To change a percentage to a decimal, first note that the percentage is:
55.0%
To change a percentage to a decimal, move the decimal point to the left two place values, and drop the percentage sign.
55.0% = 0.55
0.55 is your answer
hope this helps
If you have 20 square<span> pieces of wood, describe all the different ways you could make a rectangle by placing them side by side.</span><span>
1X20, 2X10, 4X5</span>
The answer is $1720
215×8=1720
Answer:
a = 0.05
b = 0.028
c =0.014
Step-by-step explanation:
Given that;
inspector A visually inspected 1000 ceramic mugs and found flaws in 36 of them.
Let X represent Inspector A
P(X) = ![\frac{36}{1000}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B1000%7D)
= 0.036
inspector B visually inspected 1000 ceramic mugs and found flaws in 42 of them.
Let Y represent Inspector B
P(Y) = ![\frac{42}{1000}](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7B1000%7D)
= 0.042
A total of 950 mugs were found to be good by both inspectors.
i.e (X∩Y)' = 950
P (X∩Y)' = ![\frac{950}{1000}](https://tex.z-dn.net/?f=%5Cfrac%7B950%7D%7B1000%7D)
= 0.095
We are tasked to find :
a) the probability that a flaw was found in this mug by at least one of the two inspectors [i.e P (X∪Y)]
b) the probability that flaws were found in this mug by both inspectors.
[i.e P ( X∩Y)]
c) the probability that a flaw was found by inspector B but not by inspector A. [i.e P (X) - P ( X∩Y)]
With a);
P (X∪Y) = 1 - P(A∩B)'
P (X∪Y) = 1 - 0.950
P (X∪Y) = 0.05
b)
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.036 + 0.042 + 0.05
P(X∩Y) = 0.028
c)
P (X) - P ( X∩Y) = 0.042 - 0.028
P (X) - P ( X∩Y) = 0.014
Therefore;
the probability that a flaw was found in this mug by at least one of the two inspectors = 0.05
the probability that flaws were found in this mug by both inspectors = 0.028; &
the probability that a flaw was found by inspector B but not by inspector A = 0.014