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White raven [17]

2 years ago

7

Use the Distributive Property to expand 4(8x - 2y)-3=

1 answer:

choli [55]2 years ago

5 0

Answer:

32x-8y-3

Step-by-step explanation:

4(8x-2y)-3

4 x 8x = 32x

4 x 2y = -8y

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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 the solution to the equation x + 11 = 57? (Input a whole number only.) Numerical Answers Expected! Answer for Blank 1:

Ymorist [56]

X + 11 = 57
- 11 - 11
x = 46

6 0

3 years ago

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the va

Andrew [12]

Answer:

$a = 3.7464$

$b = 16$

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in $a * 10^b$

From the question, we have:

$People = 4.46 * 10^9$

$Breath = 8.4 * 10^6$ breath/person in a year

The number of breath is calculated by:

$Overall = People * Breath$

So, we have:

$Overall = 4.46 * 10^9 * 8.4 * 10^6$

Reorder

$Overall = 4.46 * 8.4* 10^9 * 10^6$

$Overall = 37.464* 10^{9+6}$

$Overall = 37.464* 10^{15}$

Using scientific notation $a * 10^b$ ;

The value (a) must be in the following interval $0 \le a \le 1$

So, we have:

$Overall = 3.7464 * 10 * 10^{15$

$Overall = 3.7464 * 10^{16$

By comparing the above with: $a * 10^b$

$a = 3.7464$

$b = 16$

7 0

2 years ago

Which expression has a value of 15 when p = 12?

tigry1 [53]

The answer to this question is p+3

5 0

1 year ago

How many standard deviations tend to fall on either side of the mean in a distribution?

Bogdan [553]

This percentage of scores fall within one standard deviation<span> of the mean.</span><span> 68%</span><span> This percentage of scores fall on either side of the distribution:</span><span> 50%</span>

7 0

2 years ago