Plan 1 = 29.94 + 0.10x
Plan 2 = 32.99 + 0.05x
Plan 1 = Plan 2
29.94 + 0.10x = 32.99 + 0.05x
0.10x - 0.05x = 32.99 - 29.94
0.05x = 3.05
0.05x/0.05 = 3.05/0.05
x = 61
61 MB of data is needed to make both plan equal.
to check: x = 61
29.94 + 0.10(61) = 32.99 + 0.05(61)
29.94 + 6.10 = 32.99 + 3.05
36.04 = 36.04
Answer:
Step-by-step explanation:
Weekly wages at a certain factory are
normally distributed. The formula for normal distribution is expressed as
z= (x - u)/s
Where
u = mean
s = standard deviation
x = weekly wages
From the given information,
u = 400
s = 50
The probability that a worker
selected at random makes between
$350 and $400 is expressed as
P(350 lesser than or equal to x lesser than or equal to 400)
For x = 350
z = (350 - 400)/50 = -50/50 = -1
z = -1
From the normal distribution table, the corresponding z score is 0.1587
For x = 400
z = (400 - 400)/50 = 0/50 = 0
z = 0
From the normal distribution table, the corresponding z score is 0.5
P(350 lesser than or equal to x lesser than or equal to 400)
= 0.5 - 0.1587 = 0.3413
