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2 years ago

A polynomial function with rational coefficients has the following zeros. Find all additional zeros.

Mathematics

1 answer:

leonid [27]2 years ago

7 0

1 + 3i, - sqrt 10 would be the other two answers

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Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

3 years ago

What is 35 written as a percent?

Otrada [13]

It is written as 35% or 0.35

Hope this helps!! :)

6 0

2 years ago

Read 2 more answers

What are the first five terms

tangare [24]

Answer:

Its the first choice.

Step-by-step explanation:

an = the nth term. so:

a1 = 6(1) + 1 = 7

a2 = 6(2) + 1 = 13

a3 = 6(3) + 1 = 19

The common difference is 6.

5 0

2 years ago

Read 2 more answers

Please help me I will truly appreciate it

Gemiola [76]

Answer:

I think it is 7.6

the square root of 58 is 7.6

7.6 x2 = y y/2= 7.6 again

5 0

2 years ago

Read 2 more answers

Please help me i need an answer

umka2103 [35]

3 / 5 = (x+1) / (y-2)
↓
↓ multiply by 5 / 3
↓
1 = 5 * (x+1) / 3 * (y-2)
↓
↓ move and simplify
↓
5x + 5 = 3y - 6
↓
↓ minus 5
↓
5x = 3y - 11
↓
↓ divide by 5
↓

Answer : x = (3y - 11) / 5

4 0

2 years ago