Answer:
1) The probability that ten students in a class have different birthdays is 0.883.
2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.
Step-by-step explanation:
Given : Assume there are 365 days in a year.
To find : 1) What is the probability that ten students in a class have different birthdays?
2) What is the probability that among ten students in a class, at least two of them share a birthday?
Solution :
Total outcome = 365
1) Probability that ten students in a class have different birthdays is
The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...
The probability that ten students in a class have different birthdays is 0.883.
2) The probability that among ten students in a class, at least two of them share a birthday
P(2 born on same day) = 1- P( 2 not born on same day)
![\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]](https://tex.z-dn.net/?f=%5Ctext%7BP%282%20born%20on%20same%20day%29%20%7D%3D1-%5B%5Cfrac%7B365%7D%7B365%7D%5Ctimes%20%5Cfrac%7B364%7D%7B365%7D%5D)
![\text{P(2 born on same day) }=1-[\frac{364}{365}]](https://tex.z-dn.net/?f=%5Ctext%7BP%282%20born%20on%20same%20day%29%20%7D%3D1-%5B%5Cfrac%7B364%7D%7B365%7D%5D)
The probability that among ten students in a class, at least two of them share a birthday is 0.002.
Let x = the # jujubes Sam had
he gave x/2 to jen
jen eats half of it = 1/2(x/2) = x/4
the remaining x/4 he gave to kyle
kyle kept 8 and gave 10 to Kim
so
x/4 - 8 = 10
x/4 = 18
x =72
thus jen had 36 jujubes
jen eat 18 jujubes
Answer:
5.14 mi/h
Step-by-step explanation:
To find the average speed, we simply find the total distance traveled by Tom and divide that by the total time the entire journey took him.
Average speed = (total distance traveled) / (total time taken)
TOTAL DISTANCE TRAVELED
He traveled 3 miles to and 3 miles fro. Hence:
3 + 3 = 6 miles
TOTAL TIME TAKEN
He spent ½ hr to go and ⅔ hr to return back. Hence:
½ + ⅔ = 7/6 hr
Therefore, the average speed is:
v = 6 / (7/6)
v = 36 / 7 = 5.14 mi/h
Tom's average speed was 5.14 mi/h.
Answer:
Principal element is $475.43
Interest payment is $390
Step-by-step explanation:
The amount of interest paid in month one is 4%*$117,000*1/12=$390
The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12
The principal element of monthly payment is the monthly payment minus interest.
principal paid in month one=$865.43-$390=$475.43
Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan
we have 
which is a cubic function.
and 
.
from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .
