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3 years ago

F(x)=x^2-3x-21 is divided by x+4

Mathematics

2 answers:

AlladinOne [14]3 years ago

6 0

By factor theorem, f(-4)=7,therefore x+4 is not a factor of f..and remainder when decided by x+4 is 7

emmainna [20.7K]3 years ago

3 0

By factor theorem, f(-4)=7,therefore x+4 is not a factor of f..and remainder when decided by x+4 is 7

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He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write t

lana66690 [7]

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000,000,000

Population of the country = 53,980,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

$d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}$

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2 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only

Semenov [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

From this formula you have to clear the value of n:

$\frac{d}{Z_{1-\alpha /2}}$ = $\sqrt{\frac{p'(1-p')}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2$ = $\frac{p'(1-p')}{n}$

$n*(\frac{d}{Z_{1-\alpha /2}})^2$ = $p'(1-p')$

n= $p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2$

$Z_{1-\alpha/2}= Z_{0.995}= 2.586$

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

$n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045$

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

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2 years ago

Select all the transformations that take rectangle abcd onto itself

Fittoniya [83]

Answer: (x + 0, y − 4), 180° rotation, reflection over the y-axis.

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2 years ago

Ninth! <br> (if the answer is not applicable to the question it will be reported and removed)

Aliun [14]

The answer is number 3 because if you count the cats in the spinner they are 5 and how many animals in total 10 so this means its 50%

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