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3 years ago

Can someone help please

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

First you have to find the last side of it.
P= 182

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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

4 years ago

) Solve the simultaneous equations x + 6y = 20 х+ x + 2y = 8

ollegr [7]

Answer

x + 6y = 20 {eq -1}

x + 2y = 8. {eq-2)

elimination method

4. 4

y=3

substitute y=3 into eq 2

x + 2y =8

x +2(3)=8

x +6=8

x=8-6

x=2

8 0

3 years ago

Read 2 more answers

NO LINKS PLEASE

Stolb23 [73]

Answer:13/20 and 14/20

Step-by-step explanation:

3/5=12/20 3/4=15/20

6 0

3 years ago

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length

Sidana [21]

Answer:

length = 20 mt

Width = 16 mt

Step-by-step explanation:

Let the length of the field be x

width of the field be y

Hence formula of the perimeter is given as

P=2(x+y)

P=72(given)

72=2(x+y)

Dividing both sides by 2 we get

x+y=36---(A)

Also given that width of the parallelogram is 4 meters less than its length

Hence

y=x-4

or x-y=4 ---(B)

Adding A and B

2x=40

x=20

y=x-4

y=20-4=16

Hence length = 20 mt

Width = 16 mt

3 0

4 years ago

Is 5-5 a zero or 5+(-5)?

Olenka [21]

5-5 is your answer
hope this helps!

8 0

3 years ago

Read 2 more answers