MATHEMATICS
HIGH SCHOOL

9th grade 0.3

10th grade –0.1

11th grade 0.2

12th grade –0.8

For which data set(s) is a linear regression model reasonable?

~ 9th grade and 11th grade data sets

~ 10th grade data set

~ 10th grade and 12th grade data sets

~ 12th grade data set

Answer: 10th grade and 12th grade data sets

This is because both have a negative correlation coefficient, meaning they are showing regression, or decrease.

This is because both have a negative correlation coefficient, meaning they are showing regression, or decrease.

Answer:

Answer:

12th grade data set

Step-by-step explanation:

COLLEGE

The probability of event A is x, and the probaility of event B is y. If the two events are independent, which condition must be true?

P(A|B) = x

Answer:

The condition P(A|B) = x is true.

Step-by-step explanation:

Given : The probability of event A is x, and the probability of event B is y.

If the two events are independent.

To find : Which condition must be true?

Solution :

P(A)=x and P(B)=y

If two events are independent

Then

The formulas for conditional probabilities are

If we substitute the independent condition in conditional probability formulas we get,

Applying the given condition,

Therefore, The condition P(A|B) = x is true.

HIGH SCHOOL

6-2x=2(15-x)

A. No solutions

B. -5

C. 5

D. All real numbers

6-2x=2(15-x)

distribute

6-2x=30-2x

add 2x to both sides

6=30

fasle

no solution

A is answer

distribute

6-2x=30-2x

add 2x to both sides

6=30

fasle

no solution

A is answer

HIGH SCHOOL

Determine which system below will produce infinitely many solutions. A) −6x + 3y = 18

4x − 3y = 6

B)2x + 4y = 24

6x + 12y = 36

C)3x − y = 14

−9x + 3y = −42

D) 5x + 2y = 13

−x + 4y = −6

Infinitely many solution means the lines have to be the same

3x - y = 14....multiply everything by -3

-9x + 3y = - 42...notice that this is the same as the other equation...therefore, it is the same line with infinite solutions...so ur answer is C

3x - y = 14....multiply everything by -3

-9x + 3y = - 42...notice that this is the same as the other equation...therefore, it is the same line with infinite solutions...so ur answer is C

MIDDLE SCHOOL

Is 9.99 rational or irrational

Answer:

Rational

Step-by-step explanation:

A rational number can be written as a fraction of the form.

and a and b are integers.

Hence in this case a=999 and b=100.

Since both are integers with b being a non-zero integer, we conclude that 9.99 is a rational number.