Answer:
A batch of 20 semiconductor chips is inspected by choosing a sample of 3 chips. Assume 10 of the chips do not conform to customer requirements.
a) Number of different samples = 20C3 = =1140
b) 2 good and one bad chip
Number of samples = 10C2 * 10C1 = 45 * 10 =450
c) 2 good 1 bad + 1 good 2 bad + 3 bad
Number of samples = 10C2 * 10C1 + 10C1 * 10C2 + 10C3
=
Answer:
2,200 students
Step-by-step explanation:
To find the number of students, create a proportion which is two equal ratios. Since the middle school and the high school are proportional then they have equal ratios.
Solve for x by cross multiplying by multiplying the numerator and denominator of each fraction.
900(110) = 45(x)
99,000=45x
2,200 = x
Answer:
Step-by-step explanation:
In order to find the answer we need to calculate the directional derivative:
The gradient of f is:
The unit vector can be found as:
The directional derivative at the point is:
Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:
Answer:
Decreased
Step-by-step explanation:
-The rate of growth in food prices can be calculated using the compound interest formula as:
We use the calculated growth rate in food prices to find the potential future value of a 90's income:
#Compare this calculated value to the stated value:
Hence, the real value of income has decreased since it's less than it's future value over the 10-year period.