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Levart [38]
3 years ago
9

If x / y is an integer, which of the following statements must be true?

Mathematics
1 answer:
valkas [14]3 years ago
5 0
Only E) is true. If I were to arbitrarily pick x = 2.2 and y =1.1, then I could show that A), B), C), and D) to be false, given x/y = 2.2/1.1 = 2 (which is an integer). However for E), if we define x/y = n where n is an integer, then by rearranging terms, we can show x = n*y where n still equals an integer and our original equation is still valid.
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Help i need the answer now!!!
sveticcg [70]

Answer:

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4 0
2 years ago
Can someone check my work?. 1. Simplify the given expression.. (7 − 3i) • (2 − i) . 4 + i (MY ANSWER) . . 14 + 3i . . 11 − 13i .
Annette [7]
1. (7 − 3i) • (2 − i)
It is simplified as follows:
14 - 7i  -6i - 3
11 - 13i

2. <span>(−5 + 3i) • (1 − 2i) 
</span><span>It is simplified as follows:
</span><span>-5 + 10i + 3i + 6
1 + 13i

3. (1 + 3i) + (2 − 5i) 
</span><span>It is simplified as follows:
</span>1 + 3i + 2 − 5i<span>
3 - 2i

4. (6 + 2i) − (8 − 3i) 
</span><span>It is simplified as follows:
</span><span>6 + 2i − 8 + 3i
</span>-2 + 5i
4 0
3 years ago
8. Let X be the number of cars per minute passing a certain point of some road between 8am and 10am on a Sunday. Assume that X h
Lana71 [14]

Answer:

P (3 or fewer) =0.2650

Step-by-step explanation:

Mean = x` = 5

The Poisson distribution formula  is given by

P(X) = e-ˣ` x`ˣ/ x!

The mean is 5 and the X takes the values 0,1,2,and 3 which means 3 or fewer, so we add the probability of all the values of X to get the desired Value of X.

P(3 or fewer ) = e-⁵ (5)³/3!+  e-⁵ (5)²/2! +e-⁵ (5)/1!+e-⁵ (5)⁰/0!

Putting the Values

P (3 or fewer) = 0.006737 . 125 / 6 + 0.006737 . 25 / 2 +0.006737 . 5 / 1 + 0.006737 . 1 / 1

P (3 or fewer) = 0.140374 + 0.08422+ 0.03369 +0.006737

P (3 or fewer) =0.2650

7 0
3 years ago
Evaluate 2(x+4)^2 - (3y+5)^3 for x= -3 and y= -1
UNO [17]
<span>2(x+4)^2 - (3y+5)^3
at x=-3 and y=-1

2(-3+4)^2 - ((3*-1)+5)^3
2 (1)^2 - (2)^3
2 - 8
(-6)</span>
5 0
3 years ago
Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cooki
IrinaVladis [17]

Answer:

4/13 or 30.769%

Step-by-step explanation:

5 0
2 years ago
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