All categories

2 years ago

If no (A) = 40%, no (B) = 30%, n (A∩B) = 20% then find n ( (A B) using formula.

Mathematics

2 answers:

Vesnalui [34]2 years ago

8 0

Answer:

solution:-We know that for any two finite sets A and B, n(A∪B)=n(A)+n(B)−n(A∩B).

Here, it is given that n(A)=20,n(B)=30 and n(A∪B)=40, therefore,

n(A∪B)=n(A)+n(B)−n(A∩B)

⇒40=20+30−n(A∩B)

⇒40=50−n(A∩B)

⇒n(A∩B)=50−40

⇒n(A∩B)=10

Hence, n(A∩B)=10

Step-by-step explanation:

hope it helps you friend ☺️

Paladinen [302]2 years ago

6 0

n(a) =40

n(b) =30

n(aπb) =20

n(aub)=x (let)

we know that

n(aub)=n(a)+n(b)–n(aπb)

x=40+30–20

x=70-20

x=50

n(aub)=50

You might be interested in

An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackbo

olya-2409 [2.1K]

Answer:

a) True

b) Parameter

Step-by-step explanation:

We are given the following in the question:

An accounting professor wants to know the average GPA of the students enrolled in her class.

Population:

It is defined as the collection of all variables of interest.
A sample of individuals of interest is drawn from a population.

For the given case

Individuals of interest:

Students enrolled in accounting class

Population of interest:

Students enrolled in accounting class

Characteristic of interest:

Average GPA of the students enrolled in her class.

a) The population is all students enrolled in the accounting class.

The given statement is true as it contains all the observation of all the individuals of interest.

b) The computed average GPA of all the students enrolled in the class is 3.29

Statistic is a descriptive measure that describes a sample where as a parameter is a measure that describes the population.

Since 3.29 is the average of all the students enrolled in her class that is the average GPA of population.

Thus, 3.29 is a parameter.

6 0

3 years ago

Paul deposited $95,000 in a savings account that pays 4% interest compounded daily. What is his balance at the end of six months

Arada [10]

Answer:

$\$96,919.02$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=6/12=0.5\ years\\ P=\$95,000\\ r=4\%=4/100=0.04\\n=365$

substitute in the formula above

$A=95,000(1+\frac{0.04}{365})^{365*0.5}$

$A=95,000(1+\frac{0.04}{365})^{182.5}=\$96,919.02$

5 0

4 years ago

Find the area? need help guys!!

Sergeu [11.5K]

Area = (x+6)(x+2) = x^2 + 8x + 12

8 0

2 years ago

Step 1 5x- y= 4

valkas [14]

Answer: C, In Step 2 the expression for y should be subsituted in the other equation.

5 0

3 years ago

A rectangle has the

SVEN [57.7K]

Answer:

15.5 inches

Step-by-step explanation:

Length of rectangle = 22 inches
Perimeter = 75 inches

To calculate : Width of the rectangle.

★ Perimeter of rectangle = 2( l + w )

→ 75 = 2(22 + w)

→ 75 = 44 + 2w

→ 75 – 44 = 2w

→ 31 = 2w

→ 31 ÷ 2 = w

→ 15.5 inches = Width

Therefore, width of the rectangle is 15.5 inches.

6 0

3 years ago