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1 year ago

If n(A) equals 100 and n(B) is equals to 120 and A is the subset of B, find the value of an n(A union B)

Mathematics

2 answers:

valina [46]1 year ago

8 0

Answer:

200

Step-by-step explanation:

Solution,

Given,

n(A)=100

n(B)=120

A⊂B

n(A∩B)=20

n(A∪B)=n(A)+n(B)-n(A∩B)

n(A∪B)=100+120-20

n(A∪B)=200

shepuryov [24]1 year ago

4 0

its super easy just open your textbook answer key its there

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3 years ago

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2 years ago

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If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

Shkiper50 [21]

Answer:

The area increase by 225%

Step-by-step explanation:

attachment of a triangle

The area of a triangle equilateral is calculated with the next formula:

A= $\frac{a*h}{2}$

$h^{2} +(\frac{a}{2})^{2}$ = $a^{2}$

$h^{2} = a^{2} - \frac{a^{2} }{4}$ = $\frac{a^{2} }{4}$ *3

h= $\sqrt{\frac{a^{2}*3 }{4} }$

h= $\frac{\sqrt{3}*a }{2}$

replacing in the A equation:

A= $\frac{a*\sqrt{3}*a }{2*2}$ 

A= $\frac{\sqrt{3}*a^{2} }{4}$ 

Now each side increse by 50% ⇒ a=1.5a

A= $\frac{\sqrt{3}*(1.5a)^{2} }{4}$ 

A= $\frac{\sqrt{3}*a^{2}* 2.25 }{4}$ 

A=2.25 * $\frac{\sqrt{3}*a^{2} }{4}$ 

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3 years ago

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be su

prisoha [69]

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation $\sigma$ =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202 ÷ 10)^2

= 1568

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2 years ago