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3 years ago

What is 8/9 closer to? A. 1/2 B. 1 or C. 0

Mathematics

2 answers:

nikitadnepr [17]3 years ago

5 0

9/9 = 1 and 8/9 is only 1/9 less than 9/9 which is 1.

Answer: B) 1 8/9 is closer to 1

Arisa [49]3 years ago

5 0

In order to find this out, you could convert all the numbers to have the same common denominator. If you made the denominator 18, then
8/9 = 16/18
1/2 = 9/18
1 = 18/18
0 = 0/18.

This allows a clear comparison which shows that 8/9 is closest to 1 out of those options as it is only 2/18 (or 1/9) different. Therefore, the answer is B.

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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

murzikaleks [220]

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 $\bar X \sim N(2, \sqrt{\frac{2}{n}})\\$

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

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

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

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

$= 0.92 -0.24\\\\= 0.68$

6 0

2 years ago

Lilit [14]

We first find A2, for which we multiply A with itself. We perform matrix multiplication in which we multiply rows of first matrix with columns of second matrix element by element and add.

6 0

2 years ago

Rewrite this decimal fraction as a decimal number.

Charra [1.4K]

Answer:

14.25

Step-by-step explanation:

14 25/100= 14*100+25/100=

1400+25/ 100

= 1425/100

= 14.25

8 0

3 years ago

Read 2 more answers

Work this out by giving your answer as a fraction 2/3 - 1/2

suter [353]

When subtracting fractions, you need to make sure the denominators are the same. In 2/3 - 1/2, the denominators are different. To make them the same, find the least common denominator. In this case, the common denominator is 6

2/3 becomes 4/6

1/2 becomes 3/6

Now subtract the fractions with the common denominator

4/6 - 3/6 = 1/6

The answer is 1/6

Hope this helps. Please mark me as Brainliest. Thanks!

7 0

1 year ago

Read 2 more answers

Simplify.

natima [27]

Its 2y+7z hope dis helps