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MAXImum [283]
3 years ago
11

Which of the following could represent consecutive even integers?

Mathematics
2 answers:
sineoko [7]3 years ago
4 0

Only b. x+1, x+3 as long as x is an odd integer 

a. x+1, x+2, wouldn't be consecutive even integers.     If x is odd (e.g. 1), then 1+1=2 would be even but, 1+2=3 would be odd. 

c. 2x, 2x+1, wouldn't be the answer.  2x will certainly be even but 2x+1 is going to be odd. 

nalin [4]3 years ago
3 0

Answer:

b. x + 1, x + 3

Step-by-step explanation:

Integers : a number with no fraction part is called integers,

eg: ......-3, -2, -1, 0, 1, 2, 3......

Even integers : the integers which are multiple of 2.

Since, the difference between two consecutive even integers is always 2.

Eg : 2 and 4 are consecutive even integers.

⇒ 4 - 2 = 2.

∵ x + 2 - (x + 1) = x + 2 - x - 1 = 1,

x + 3 - (x+1) = x + 3 - x - 1 = 2,

2x + 1 - 2x = 1,

Hence, only x + 1 and x + 3 represent consecutive even integers

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Answer:

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Step-by-step explanation:

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3 years ago
For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l
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Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

X_i \sim \frac{G_1}{2}

E(X_i)=2 \\

Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\

             = \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2

Now we calculate the \bar X \sim N(2, \sqrt{\frac{2}{n}})\\

\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}}  \sim  N(0, 1)\\

\to \sum^n_{i=1}  \frac{X_i - 2}{n}  \times\sqrt{\frac{n}{2}}}  \sim  N(0, 1)\\\\\to  \sum^n_{i=1}  \frac{X_i - 2}{\sqrt{2n}}  \sim  N(0, 1)\\

\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\

\to P(-1 \leq X_n \leq 2)  = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\

                               = 0.92 -0.24\\\\= 0.68

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Answer:

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Step-by-step explanation:

Hope this helps plz mark brainiest  

5 0
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