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Marysya12 [62]
1 year ago
11

A test was given to a group of students. The grades and gender are summarized below A B C TotalMale 5 9 2 16Female 7 11 12 30Tot

al 12 20 14 46If one student is chosen at random from those who took the test, find the probability that the student got a 'C' GIVEN they are female.
Mathematics
1 answer:
faust18 [17]1 year ago
4 0

Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females

From the information given,

number of females that got a C in the test = 12

number of females = 30

Thus,

Probability that the student got a 'C' GIVEN they are female = 12/30

We would simplify the fraction by dividing the numerator and denominator by 6. Thus,

Probability that the student got a 'C' GIVEN they are female = 2/5

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suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
Brilliant_brown [7]

Answer:

I am not sure what the P is.

2,300,000,00. X 5% = $115,000,000. Commission

Step-by-step explanation:

4 0
2 years ago
Aida applied the distributive property to write the equivalent expressions below.
morpeh [17]

Answer:

The answer is b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Rectangles. Please help!
nataly862011 [7]
First you have to canceled out the fours from both side 4x/4-12/4 so x=3 then you do the same thing to the 7x-18

4x-12.
4x/4-12/4. So x=3
The fours cancelled out

7x-18
7x/7-18/7. So x= 2 4/7
The sevens cancelled out

7 0
3 years ago
A tal company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $22. The total cost to rent 5 chai
den301095 [7]

Answer:

$1.5 and $8.75

Step-by-step explanation:

Given data

let tables be x and chairs be y

The total cost to rent 3 chairs and 2 tables is $22

so

3x+2y=22----------1

The total cost to rent 5 chairs and 6 tables is $60

so

5x+6y=60---------2

the system of equation is

3x+2y=22----------1X 6

5x+6y=60---------2X 2

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- 10x+12y=120

8x+0y= 12

8x= 12

divide both sides by 8

x= 12/8

x=$1.5

put x= 1.5 in 2

5(1.5)+6y=60---------2

7.5+6y=60

6y=60-7.5

6y=52.5

divide both sides by 6

y= 52.5/6

y=$8.75

7 0
3 years ago
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