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3 years ago

Suppose x + y = 6 and xy = 2. What is x2y + xy2? 12 24 36 42 48

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

Answer:

Step-by-step explanation:

x + y = 6 and xy =2

Left sides multiplied= right sides multiplied

Multiply (x+y) by xy = 6*2

(x+y) xy = 6*2

Distribute

x^2y + xy^2 = 12

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Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns $3 more per hour than gabe

mel-nik [20]

Answer:

- Gabe earns 13.5 per hour

x ------------------ 4 ---- 8 --------- 12 ------ 16

Earnings ----- 57 ---- 111 ------- 165------ 219

Step-by-step explanation:

5 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

Which set of numbers does -5 belong

tester [92]

Is there any more to this question? Because-5 doesn’t belong anywhere

3 0

3 years ago

3 orange picks for every 2 green. if there are 25 picks in all, how many picks are orange?

Marta_Voda [28]

3+2=5
25÷5=5
5×3=15
There are 15 Orange picks.

8 0

3 years ago

Read 2 more answers

Special right triangles: what is the value of x? enter your answer in the box.

tiny-mole [99]

I think you meant to add more to your question (posting the specific problem).
In general, one special right triangle is the <span>45°-45°-90° triangle, in which both legs are congruent and the hypotenuse = √2 * the length of the leg. if you happen to not have the length of the leg, the formula for finding the leg is: leg = hypotenuse / √2

Another special right triangle is the </span><span>30°-60°-90° triangle. With this kind of triangle the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the length of the shorter leg.
hypotenuse = 2 * shorter leg
longer leg = √3 * shorter leg</span>

7 0

3 years ago