Answer: 5/18
Step-by-step explanation:
The sample space when two 6- sided dice are rolled is given below:
(+) 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
The total sample space is 36.
Sum greater than 8 are : {9,10,11,12}
which are 10 in number:
Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :
number of the sum greater than 8 / Total sample space
That is ;
P(sum greater than 8) = 10/36
P(sum greater than 8) = 5/18
(7 1/2) / (3/4) =
(15/2) / (3/4) =
15/2 * 4/3 =
30/3 =
10 <== there will be 10 three-fourth ft pieces
Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.
let for greater than m mileage company A will
charge less than company B.
charge for company A for m mileage= $93
charge for company B for m mileage= $65 + $0.70*m
so,
93 ≤ 65+0.70*m
93-65 ≤ 65+0.70*m -65
28 ≤ 0.70*m
28*10 ≤ 7 *m
280 ≤ 7m
280/7 ≤ 7m/7
40 ≤ m
Ans: greater than 40 mileage Company A will charge less than Company B
Step-by-step explanation:
Answer:
x = (5,3)
Step-by-step explanation:
the quadratic formula is x =( -b±√(b^2-4ac))/2a
to solve for x, a=1, b=-8,c=15
x =( -(-8)±√((-8)^2-4*1*15))/2(1)
x=8 ± √(64-60))/2(1)
x=(8 ± √(4)) / 2
x=(8 ± 2) / 2
solve with '+'
x=(8 + 2) / 2 = 10/5 = 5
solve with '-'
x=(8 - 2) / 2 = 6/2 = 3
x = (5,3)
