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
44.
The closer it gets to -19, the closer the number goes to 44. It never hits it exactly though, but based off the trend (43.95, 43.995, 43.9995) we can tell that it gets closer to 44 each time.
Hope this helps! (:
4(x + 3) = 6 - x
First, expand to remove parentheses.
Second, subtract '6' from both sides.
Third, subtract '12 - 6' to get 6.
Fourth, subtract '4x' from both sides.
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
Sixth, divide both sides by '-5'.
Seventh, change the whole fraction into a negative.
Eighth, switch your sides.

Answer as fraction:

Answer as decimal: -1.2
The probability that student scored more than 850 we shall proceed as follows:
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228
Answer: P(x>850)=0.0228