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arlik [135]
3 years ago
14

Which of the following statements is true?. . A.A tangent is never a secant.. B.A secant is always a chord.. C.A chord is always

a radius.. D.A diameter is never a chord.
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0

The <em>correct answer</em> is:

A) A tangent is never a secant.

Explanation:

A tangent is a line that touches a circle in exactly one point. A secant is a line that touches a circle in two different points.

Since a tangent only touches once and a secant touches twice, there is no way a tangent can be a secant.

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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)

Or

\\ 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%).

5 0
3 years ago
A hospital did a ten-year study on patients who used its services. One thousand patients were randomly selected and followed ove
Ugo [173]

Answer:

s

Step-by-step explanation:

s

8 0
3 years ago
Help!!!!
shusha [124]

Answer:

x = 4

Step-by-step explanation:

Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)

2x + 4 = 12

2x = 8

x = 4

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3 years ago
Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages a day. If the book was 350
Ostrovityanka [42]

Answer:

5x + 25

Step-by-step explanation:

3 0
3 years ago
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Write 2^40 as an exponent with a base of: a 2^2; b 2^5; c 2^8; 2^10
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Exact Form:  a = 6, 2 3

Decimal Form: a = 6 , 0. ¯ 6

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3 years ago
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