Use the diagram to find the angle measures of triangle. Recall that the sum of the angle measures of a triangle 180

Find the number of primes less than 190 using the principle of inclusion-exclusion.

Troyanec [42]

The number of primes less than 190 using the principle of inclusion-exclusion are 42

<h3>Principle of inclusion- exclusion</h3>

The principle of inclusion-exclusion is known as a counting technique that computes the number of elements satisfying at least one of several properties and guaranteeing that the numbers are not counted twice.

Prime numbers are numbers only divisible by 1 and itself.

Prime numbers less than 190 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181

They are 42 in number

Therefore, the number of primes less than 190 using the principle of inclusion-exclusion are 42

Learn more about prime numbers here:

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8 0

2 years ago

About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for

timama [110]

Answer:

The standard deviation is of 8.586.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

About 9% of the population has a particular genetic mutation.

This means that $p = 0.09$

900 people are randomly selected.

This means that $n = 900$

Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

$\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586$

The standard deviation is of 8.586.

3 0

3 years ago

I need to simplify √(5+2√2) and √(6+2√5)

SIZIF [17.4K]

This expression is easier than it looks like. I thought that to solve it you have for example to express the 2 via 10 * 5^-1 and stuff like that - but you can multiply and divide this expression by some factor. In our case first we multiply by conjunctive expression root(5-2root2) and the second by root(6+2root5). In first we get root16 and the second calculate.

6 0

2 years ago

Please help! I don't know this question.

Dimas [21]

Answer:

B. 14/15

Step-by-step explanation:

I hope this helps.

5 0

3 years ago

Read 2 more answers

Determine P(product is an even number) and P(product is an odd number).

Alchen [17]

What does that mean cause I don't know if it is possibility

5 0

3 years ago