The right answer should be 27,681
Answer:
<u>Step 1: Find the x</u>
2x + 5: Solve
3x + 15: Solve
Answer:
Prob = 13/1024 = 0.0127
Step-by-step explanation:
Prob {A correct answer} = Correct option / Total options = 1/4
Prob {A wrong answer} = Wrong options / Total options = 3/4
Prob [3 answers correct] = P (3 correct ,& 2 wrong) or P (4 correct ,& 1 wrong) or P (5 correct, & no wrong)
= [ (1/4) x (1/4) x (1/4) x (3/4) x (3/4) ] + [ (1/4) x (1/4) x (1/4) x (1/4) x (3/4) ] + [ (1/4) x (1/4) x (1/4) x (1/4) x (1/4) ]
( 9/1024 ) + ( 3/1024 ) + ( 1/1024 )
13/1024 = 0.0127
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
