Answer:
9/70
Step-by-step explanation:
Mathematically;
Average rate of change on an interval [a,b] is;
f(b) - f(a)/b-a
f(0) = -3/5
f(3) = -3/14
a = 0
b = 3
Making the substitution, we have
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
Answer:
To maximize return, A with 390000 and B with 210000
Step-by-step explanation:
Given that a financier plans to invest up to $600,000 in two projects
Let x be the amount invested in 8% and y in 16%
Other information given is the investment in project B is riskier than the investment in project A, she has decided that the investment in project B should not exceed 35% of the total investment.
i,.e. 
Also 
The objective is to maximize interest function
subject to the above two constraints.
The corner points would be P(390000,210000) or Q(600000,0)
Calculate Z for these two points
Profit at P = 
Profit at Q = 
So to maximize return, A with 390000 and B with 210000
Megan rounded to the thousands place.
Answer:
(a) P-value = 0.001
Conclusion: The average reflectometer reading for the new type of paint under consideration is greater than 20.
(b) P-value = 0.036
Conclusion: The average reflectometer reading for the new paint under consideration is 20
Step-by-step explanation:
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
(a) n = 16, t = 3.3, a = 0.05
Cumulative area of the test statistic t is 0.9995
P-value = 1 - 0.9995 = 0.0005 = 0.001 (to 3 decimal place)
Conclusion:
Reject H0 because the P-value 0.001 is less than the significance level 0.05.
(b) n = 8, t = 1.8, a = 0.01
Cumulative area of the test statistic t is 0.9641
P-value = 1 - 0.9641 = 0.0359 = 0.036 (to 3 decimal places)
Conclusion:
Fail to reject H0 because the P-value 0.036 is greater than the significance level 0.01
Answer:
1st one does
Step-by-step explanation:
