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3 years ago

A _____ is a function that assigns a numerical value to every possible outcome in a sample space.

1 answer:

swat323 years ago

7 0

The answer is:

A Ramdom variable is a function that assigns a numerical value to every possible outcome in a sample space.

It is a number that represents a result of an event or a random experiment. This variable does not depend on other factors and its values are random, without a specific order. For example: when you roll a dice, the number that you get is a random variable, because in 6 attempts you may get 1,6,4,2,2,5 and then, in another 6 attempts, you may get 3,3, 6,2,1,6.

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Hey guys someone please help me with this please

Harlamova29_29 [7]

I think the answer is B.
If that's not it, then it must be A.

4 0

3 years ago

What is the x-intercept of the graph whose equation is y+1=x3 ?

Illusion [34]

Answer:

the equation is y= 3x - 1

Step-by-step explanation:

to find the intersection with x just substitute 0 to Y.

0=3x-1

3x=1

x=1/3

8 0

3 years ago

Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times t

Anika [276]

Answer:

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c$

Step-by-step explanation:

Given

$\int\limits {\frac{x}{x^4 + 16}} \, dx$

Required

Solve

Let

$u = \frac{x^2}{4}$

Differentiate

$du = 2 * \frac{x^{2-1}}{4}\ dx$

$du = 2 * \frac{x}{4}\ dx$

$du = \frac{x}{2}\ dx$

Make dx the subject

$dx = \frac{2}{x}\ du$

The given integral becomes:

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du$

Recall that: $u = \frac{x^2}{4}$

Make $x^2$ the subject

$x^2= 4u$

Square both sides

$x^4= (4u)^2$

$x^4= 16u^2$

Substitute $16u^2$ for $x^4$ in $\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du$

Simplify

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du$

In standard integration

$\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)$

So, the expression becomes:

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)$

Recall that: $u = \frac{x^2}{4}$

$\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c$

4 0

3 years ago

Simple interst for $750 at 6.5 interest for 3 years

ser-zykov [4K]

Considering that you mean 6.5% interest yearly, the interest gained would be:
$146.25

and the total amount would be $896.25

Hope this helped!

4 0

3 years ago

Read 2 more answers

A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path

katrin [286]

Answer:

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Step-by-step explanation:

7 0

3 years ago