MATHEMATICS
HIGH SCHOOL

Find the probability that the student got a B:

Find the probability that the student was female AND got a "C":

Find the probability that the student was female OR got an "B":

If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:

Answer:

Answer:

P(Got a B) =

P(Female AND got a C) =

P(Female or Got an B =

P(got a 'B' GIVEN they are male) =

Step-by-step explanation:

Given:

A B C Total

Male 6 18 3 27

Female 13 20 12 45

Total 19 38 15 72

We know that the probability = The number of favorable outcomes ÷ The total number of possible outcomes.

Total number = 72

1) If one student is chosen at random, Find the probability that the student got a B:

Got B = 38

P(Got a B) =

Simplifying the above probability, we get

P(Got a B) =

2) Find the probability that the student was female AND got a "C":

Female AND got a C = 12

P(Female AND got a C ) =

Simplifying the above probability, we get

P(Female AND got a C) =

3) Find the probability that the student was female OR got an "B":

Female OR got an B = Total number of female + students got B - Female got 20

= 45 + 38 - 20

= 73 - 20

= 63

P(Female OR got an B ) =

P(Female or Got an B =

4) If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:

Total number of students who got B = 38

Student got a B given they are male = 18

P(got a 'B' GIVEN they are male) =

P(got a 'B' GIVEN they are male) =

MIDDLE SCHOOL

PLEASE ANSWER Which statement best explains whether the table represents a linear or nonlinear function?

A. It is a linear function because there is a constant rate of change in both the input and output values.

B. It is a nonlinear function because there is a constant rate of change in both the input and output values.

C. It is a linear function because the input values are decreasing.

D. It is a nonlinear function because the input values are increasing.

The answer is A. It is a linear function because there is a constant rate of change in both the input and output values.

MIDDLE SCHOOL

A store buys an item for $28 and sells it for $35. What is the percent markup?

Answer:

The correct answer is 25 %.

Step-by-step explanation:

The markup is the percentage that reflects the difference between the price at which a product is sold and the price at which it was purchased.

The way to calculate this percentage is as follows:

(Cost with which the product is sold - unit cost) / unit cost x 100

Therefore we should do the following calculation:

In this way we verify that the correct answer is 25%.

The percent markup is 25%

28*1.25=35

28*1.25=35

MIDDLE SCHOOL

Slope intercept form of slope 5 and (2,3)

explain please!

Answer:

y = 5x - 7Step-by-step explanation:

The slope-intercept form:

m - slope

b - y-intercept

We have the slope m = 5. Therefore we have the equation

Put the coordinates of a given point (2, 3) to the equation:

x = 2, y = 3

subtract 10 from both sides

Finally:

HIGH SCHOOL

Stella divides 12/8 on her calculator and gets 1.5. Assuming that Stella has not adjusted the calculator's settings, what do the displayed digits tell you about the answer? A) Stella made an error.

B) The answer is exactly 1.5.

C) The calculator rounded the answer.

D) The calculator truncated the answer.

Stella divided 12/8.

If we divide 12 by 8, we get exactly 1.5.

Let us check given options one by one .

A) Stella made an error : Stella didn't made an error because it's just division of two numbers.

B) The answer is exactly 1.5. : On dividing 12 by 8, we get exactly 1.5, so this option is correct.

C) The calculator rounded the answer. : On dividing 12 by 8, we get exactly 1.5. So, no rounding is required.

D) The calculator truncated the answer. : On dividing 12 by 8, we get exactly 1.5. So, no truncation in the answer.

Therefore, correct option is B) The answer is exactly 1.5.

COLLEGE

Identify any solutions to the system shown here. 2x+3y > 6 3x+2y < 6

It is (0.5,2) & (-2,4).

They rearrange to

y > -(2/3)x + 2 and

y< -(3/2)x + 3

the equations of the lines have negative slopes and y intercepts of 2 and 3 and second equation is steeper than the first so we could try a point where y = 4 and and say a negative x value of -1 and see if they fit the inequalities

2(-1) + 3(4) = 10 > 6

and

3(-2) + 2(4) = 2 < 6

So one point would be (-1, 4)

y > -(2/3)x + 2 and

y< -(3/2)x + 3

the equations of the lines have negative slopes and y intercepts of 2 and 3 and second equation is steeper than the first so we could try a point where y = 4 and and say a negative x value of -1 and see if they fit the inequalities

2(-1) + 3(4) = 10 > 6

and

3(-2) + 2(4) = 2 < 6

So one point would be (-1, 4)

MIDDLE SCHOOL

Mrs Gonzalez bought centerpieces to put on each table at a graduation party. She spent $31.50. There are 8 tables each requiring either a candle or vase. Candles cost $3 and vases cost $4.25. How many of each type did she buy?

Answer:

2 candles, 6 vases

Step-by-step explanation:

Assume: c = # of candles, v = # of vases

Systems: c + v = 8, 3c + 4.25v = 31.50

Multiply first equation by -3, then subtract equations: 1.25v = 7.5

v = 6

Substitute: c + 6 = 8, c = 2

MIDDLE SCHOOL

3x+10 in a word phrase

When put into a word phrase 3x+10 is three of x plus ten, three x plus ten etc.

MIDDLE SCHOOL

Pllzzz help :))

Simplify (4x2y)(3xy)(2xy)3.

96x4y5

96x6y5

24x4y5

24x6y5

The simplified form of the expression is .

Given

Simplify (4x2y)(3xy)(2xy)3.

What is multiplication?Multiplication, one of the four basic operations of arithmetic, gives the result of combining groups of equal sizes.

Therefore,

The simplified form of the expression is;

Hence, the simplified form of the expression is .

To know more about Multiplication click the link given below.

brainly.com/question/1548486

Answer:

The correct answer is

B. 96x^6y^5

I took the test and the second option ( 96x^6y^5 ) is the correct one among the others.

MIDDLE SCHOOL

Jackson runs 7/8 mile in 1/2 hour. How many miles does Jackson run in 1 hour? Show work. Please answer this I don’t get it!!

Answer:

Jackson runs 14/8 miles per hour or 7/4 when simplified.

Step-by-step explanation:

In order to find this, take the distance he runs and divide by the time it takes. This will give you the rate per hour.

7/8 miles ÷ 1/2 hour = 14/8 miles per hour OR 7/4mph