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2 years ago

Simplify 3 ∙ 2x. What is the coefficient? x 2 6 3

Mathematics

1 answer:

siniylev [52]2 years ago

3 0

Answer:

Step-by-step explanation:

Coefficients are always the number being multiplied by (or attached to) the variable, which is shown by a letter

so in 2x, 2 is the coefficient, and x is the variable

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Johnny has 14 apples. He eats 7 and throws away 3, How many does he have left

Liono4ka [1.6K]

Answer:

4 apples left

Step-by-step explanation:

Johnny has 4 apples left because 14 minus how many apples he ate minus how many apples he throws away. 14-7-3=4

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3 years ago

What are all that apply?

Nostrana [21]

height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other. Check the picture below.

7 0

2 years ago

The length of a rectangle is 3 inches longer than half of its width. The area of the rectangle is 416 square inches. How many in

Pie

Answer:

C. 26 Inches

Step-by-step explanation:

Using process of elimination you can tell the answer. 26*(13+3)=416

8 0

3 years ago

The probability that two people have the same birthday in a room of 20 people is about 41.1%. It turns out that

salantis [7]

Answer:

a) Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

b) We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

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

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

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

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

Part a

Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

Part b

We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

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

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

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

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

4 0

4 years ago

PLEASE HELP ME 3 friends are camping in the woods, Bert, Ernie and Elmo. They each have their own

fredd [130]

The answer is B

Reason:

Ernie ?

Bert 30°

Elmo 105°

Ernie was 5.2m Rounded = 5

6 0

3 years ago

Read 2 more answers