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3 years ago

Question 2 of 10

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

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What is 48,100,000,000,000 in scientific notation?

Radda [10]

48,100,000,000,000 in scientific notation is 4.81E+13.

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3 years ago

Read 2 more answers

How do you do 5+5?

steposvetlana [31]

Answer:

If you had 5 apples and Johnny gave you five more how much do you have? Lets count

10 OMG 5+5 is 10

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3 years ago

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

∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

olganol [36]

Answer:

x = 21°

Step-by-step explanation:

Vertical angles have the same measures, therefore:

3x - 30 = 2x - 9

x - 30 = -9

x = 21°

8 0

3 years ago

PLZ!!!! HELP ASAP!!! Problem is in the picture

Strike441 [17]

Step-by-step explanation:

pythagoras theorem: c²=a²+b²

Where c= longest side of a right angle triangle

AB= 6+r = c

AD= 12 =a

CD= r =b

(6+r)² = 12²+ r²

36+12r+r² =144 +r²

12r+r²-r²=144-36

12r=108

r= 108/12

r=9

5 0

3 years ago