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4 years ago

The surface of each crystal has an area of

Mathematics

1 answer:

Umnica [9.8K]4 years ago

7 0

Answer:

10,000,000,000 × 10^-1, 1/1,000,000,000^-1

Step-by-step explanation:

Im not sure what you are asking

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Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

drek231 [11]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

Step-by-step explanation:

For this case we have the following probability distribution given:

X 0 1 2 3 4 5

P(X) 0.031 0.156 0.313 0.313 0.156 0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

We can verify that:

$\sum_{i=1}^n P(X_i) = 1$

And $P(X_i) \geq 0, \forall x_i$

So then we have a probability distribution

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

6 0

3 years ago

Which equation represents the relationship between x and y shown in the table?

Hunter-Best [27]

Answer:

y=2x-3

Explanation:

which equation represents the relationship between x and y shown in the table?

x | y

2 | 1

4 | 5

6 | 9

8 | 13

take a look at the values in the table one more,

we find the gradient of the line to be

G=y2-y1/(x2-x1)

G=13-1/(8-2)

slope/gradient=12/6

m=2

from equation of a line graph, we know

y=mx+c

m=gradient

c=intercept

y=vertical axis

x=a point on the horizontal axis

y=2x+c

when x=6, y=9

9=2(6)+C

c=-3

Therefore the equation becomes

y=2x-3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Hi! I hope that I can get the answer

Sophie [7]

Answer:

84 ft ^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (6*7) * 6

volume = 1/3 * (42) * 6

volume = 14 * 6

volume = 84

3 0

2 years ago

Which of the following is the graph of y = 0.25csC(x+1)+1?

REY [17]

The graph should look like this

4 0

3 years ago

Read 2 more answers

You plan to invest $1,210 a year for 7 years at a 9 percent annually? How much will you have in 7 years? Assume the first invest

erastova [34]

Answer:

See below

Step-by-step explanation:

For SIMPLE interest :

1210 + 1210 * .09 * 7 = $ 1972.30

For ANNUAL COMPOUNDING of interest

1210 ( 1 + .09)^7 = $ 2211.93

I do not know which one you need....what are you studying presently?

4 0

2 years ago