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3 years ago

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;

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Pull out like factors :

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Solve : n-6 = 0

Add 6 to both sides of the equation :
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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.

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In this question:

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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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(c) 2/12 = 1/6
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I think it’s right ???

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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,

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

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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