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Hatshy [7]
3 years ago
8

Math equations that equal 31

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0
6x+33-2(3x+1)
17+14
30+1
60-29
18+13
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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
3 years ago
What is y=-2/3 x + 4 in standard form?
maxonik [38]

Answer:

2x + 3y = 12

Step-by-step explanation:

Standard form is Ax + By = C, A, B and C must be intergers, cannot be  fractions or decimals

y = -2/3x + 4 First we want to get rid of  the fractions.  There is only one, so if we multiply both sides by 3 that should do it.

3y = -2x + 12 Now make the constant be on one side by itself

2x + 3y = 12

5 0
3 years ago
Read 2 more answers
Algebra 1: Determine if 4, -1, -6, -11, -16, … is an Arithmetic Sequence. If it is, give the common difference.
Aneli [31]
Yes, here is how we know.
First subtract the first two terms.
4 - ( - 1 ) = 5
Then compare it when you subtract the next pair
-1 - (-6) = 5 
Then the next
-6 - (-11) = 5
And lastly
-11 - (-16) = 5
5 0
3 years ago
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A nutritionist recommends that John eat eggs and fish to meet his body's protein and vitamin B requirements. Each ounce of egg c
pav-90 [236]

Each ounce of egg contains 40 milligrams of protein and 20 milligrams of vitamin B. Each ounce of fish contains 50 milligrams of protein and 10 milligrams of vitamin B

Needs 580 and 200

280 140

300 60

so, 7 eggs 6 fish

4 0
4 years ago
What is the average speed of the journey from my home town to a
Katarina [22]

Answer:

a)0.5 mpm (half a mile per minute) or 30 mph (thirty miles per hour)

b)0.667 mpm (two thirds of a mile per minute) or 40 mph (forty miles per hour)

c)0.60 mpm (two thirds of a mile per minute) or 36 mph (thirty six miles per hour)

Step-by-step explanation:

a)10/20=0.5

b)20/30=0.667

c)30/50=0.6

4 0
3 years ago
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