if wrong hahaha

What are the solutions to the system?
y = x2 – 2x – 8
y = x + 2
O A. (5, 7) and (-2,0)
O B. (5:3) and (-2, 4)
O C. (-5, -3) and (2, 4)
o
D. (5,3)and (2, -4)

Answers

Answer:

A

Step-by-step explanation:

I just plugged each variable into the equation. A is the only one that works.

What number is the opposite of the number 0

Answers

Answer:

it is the second one, number zero does not have an opposite

Step-by-step explanation:

Answer:

B does not have an opposite number

Perimeter, Circumference, and Area
Acellus
3 ft
Find the outer perimeter of
this figure. Round your
answer to the nearest
hundredth. Use 3.14 to
approximate 7.
4 ft
5 ft
5 ft
P = [?] ft

Answers

surface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ftsurface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ftsurface area of this cone?

Use A= 3.14 and round your answer to the nearest hundredth

9 ft

6 ftv

Answer:

19.42

Step-by-step explanation:

What is the value of x?
Round your answer to the nearest tenth.

Answers

Answer:

2.4

Step-by-step explanation:

Because of AA Similarity, we have BDC is similar to FHG. We know that FH is 2/5 times BD so FG is 2/5 times BC which is 6*2/5 = 12/5 = 2.4

Divide.
(8x^3+ 31x^2+ 6x +40) + (2x+8)

Answers

Answer:

divide them by what?

or fivide it with eachother?

A bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet. A sandbox has a volume of 16 cubic feet. Approximately how many pounds of sand will it take to fill the sandbox?​

Answers

Answer:

1344

Step-by-step explanation:

2 bags of sand = 1 cu ft

2 bags of sand = 84 lbs

Sandbox holds 16 cu ft

16 cu ft * 84 lbs per cu ft = 1344 lbs

A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 3/4 lb

Answers

Answer: 1 and a half batches

Step-by-step explanation:


A 20-foot ladder leans up against the side of a building so that the foot of the ladder is 10 feet from the base of the building. How far up the
building does the ladder reach? Round your answer to the nearest tenth.
18.1
17.3
15.9
16.4

Answers

Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

[tex]a^{2} +b^{2}= c^{2}[/tex]

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

[tex]10^2+b^{2} =20^{2}[/tex]

Then, use the squares in the equation:

[tex]100+b^{2} =400[/tex]

Then, subtract 100 from both sides to isolate b:

[tex]b^{2} =300[/tex]

Finally, square root both sides to get your answer:

[tex]b=17.3205080757[/tex]

Then round to the nearest tenth which gives you 17.3.

Answer: 17.3 ft

Step-by-step explanation:

Mr. Green cuts his lawn every 8 days, while Mrs. Grasse cuts her lawn every 10 days. Suppose they both cut their lawns today. What is the least number of days that will pass before both Mr. Green and Mrs. Grasse cut their lawns on the same day again? *

Answers

It will be in the next 40 days.

solve equation by completing the square 5n^2-3n-10=15

Answers

These are the two answers you could get
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