Answer:
(a) 11.75%
(b) Profit decreases by $5.88 per calculator.
Step-by-step explanation:
(a) The percentage of failures with time is given by the following expression:
![f(x) = 0.125*e^{-0.125x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%200.125%2Ae%5E%7B-0.125x%7D)
Integrating this function from x = 0 to x = 1 year, gives us the percentage of failures in the first year:
![\int\limits^1_0 {f(x)} \, dx = F(x)=-e^{-0.125x}|_0^1\\F(1) = -e^{-0.125*1}-(-e^{-0.125*0}) = 1-e^{-0.125}\\F(1) =0.1175](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%3D%20F%28x%29%3D-e%5E%7B-0.125x%7D%7C_0%5E1%5C%5CF%281%29%20%3D%20-e%5E%7B-0.125%2A1%7D-%28-e%5E%7B-0.125%2A0%7D%29%20%3D%201-e%5E%7B-0.125%7D%5C%5CF%281%29%20%3D0.1175)
11.75% of the calculators will fail within the warranty period.
(b) If the cost of a calculator is $50, and the profit per sale is $25, the average revenue per calculator is $75. Considering no income in failed calculators, the new cost per calculator is:
![C =\$50*(1+0.1175)\\C=\$55.88](https://tex.z-dn.net/?f=C%20%3D%5C%2450%2A%281%2B0.1175%29%5C%5CC%3D%5C%2455.88)
The effect of warranty replacement on profit is given by the difference in cost per calculator:
![\Delta P= \$50-\$55.88=-\$5.88](https://tex.z-dn.net/?f=%5CDelta%20P%3D%20%5C%2450-%5C%2455.88%3D-%5C%245.88)
Profit decreases by $5.88 per calculator.
1 thru 8.....there are 4 odd numbers (1,3,5,7).....
probability of picking an odd number on first pick is 4/8
without replacement
probability of picking an odd number on 2nd pick is 3/7
probability of both events happening : 4/8 * 3/7 = 12/56 = 3/14
Answer:
FIG 1 AND FIG 2 ARE IN THE RATIO OF 10:24=5:12
For number 7 since the rational number is countable, and the set of real numbers is uncountable, almost all real numbers are irrational. So you should choose false
8 yes! All whole numbers are integers. For an example 0 is a whole number, 0 Is ALSO a integer. So you should choose truth
<h2>
Hello!</h2>
The answer is:
![Sin(A)=0.93](https://tex.z-dn.net/?f=Sin%28A%29%3D0.93)
<h2>Why?</h2>
To solve the problem, remember to set your calculator in "degree mode"
So, we are given that the angle A is equal to 68°
So, we have that:
![Sin(A)=Sin(68\°)=0.93](https://tex.z-dn.net/?f=Sin%28A%29%3DSin%2868%5C%C2%B0%29%3D0.93)
Hence, we have that:
![Sin(A)=0.93](https://tex.z-dn.net/?f=Sin%28A%29%3D0.93)
Have a nice day!