Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%
Answer:
More
Step-by-step explanation:
Because the journey is 120km long, and the mortoristgoes less than 60km per hour. So in 2 hours, the motorist will go less than 120 km. So he needs more than 2 hours to go 120 km
Answer:
50 total penguins
Step-by-step explanation:
In the following example x = the total number of penguins.
Set it up as follows.
15 over x = 30 over 100
Cross multiply the numbers. (30 times x) and (15 times 100)
This results in 30x = 1500.
Divide both sides by 30 which results in x = 50.
This means that there is a total of 50 penguins.
In the following example x = the number of Emperor penguins.
If you would like to double check this, set up as follows.
x over 50 = 30 over 100
Cross multiply the numbers. (30 times 50) (100 times x)
This results in 100x = 1500.
Divide both sides by 100 which results in x =1 5.
This means that there are 15 Emperor penguins.
Answer: x = 17.2
Step-by-step explanation:
So we can combine 8.7x and 1.9x as they are considered like terms.
So basically since they have the same base of x we can disregard the x when subtracting.
So its more like 8.7-1.9 which = 6.8
Now add the x back
So it is 6.8x = 116.96
Now we need to isolate the variable.
To do this we need to divide the 6.8 on both sides.
So x = 116.96/6.8
x = 17.2
