The perimeter of school crossing signs is 192 inches what is the sign length of each side

About 13% of the population of a large country is nervous around strangersnervous around strangers. If two people are randomly

Molodets [167]

Answer:

1.69% probability both are nervous around strangers.

24.31% probability at least one is nervous around strangers.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are nervous around strangers, or they are not. The people are chosen randomly, which means that the probability of a person being nervous around strangers is independent from other people. So we use the binomial probability distribution to solve this problem.

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.

About 13% of the population of a large country is nervous around strangers.

This means that $p = 0.13$ .

Two people are randomly selected

This means that $n = 2$ .

What is the probability both are nervous around strangers?

This is $P(X = 2)$

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

$P(X = 2) = C_{2,2}.(0.13)^{2}.(0.87)^{0} = 0.0169$

1.69% probability both are nervous around strangers.

What is the probability at least one is nervous around strangersnervous around strangers?

This is $P(X \geq 1)$

$P(X \geq 1) = P(X = 1) + P(X = 2)$

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

$P(X = 1) = C_{2,1}.(0.13)^{1}.(0.87)^{1} = 0.2262$

$P(X = 2) = C_{2,2}.(0.13)^{2}.(0.87)^{0} = 0.0169$

$P(X \geq 1) = P(X = 1) + P(X = 2) = 0.2262 + 0.0169 = 0.2431$

24.31% probability at least one is nervous around strangers.

3 0

3 years ago

To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3,

djyliett [7]

Answer:

Option A. is correct

Step-by-step explanation:

Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.

For example $2x^3,7x^3$ are like terms and $5x^2,9x^5$ are unlike terms.

Given polynomial is $3x^3+x^2-8x^5+2x^3-4x$

Like terms need to be combined to write the polynomial in standard form

Here, like terms are $3x^3,2x^3$

Option A. is correct.

5 0

4 years ago

Find the component form of vector v that has an initial point at A and a terminal point at B?

Elena-2011 [213]

The x component goes from 1 to 7 ( 6 to the right) and y component goes down 2 ( = -2) so the answer is the second choice. (6, -2)

4 0

4 years ago

Read 2 more answers

How do you do this? 10 mi/h= ___ ft / min HELP PLEASE !

34kurt

Knowing that one mile is 5,280 feet and an hour is 60 minutes:
10 x 5280 = 52800
60 x 1 = 60
52800 / 60 = 880 feet per minute
Hope this helps!

8 0

4 years ago

Read 2 more answers

An 8-foot ladder is leaning against a wall. The top of the ladder is 5.5 feet from the ground.

Kobotan [32]

my guess would be c. but id wait for someone else to answer just to be sure

3 0

3 years ago