Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Answer:
72
Step-by-step explanation:
Answer:
Step-by-step explanation:

b = 2/3


a = 7/3
b)

Cross multiply,
2b + 1 = a*(3b - 1)
2b + 1 = a*3b - 3*a
2b + 1 = 3ab- 3a
2b = 3ab - 3a - 1
2b - 3ab = -3a - 1
b(2 - 3a) = -3a - 1

Answer: about 1 cm
Step-by-step explanation:
Answer:
APY = 0.04 or 4%
Step-by-step explanation:
Given the annual percentage rate of 3.5% that is compounded quarterly, and a principal of $6,500:
We can use the following formula to solve for the annual percentage yield (APY):

where <em>r</em> = interest rate = 3.5% or 0.035
<em> n</em> = number of compounding periods per year = 4
We can plug in the values into the equation:




APY = 1.03546 - 1
APY = 0.04 or 4%