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dybincka [34]
3 years ago
5

Line segment XZ is congruent to line segment XZ because of the:

Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

They are both the same line

Step-by-step explanation:

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the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,
kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • One in ten students are named Joe, hence p = \frac{1}{10} = 0.1.
  • There are 15 students in the class, hence n = 15.

The probability that at least one of them is named Joe is:

P(X \geq 1) = 1 - P(X = 0)

In which:

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

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

Then:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0
3 years ago
Write the equation in standard form for the circle with radius 11 centered at the origin.
MissTica

Answer:

x^2+y^2=121

Step-by-step explanation:

Since you are at (0,0), you don't need to put K or H for the equation (x-h)^2+(y-k)^2=a^2.

8 0
3 years ago
Estimate the quotient of 239.63 ÷ 7.51.
Crank

Answer:

About 30

Step-by-step explanation:

The value 239.63 rounds to 240

The value 7.51 rounds to 8

Divide 240 over 8 and we get 240/8 = 30

6 0
3 years ago
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