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3 years ago

How many points are shared by concentric circles?

Mathematics

2 answers:

Soloha48 [4]3 years ago

5 0

Answer:

Step-by-step explanation:

By Theorem 10.2, in the same circle or congruent circles, if two chords are equal, then their corresponding minor arcs are congruent. Concentric circles have the same center but the circles do not intersect. Therefore, the number of points shared by concentric circles is 0.

likoan [24]3 years ago

5 0

Zero,

Concentric means they all share the same center point. circles within circles. none ever touches another.

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mamaluj [8]

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2 years ago

Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born

NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

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

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

$p = \frac{31}{365} = 0.0849$

Group of 20 friends:

This means that $n = 20$

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

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

$P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773$

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

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2 years ago

Divide 85 into the ratio of 2:3:5

alukav5142 [94]

The actual amount that needs to be divided = 85
The ratio in which the amount needs to be divided = 2:3:5
Let us assume the common ratio to be = x
Then
2x + 3x + 5x = 85
10x = 85
x = 85/10
= 8.5
Then
The ratio in which the number 85 will be divided = 2 * 8.5:3 * 8.5:5 * 8.5
= 17:25.5:42.5
So from the above deduction we can see that the number 85 can be divided in the ratio 17:25.5:42.5

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3 years ago

The number of a countrys unemployed workers decreased from 3.2 million to 2.5 million last year. If the country's population rem

Sever21 [200]

More people have grown up or more people have found jobs

Hope this helps....
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2 years ago