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Mathematics

1 answer:

katovenus [111]2 years ago

5 0

D is the only viable answer among these, as A, B, and C all contain two even integers which, by definition, have a greatest common factor of 2.

Correction: I was incorrect in saying that all even integers have a greatest common factor of 2; 2 is at least guaranteed to be one of the common factors in any group of even numbers, but these examples all have it as their greatest common factor as well.

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Evaluate -5 to the power of 2

xeze [42]

Answer:

the answer is -25

Step-by-step explanation:

-5 x -5= -25

negative x negative= negative

5 0

2 years ago

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How is adding positive and negative fractions similar to adding intergers ?

Paha777 [63]

Answer:

When you are adding or subtracting a negative fraction, you usually want to consider the numerator as negative. The method is just the same, except now you may need to add negative or positive numerators. Example 1: ... To add the fractions with unlike denominators, rename the fractions with a common denominator.

Step-by-step explanation:

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2 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:

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