A2 + B2
Best answer gets a brainliest and thank and 5 star

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

Learn more about Discrete Random Variable:

https://brainly.com/question/12970235

#SPJ4

Answer:

42

Step-by-step explanation:

because its 42

Answer:

z equals 5

Step-by-step explanation:

if you subtract 9 by 4 you get 5... hope that helps :)

Hence the value of c = 4 in [3,5] for Rolles theorem.

Rolle's Principle

If a function f is defined in the closed interval [a, b] in a manner that meets the requirements listed below.

The interval [a, b] is closed and the function f is continuous.

ii) On the open interval, the function f can be differentiated (a, b)

iii) If f (a) = f (b), then at least one value of x exists; in this case, let's assume that this value is c, which is situated between a and b, i.e. (a c b), in such a way that f'(c) = 0.

There exists a point x = c in (a, b) such that f'(c) = 0 if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).

let f(x)=x²-8x+12 in [3,5]

i) f(x) is continuous in closed interval [3,5] because f(x) is algebraic function.

ii) f(x) is differentiable in the open interval (3,5) since the algebraic function is differentiable.

now f(3)=3²-8*3+12

f(3)= 9-24+12

f(3)= -3

f(5) = 25-40+12

f(5)= - 3

f(3) = f(5)

f'(x)= 2x-8

x=c ,c in [3,5]

f'(c)= 2c-8

2c-8=0

c=4

Hence the value of c = 4 in [3,5] for Rolles theorem.

learn more about Rolles theorem.

https://brainly.com/question/13972986

#SPJ1

Answer:

(x+1) (x+6)/(x+7) (x+8)

X+1=0 so x=-1 and -6 respectively on the

x+7=0 so x=-7 and -8 in the

1denominator

Step-by-step explanation:

answer x<-1 and x<-6/

x<-7 x<

Answer:

  B.  a line segment

Step-by-step explanation:

The wording "straight path" tells you the figure is a line or part of a line. The description "two endpoints" tells you the part of the line is bounded, hence must be ...

  a line segment

A. A circle has no end points is not a straight path

C. An angle is the space between two rays. Those have one common endpoint.

D. A ray is part of a line with one end point.

If we compare the given values then we can find that the database B is more likely to have smaller standard deviation.

Given that the values in database A are 0 from 100 and has mean of 50 and Database B has entries from 49 to 51 and also has mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding mean. The square of a standard deviation is known as variance.

Database A has values from 0 to 100 and has mean of 50. Because the values are somewhat very larger than 50 and in database B has values from 49 to 51,there are more chances that the standard deviation of database B will have smaller value than from standard deviation of database A.

Hence if we compare the given values then we can find that the database B is more likely to have smaller standard deviation.

Learn more about standard deviation at brainly.com/question/475676

#SPJ1

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

use w=12 to solve for l

l=2(12)

l=24

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

For such more question on equation:

https://brainly.com/question/17145398

#SPJ8

Answer:

f = -9

Step-by-step explanation:

3(x)

3(-9)

-27

Answer:

b.2×2•3•5

hope it helps

Answer:

on what

Step-by-step explanation:

??????

Answer:

What do you need help with?

Step-by-step explanation:

Upload a picture

Answer:

4- 3(x -3) =17 x =10

Step-by-step explanation:

Answer:

The area is changing at the point of  \(\mathbf{61200 m^2/year}\)

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)

At the time t

\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)

Replacing the values back into equation 2, we get:

\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)

\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)

The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

Learn more about Functions here :

https://brainly.com/question/11602229

#SPJ9

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ1

Answer:

C) No solution

Step-by-step explanation:

Because we know that y=3x-2, we can substitute the value of y into the first equation to get x:

-6x+2y=-6

-6x+2(3x-2)=-6

-6x+6x-4=-6

-4=-6

However, there is one problem! Since both sides are not equal to each other, there's no solution. Therefore, C is the only correct answer.

Answer:8

Step-by-step explanation:

1×8=8

8×8=64

1/8=8/64

Answer:

Total number of package Deli made = 48 package

Step-by-step explanation:

Given:

Amount of cheese block = 12 pound

Amount of cheese in each package = 1/4 pound

Find:

Total number of package Deli made

Computation:

Total number of package Deli made = Amount of cheese block / Amount of cheese in each package

Total number of package Deli made = 12 / [1/4]

Total number of package Deli made = 12 x 4

Total number of package Deli made = 48 package

Answer: 48 packages

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

On solving, we found that the solutions to the given inequality are (-5,0),(-7,-4) and (6,-2).

What is meant by inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.

The given inequality is:

 2x-9y ≥ -10

a) (-5,0)

Substituting in the inequality

2 * -5 - 9* 0 = -10

This is a solution to inequality.

b)  (-4,1)

Substituting in the inequality

2 * -4 - 9* 1 = -8-9 = -17 ∠ -10

This is not a solution to inequality.

c)  (-7,-4)

Substituting in the inequality

2 * -7 - 9* -4 = -14 + 36  = 22 > -10

This is a solution to inequality.

d) (6,-2)

Substituting in the inequality

2 * 6 - 9* -2 = 12 + 18  = 30 > -10

This is a solution to the inequality.

Therefore on solving, we found that the solutions to the given inequality are (-5,0),(-7,-4) and (6,-2).

To learn more about inequality, follow the link.

https://brainly.com/question/25275758

#SPJ1

the answer is D no solution

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Thus, the answer is D

Step-by-step explanation:

Answer:

y=6x

Step-by-step explanation:

The slope-intercept form is y=mx+b. m in the equation represents the slope, which is 6 and b in the equation represents the y-intercept, 0. Everytime there's an equation with 0 as y-intercept, you don't have to write the equation like this: y=6x+0 but like this is better: y=6x.

Problem

What numbers equal -3 

I need some examples

Solution

Some examples are:

-24/8= -3

-6/2= -3

36/-12=-3

-27/9 =-3

Answer:

The answer is 34,623.23

This is because in the decimal .226, the second 2 is the hundredth place. however, behind it is a term greater than 5, meaning that we have to round up the hundredths place to .23.

If this answer was helpful please consider giving brainliest!

Answer: 3^3 Square root 3

Step-by-step explanation:

Answer:

I quite strongly believe that the first option is the correct one since the following applies,

19/20

20*5=100

and

19*5=95

which in the end is equivalent to 95/100

Answer:

5

Step-by-step explanation:

to get from 5 to 1 you divide by 5 that is how you get the scale factor