Answer:
3/7
Step-by-step explanation:
The probability of at least is 1 - the probability of at most
P(at least x) = 1 - P(at most x)
The given is:
1. A bus arrives at a bus stop every 35 minutes
2. You arrive at the bus stop at a random time
3. You will have to wait at least 20 minutes for the bus
∵ The bus arrives at a bus stop every 35 minutes
∵ You arrive at the bus stop at a random time
∵ You will wait at most for 20 minutes for the bus
∴ P(at most 20 minutes) =
∵ P(at least 20 minutes) = 1 - P(at most 20 minutes)
∴ P(at least 20 minutes) = 1 -
∴ P(at least 20 minutes) =
- Simplify the fraction by divide up and down by 5 and you will get your answer!
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Answer:
27.7% of third year girls study biology
Answer:
(First step for obtaining a common denominator for the two fraction)

Step-by-step explanation:

where,
a is acceleration of an object.(Need to calculate)





Now we will simplify above expression for a
First we make common denominator.
Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get
(First step for obtaining a common denominator for the two fraction)
Now we combine the numerator


Let t=number of years since 1991.
Then
P(t)=147 e^(kt) ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715
Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
Answer:

Step-by-step explanation:
Let p represent cost of each drink.
We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be
.
We are also told that the large pizza costs three times as much as one drink, so the cost of la pizza would be
.
We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.
Since the cost of one drink is p, so cost of 3 three drinks would be
.
The total cost of one large pizza, one medium pizza, and three drinks would be 
Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.

Therefore, Mary will have
dollars left after making all of her purchases.