Math help! =[?

Question

bob chose an integer from set{1,2,3,4} and sheila chose an integer from set {5,6,7,8} What is probability tat sum of their nmbers is greater than 7? expres as commn fraction

I ride a course in 1 hr and 24 minutes at a average rate of 9mph. U travel same course at 6mph. How many hours will it tke u to cover the course?

20studnts bought tikets for a party. All money receied for those 20 tickets was used to buy beverages. An addiional 10 students bought tickets. All 30 studens reived 3 dollars refund. How many dollars were used to buy beverages?

WNBA champs have a 12player roster that inclues 2 stars. How many different starting lineups of 5 players can be chosen if the 2 stars must be in the starting lineup?

A 4 digit number uses 1,2,3,4 exactly once. What is the proababilty that number is muktiple of 4? express as fraction.

length of hypotenuse of right triangle is 41 cm, one leg is 9 cm. how many sq cm are in area of triangle?

PLEASE PLEASE PLEASE DO NOT TELL ME TO DO MY OWN HW. YOU'RE WASTING YOUR TIME AND MINE. i KNOW WHEN YOU PUT DO IT UR SELF U JUST WANT STUPID POINTS CUZ U "ANSWERED" MY QUESTION. IF UR NOT GONNA PUT THE RIGHT ANSWER DONT BOTHER PUTTING IT AT ALL

Answer 1

1) The total combinations of numbers possible is 16. Of these there are only 3 combinations which have a sum not greater than seven, these are 1+ 5, 1+6 and 2+5

So the propability sum of their nmbers is greater than 7 is 13/16

2) You did the course at 9mph in 1hr and 24 mins
Your friend is running the same course at 6 mph which is 6/9 = 2/3 times slower than you

So he will need (3/2) * 84 minutes to complete the course

This works out to 126 minutes which is 2 hours and 6 minutes

3)
The ticket money of the 10 students was responsible for the refunds for 30 students

so ticket money for each student = 90/10 = 9 dollars

Also beverage cost = 20 * 9 = 180 dollars

4) Since the two stars have to be in the team, you must find out how to choose 3 people from 10

This works out to 10C3 = 10*9*8/3! = 720/6 = 120

5) For this number to be divisible by 4 it should end in 24, no other combination works out

There are a total of 4*3*2 = 24 possible numbers

Assuming that 2 and 4 are the last two numbers, we have only 2 combinations such that the number is divisible by 4

1324 and 3124

So the propability that your number is divisible by 4 is 2/24 = 1/12

6) square of (Length of hypotenuse) = square of side1 + square of side2


sq of 41 = sq of 9 + sq of y

sq of y = sq of 41 - sq of 9

y = sqroot of ((41+9)(41-9))

y = sqroot of (50*38) = sqroot(2*25*2*19) = 10*sqroot(19)

Use this to find the area

Answer 2

1) 13/16
2) 2 h 6 min
3) can't answer since $ for ticket and beverage not provided
4) there's a formula of permutation for this but i can't think of it off the top of my head
5) don't know
6) 180

Answer 3

bob integer set: 13/16
course rate: 56 mph
triangle: 40 sq cm