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4 years ago

Is it possible to build a triangle with the side lengths of 9,7, and 16?

Mathematics

1 answer:

egoroff_w [7]4 years ago

7 0

Answer:

False

Step-by-step explanation:

To be able to build a triangle, the sum of the lengths of any 2 sides must be greater than the length of the third side.

With lengths 9, 7, and 16, 9 + 7 = 16.

You would need 9 + 7 > 16.

Therefore, these sides cannot be used for a triangle.

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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

Find all zeros of <br>f(x)= x^3 + 3x^2 − 3x − 1

PSYCHO15rus [73]

F(1) = 1^3 + 3(1)^1 - 3 - 1 = 1 + 3 - 3 - 1 = 0

so one zero is x = 1, and x-1 is a factor

dividing f(x) by x - 1 gives x^2 + 4x + 1

x = [-4 +/- sqrt (16 - 4)] / 2

x = -0.27, -3.73

zeroes are 1 , -0.27 and -3.73 Answer

4 0

3 years ago

HELP!!! WILL GIVE BRAINLIEST

irga5000 [103]

Answer:

remember to give me brainliest :p

one solution

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What two fractions are between 6/9 and 7/9