Answer:
1). 0.903547
2). 0.275617
Step-by-step explanation:
It is given :
K people in a party with the following :
i). k = 5 with the probability of 
ii). k = 10 with the probability of 
iii). k = 10 with the probability 
So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)
= 1 - P (choosing the n different months out of 365 days) = 
1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)
= 
= 
= 0.903547
2).P( k = 10|at least 2 share their birthday in same month)
=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)
= 
= 0.0.275617
Answer:
At least 1.72 miles per day.
Step-by-step explanation:
Given: Goal of running is at least 50 miles in a month.
Andrea have already run 7 miles.
Days left in the month is 25.
As given, Andrea have already run 7 miles.
∴ Andrea need to run this month= 
Days remaining this month is 25.
Now, finding miles need to run each day to meet her goal.
Miles need to run each day= 
⇒ Miles need to run each day= 
∴ Andrea need to run at least 1.72 miles to meet her goal this month.
Answer:
1.68 hours
Step-by-step explanation:
A triangular prism<span> has 5 faces, 3 being rectangular and 2 being </span>triangular<span>. The </span>area<span> of the rectangular faces can be found by multiply the base and height lengths together. The </span>area<span> of the </span>triangular<span> faces can be found by multiplying the base and height and dividing by 2.</span>
Answer: $432
Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.