All categories

3 years ago

The following table shows the probability of rolling the numbers 1 through 7

Mathematics

1 answer:

Marysya12 [62]3 years ago

4 0

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

$\frac{1+2+3+4+5+6+7}{7}=4$

The second moment is..

$\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20$

$\sqrt{20-4^2}=2$

You might be interested in

A map's key shows that every 5 inches on the map represents 200 miles of actual distance Suppose the distance is 7 inches. What

zepelin [54]

280 mi
1 in= 40 mi

40x7=280 mi

8 0

3 years ago

Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-

AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

$\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\$

So, this integral is convergent.

$\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\$

So, this integral is divergent.

$\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\$

So, this integral is divergent.

4 0

3 years ago

A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and a

olga_2 [115]

Answer:

P(X=3cars) = 0.052

P(X>3 cars) = 0.00638

Step-by-step explanation:

In total there are 7 cars per hour.

Using formulae for geometric Probability

P(X=3) = (7^3×e-7)/3! = 0.0521

P(X>3cars) = (7^2× e-7)/2! =

P(X>3) = 0.0128/2×1 =0.00638

7 0

3 years ago

Mark has a yard in the shape shown the area of his yard is 100 square meters the bottom side (base) is 20 meters what is the dis

vesna_86 [32]

Answer:

5 meters

Step-by-step explanation:

because 100 meters divided by the base equals the Height so 100 divided by 20 = 5

4 0

2 years ago

What is the length of the line TR

8090 [49]

Answer:

Step-by-step explanation:

If the other triangle is part of the problem the triangle increased by 2.5

2.5 * 6 is 15

so 15 is the length of TR

3 0

3 years ago

Read 2 more answers