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1 year ago

⊙M≅⊙N and ZY=32.6. Identify ST rounded to the nearest tenth.

Mathematics

1 answer:

aalyn [17]1 year ago

7 0

The measure of length ST will be 6.4 So option B is correct.

<h3>What is a circle?</h3>

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given; M≅N and ZY=32.6

Identify ST;

Radius of the circle r = 24

We know that from pythagoras theorem;

ZP^2 + PM^2 = ZM^2

Also, 2 ZP = ZY

So,

16.3^2 + PM^2 = 24^2

PM^2 = 310.7

PM = 17.6

Since, M≅N then PM = SN.

therefore, SN = 17.6

ST = 24 - 17.6 = 6.4

Hence, The measure of length ST will be 6.4 So option B is correct.

Learn more about circle;

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A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

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3 years ago

Y = 2(x – 4)– 6<br> Vertex:<br> y-intercept: _

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Answer:

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Step-by-step explanation:

vertex can be derived from this formula

(4, -6)

to find y intercept you need to set x=0

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3 years ago

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Answer:

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Step-by-step explanation:

Let the total number of trees be x.

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So,75%of x=30

or,(75/100)*x=30

or,x=(30*100)/75

or,x=40 [ANS]

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3 years ago