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2 years ago

I have no idea what to do

Mathematics

1 answer:

Olin [163]2 years ago

5 0

Step-by-step explanation:

Here we can see it is an isosceles triangle so base angles are equal 

x + x + 80° = 180°<Being sum of angles of triangle >

2x = 180° - 80°

2x = 100°

Therefore x = 50°

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stiks02 [169]

It would be 4.9%, hope this helps :)

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2 years ago

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Sedaia [141]

Answer:

3 centimeters

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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Aloiza [94]

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3 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

andrew-mc [135]

Answer:

$P(X > 0) = 0.9222$

Step-by-step explanation:

For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem.

5 names are selected, so $n = 5$

A success is a name being non-authentic. 40% of the names are non-authentic, so $\pi = 0.40$ .

We have to find $P(X > 0)$

Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:

$P(X = 0) + P(X > 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{5,0}*(0.40)^{0}*(0.6)^{5} = 0.0778$

$P(X > 0) = 1 - P(X = 0) = 1-0.0778 = 0.9222$

5 0

2 years ago