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3 years ago

2/9 x = 3/15. 2/5 x = 7/12.

Mathematics

1 answer:

vodka [1.7K]3 years ago

3 0

Answer:

1 x= 9/10 or 0.9

2 x= 35/24 or 1 11/24

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For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

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4 years ago

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3 years ago

In Arithmetic Sequences you are either adding or subtracting a constant<br> term. True or False

Soloha48 [4]

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3 years ago

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3 years ago

A and b are monomials where a = 125 and b = 27p12. what is the factored form of a – b?

torisob [31]

The factored form of a - b is $\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$ .

<h3>What is monomial factorization ?</h3>

A monomial is an expression that is the product of constant and non-negative integer powers of x, like $3x^{2}$ ..

A monomial is expressed as a product of two or more other monomials when it is factored.

Here,

a = 125

$b=27 p^{12}$

To find: a - b

a - b = 125 - $27 p^{12}$$

a - b = $5^{3}-\left(3 p^{4}\right)^{3}$$

We know that,

$x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$

Finding the factored form of a - b using this method:

$a - b=\left(5-3 p^{4}\right)\left(5^{2}+5\left(3 p^{4}\right)+\left(3 p^{4}\right)^{2}\right)$

$a-b=\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$

So, factored form of a - b is $\left(5-3 p^{4}\right)\left(25+15 p^{4}+9 p^{8}\right)$ .

Learn more about monomial factorization here:

brainly.com/question/26278710

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2 years ago

2/9 x __ = 3/15. 2/5 x __ = 7/12.

2/9 x = 3/15. 2/5 x = 7/12.