9514 1404 393
Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
Answer: Hong drove the truck for 294 miles.
Step-by-step explanation:
Let m represent the number of miles for which he drove the truck.
There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. It means that the expression for the cost of driving the truck for m miles in a day is
20.95 + 0.9m
Hong had to pay $285.55 when he returned the truck. It means that
20.95 + 0.9m = 285.55
0.9m = 285.55 - 20.95
0.9m = 264.6
m = 264.6/0.9
m = 294 miles
To solve this question, you¨ll need to use a table of the standardized Normal distribution, or you could use a graphing calculator. The answer will be the cumulative property which will be a number with decimals. However, this represents the students who had a lower score then her, You´ll need to subtract this from 1 in order to get the opposite number, which will be the kids who scored higher. Be sure to multiply the result by 100 to get a percentage. Your answer should be 0.806 hope this helped!
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
