16.25 penalties.
35% of 25 is 8.75.
25-8.75=16.25
Let x= hours spent job A
let y= hours spent job B
14x + 12.50y = 600
x + y = 45
x=-y +45
14(-y+45) + 12.5y = 600
-14y + 630 + 12.5
-1.5x + 630 = 600
-1.5x=-30
x=20
(20) + y = 45
y= 25
20 hours job A, 25 hours job B
7. Is 4 tickets for 1 dollar is the worse price. The unit price is .25 cents per ticket, and the better deal which is 25 tickets for 5 dollars has the unit price of .20 cents per ticket. Hope this helps! I will work on the other questions in a minute.
Answer: There is enough evidence to support the claim that the population mean of the students at this college is less than the recommended number of 8.4 hours.
Step-by-step explanation:We are given the following in the question:
Population mean, μ = 8.4 hours
Sample mean, = 7.72 hours
Sample size, n = 237
Alpha, α = 0.01
Sample standard deviation, s = 1.02 hours
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since, the calculated test statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
Thus, there is enough evidence to support the claim that the population mean of the students at this college is less than the recommended number of 8.4 hour
6^2- 3^2= 27
Then you find the square root of 27 and it would be 5.20