Answer:
A) 1/3200000
B) 19/20
Step-by-step explanation:
Percentage population of graduates = 5
Proportion of graduates from 100 random samples = percentage × number of samples
Proportion of graduates = 0.05 × 100 = 5
Probability of having 5 graduates among the 100 random samples:
P(1 graduate) = possible outcome / total required outcome
P(1 graduate) = (5 / 100) = 1/20
P(5 graduates) = (1/20)^5
P(5 graduates) = 1/3200000
Probability of never being a graduate = (1 - probability of being a graduate)
Probability of never being a graduate = ( 1 - (1/20)) = 19/20
Answer:
$26.87
Step-by-step explanation:
if the shirt was 35% off, then you paid 65% of the cost
that value can be found by:
39 x .65 = 25.35 (this is the amount paid for the shirt)
sales tax of 6% on 25.35 is:
.06 x 25.35 which equals 1.52
25.35 + 1.52 = 26.87
So for this problem, you will need to write out the equation before you can solve the question. The square of two times an integer translates into 2x². In a word problem, "is" means =. Therefore, 2x² is equal to the other half of the equation. To write out the other half of the equation, you have to know that "is more than" means addition. So, 10x+6 is the other half of the equation. your final equation becomes 2x²=10x+6. Then solve the equation like in any other problem: 2x²=10x+6 becomes 2x²-10x-6=0, and then factor or use the quadratic formula.
