Answer:
6N = T
They will take 96 minutes to add 16 seats.
Step-by-step explanation:
In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.
If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.
⇒ N = kT ........... (1)
Now, N = 2 for T = 12 minutes.
So, from equation (1), 2 = 12k
⇒ 
Therefore, the equation (1) becomes 
⇒ 6N = T ......... (2)
Now, for N = 16, from equation (2) we get,
T = 16 × 6 = 96 minutes.
Therefore, they will take 96 minutes to add 16 seats. (Answer)
Answer: HEY CAN YOU HELP ME ON MINE AND ILL HELP U ON URS
25x - 6 = 24 + 5x
First we collect terms
20x = 30
Now we divide by 20
x = 30/20
x = 1.5
Answer:
a) 19.6%
b) 9.93%
c) 55.515 hours
Step-by-step explanation:
The average American last year worked 44 hours per week and a population standard deviation of 7 hours.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) What percentage of people work at least 50 hours per week?
At least means greater than or equal to
z = 50 - 44/7
z = 0.85714
P-value from Z-Table:
P(x<50) = 0.80432
P(x>50) = 1 - P(x<50) = 0.19568
Converting to Percentage
= 0.19568 × 100
= 19.568
= 19.6%
b) What percentage of people work less than 35 hours per week?
z = 35 - 44/7
z = -1.28571
P-value from Z-Table:
P(x<35) = 0.099271
Converting to percentage
= 0.099271 × 100
= 9.9271 %
= 9.93%
c) How many hours does someone need to work to be in the upper 5% of hours worked per week?
Upper 5% = 95%
z-score for 95th percentile = 1.645
Hence:
1.645 = x - 44/7
Cross Multiply
1.645 × 7 = x - 44
x = 44 + (1.645 × 7)
x = 44 + 11.515
x = 55.515 hours
