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Debora [2.8K]
3 years ago
8

Ifx- 9 is a factor of x2 – 5x – 36, what is the other factor?

Mathematics
2 answers:
kkurt [141]3 years ago
7 0

Hey there! :)

Answer:

(x + 4).

Step-by-step explanation:

When finding the factors of a polynomial with a leading coefficient of 1, we must look for numbers that sum up to -5 and multiply into -36.

We are already given -9 as one of the numbers, so simply divide from -36 to solve for the remaining number.

-36 / (-9) = 4.

Therefore, this equation in factored form would be:

(x - 9) (x + 4)

The other factor being (x + 4).

Serga [27]3 years ago
6 0
(X+4) is the answer to this
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In what order would we solve for n?<br> 3n - 4 = 14
Blizzard [7]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation;

3*n-4-(14)=0

Pull out like factors :

3n - 18 = 3 • (n - 6)

Solve : 3 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solve : n-6 = 0

Add 6 to both sides of the equation :
n = 6
3 0
3 years ago
A pollster obtains a list of all the residential addresses in a certain town, and uses a computer random number generator to cho
Margaret [11]

Answer:

Cluster sampling.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

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Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

People divided into groups, by households.

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6 0
3 years ago
9. Two fair dice are rolled. Find the odds of rolling the following sums.
Pavel [41]
(a) 1/12
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I think it’s right ???
6 0
2 years ago
What is the exponential form of root 17
shusha [124]

Answer:  17^{1/2}

This is 17 to the 1/2 power

The rule is

\sqrt[n]{x} = x^{1/n}

the n is the index of the root. For square roots, n = 2, so,

\sqrt[n]{x} = x^{1/n}\\\\\sqrt[2]{17} = 17^{1/2}\\\\\sqrt{17} = 17^{1/2}\\

4 0
3 years ago
Read 2 more answers
The length of the human pregnancy is not fixed. It is known that it varies according to a distribution which is roughly normal,
fgiga [73]

Answer:

a) Figure attached

b) P(234

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(234

And we can find this probability with this difference:

P(-2

An we know using the graph in part a that this area correspond to 0.95 or 95%

c) P(250

And we can find this probability with this difference:

P(-1

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

d) P(X

And using the z score we got:

P(X

And that correspond to approximately 0.15%

Step-by-step explanation:

Part a

For this case we can see the figure attached.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part b

Let X the random variable that represent the length of human pregnancy of a population, and for this case we know that:

Where \mu=266 and \sigma=16

We are interested on this probability

P(234

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(234

And we can find this probability with this difference:

P(-2

An we know using the graph in part a that this area correspond to 0.95 or 95%

Part c

P(250

And we can find this probability with this difference:

P(-1

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

Part d

We want this probability:

P(X

And using the z score we got:

P(X

And that correspond to approximately 0.15%

5 0
3 years ago
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