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Anna35 [415]
3 years ago
8

Of 256 consumers polled, some like only thriller movies, some prefer just comedies, and some like both. If 78 people like only t

hrillers, and 116 like both, how many people prefer only comedies
Mathematics
2 answers:
rodikova [14]3 years ago
7 0
ANSWER

The number of people who like only comedies is

n(C \cup \: T ' ) = 62

EXPLANATION

The total number of consumers polled is

n(C \cup \: T) = 256

The number of consumers who like both Comedies and Thrillers is

n(C \cap \: T) = 116

The number of people who like thrillers is

n(T) = 116 + 78 = 194

The number of people who like comedies can be calculated using the formula,

n(C \cup \: T) = n(C ) + n(T) - n(C \cap \: T)
We substitute the above values to obtain,

256= n(C ) +194- 116

256= n(C ) +78

256 - 78= n(C )

n(C ) = 178

The number of people who like only comedies

n(C \cup \: T ' ) = 178 - 116

n(C \cup \: T ' ) = 62
Margaret [11]3 years ago
5 0

Answer:

62.

Step-by-step explanation:

256-78-116=62

Simple subtraction.

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tia_tia [17]

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V=lwh /3

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wyatt has (2x-1) one-dollar bills and (4x + 2) five dollar bills. Susan has 3 x dollars more than Wyatt. Find the total amount o
uysha [10]

Answer:

a) $ 22x -9

b) 44x - 18

c) $319

Step-by-step explanation:

Given that,

number of $1 bills wyatt has = (2x-1)

number of $5 bills wyatt has = (4x + 2)

The total amount of money that Wyatt has in terms of x

(2x - 1) + 5(4x + 2)

= 2x - 1 + 20x + 10

= $ 22x -9

The number of pens that Wyatt can buy if each pen costs 50 cents

$(22x - 9) * 100

= 2200x - 900 cents / 50

= 44x - 18

If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has

( 5 (4x + 2) / 2) + ( 2 (21) - 1)

= 215 + 41

= 256

As we know that Susan has $3x more than Wyatt

So,

256 + 3x

= 256 + 3(21)

= $319

5 0
3 years ago
Read 2 more answers
PLZ HELP I WILL GIVE BRAINLIEST...
Delicious77 [7]

Answer:

a. 6

b. 7

c. (b) Kira's

why? b. it has the large sample size

Step-by-step explanation:

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3 years ago
8th grade math . Pythagorran practice <br>​
Serhud [2]

The answers according to rows are:

  • ROW 1 : diameter of base = 10,  base area = 25π, volume of cylinder = 175π    volume of cone = \frac{175}{3}π
  • ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π
  • ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

<h3>What is mensuration?</h3>

Mensuration is an aspect of geometry that deals with measurement of volumes and area.

Analysis:

Row 1

Diameter of base = 2 x radius = 2 x 5 = 10

Base area = πr^{2} = π(5)^{2} = 25\pi

Volume of cylinder = base area x height = 25π x 7 = 175π

Volume of cone  = 1/3 x volume of cylinder = 175π/3

Row 2

Base radius = base diameter/2 = 6/2 = 3

Base area = πr^{2} = π(3)^{2} = 9π

Volume of cone = 1/3 x base area x height

base area x height  = 3 x volume of cone

base area x height = 3 x 40π

Height = 120π/9π = 40/3

Cylinder volume = 3 x cone volume = 3 x 40π = 120π

Row 3

Base area = πr^{2}

36π =  πr^{2}

r2 = \sqrt{36}

r = 6

Base diameter = 2 x 6 = 12

Volume of cone  = 1/3 x base area x height

48π = 1/3 x 36π x height

Height = 4

Cylinder volume = 3 x 48 = 144π

In conclusion,

ROW 1 : diameter of base = 10,  base area = 25π, volume of cylinder = 175π

volume of cone = \frac{175}{3}π

ROW 2 : base radius = 3, base area = 9π, height = 40/3, volume of cylinder = 120π

ROW 3 : base radius = 6, base diameter = 12, height = 4, volume of cylinder = 144π

Learn more about mensuration: brainly.com/question/18541562

#SPJ1

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