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3 years ago

In a survey of 300 house wires. It was discovered

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

n(A) = 150

n(B) = 200

n(C) = 156

n(A∩B) = 48

n(B∩C) = 60

n(A∩C) = 52

n(A∪B∪C) = 300

so we know the relation as:

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)

= 150 + 200+ 156 - 48 - 60 - 52 - 300

= 46

Hence the number of housewives that had read all three magazine is 46.

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3 years ago

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<u>Step-by-step explanation:</u>

Here we have , Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. We need to find What are the units of measurement for the composite function s(w(h)) . Let's find out:

Basically we have two functions as ,

s(t) : how many signs Mary paints per hour

⇒ $\frac{Signs}{hour}$

w(h) : how many hours per week Mary spends painting the wooden signs

⇒ $\frac{hours}{week}$

In function composition, if we have two function f(x) and g(x) then

(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. So , In s(w(h)) :

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3 years ago

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3 years ago

A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet

Ahat [919]

Answer:

380 square inches

Step-by-step explanation:

We are given the measurements of the Rectangular Prism as

8 inches by 9 inches by 10 inches

Where based on the order of arrangement:

8 inches = Length

9 inches= Width

10 inches = Height

Step 1

Find the amount of wrapping paper needed

Perimeter = 2L + 2W

= 2 × 8 + 2 ×9

= 16 + 18

= 34 inches

Base = L × W

= 8 × 9

= 72 inches

Surface Area of the Rectangular Prism =PH + 2B

Where P = Perimeter

H = Height

B = Base

= 34 × 10 + 2× 72

= 340 + 144

= 484 square inches

The area of the Rectangular prism = 484 square inches

Step 2

So we were told that she used wrapping paper the measured 2 feet by 3 feet.

We would convert the values in feet to inches

1 ft = 12 inches

Length = 2 ft = 2 × 12 = 24 inches

Width = 3 ft = 3 × 12 = 36 inches

We find the area of the wrapping paper

Length × Width = 24inches × 36 inches = 864 square inches.

Step 3

The amount of square inches of wrapping paper left over is calculated as:

Area of the wrapping paper used - Area of the Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the amount of square inches of wrapping paper left over is 380 square inches.

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3 years ago