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3 years ago

I need help remembering the steps to solve a polynomial equation

1 answer:

3 0

Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

3x^3-12=0

Step 2: Use a factoring strategies to factor the problem.

3x(x^2-4)=0
3x(x+2)(x-2)=0

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

3x=0 or x+2=0 or x-2=0

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

x=0 or x=-2 or x=

I hope this helped you!

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the length of the hypotenuse of 30 degrees 60 degrees and 90 degrees triangle is 16. whats the perimeter

ser-zykov [4K]

The answer you are looking for would be: 
106 
Because to find the perimeter you have to add the sides so 30+60=90+16+106 
Hope that helps!! 
Have a wonderful day!!

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3 years ago

If f(x) = 5 + 8, what is f(x) when x = 10?

sveta [45]

Answer:

Step-by-step explanation:

that right

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4 years ago

a market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the

enot [183]

Answer and explanation:

Answer:

Two sample t test

Explanation:

The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.

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3 years ago

165% as a fraction. PLEASE I NEED IT NOW

Ilya [14]

Answer:

33/20

Step-by-step explanation:

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3 years ago

Read 2 more answers

Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged, and relea

Talja [164]

Answer:

a) For this case the random variable X follows a hypergometric distribution.

b) $E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c) $P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d) $P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

Step-by-step explanation:

The hypergometric distribution is a discrete probability distribution that its useful when we have more than two distinguishable groups in a sample and the probability mass function is given by:

$P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}$

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes

The expected value and variance for this distribution are given by:

$E(X)= n\frac{M}{N}$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}$

a. What is the distribution of X?

For this case the random variable X follows a hypergometric distribution.

b. Compute the values for E(X) and Var(X)

For this case n=10, M=5, N=25, so then we can replace into the formulas like this:

$E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c. What is the probability that none of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d. What is the probability that all of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

4 0

4 years ago