Answer:
The probability that a part is good given that it passed the inspection machine is P=0.978.
Step-by-step explanation:
As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.
Then, if we have:
Probability of being a good part P(G)=0.90
Probability of being a patially defective part P(P)=0.02
Probability of being a completely defective part P(D)=0.08.
Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92
Then, the probability of having a good part, given that it passed the inspection machine is:
To reduce the radical, you have to factorize 108.
108 is a multiple of 3, so to factorize it, you can divide it by 3
You can rewrite the square root as:
![\sqrt[]{3\cdot36}=\sqrt[]{3}\cdot\sqrt[]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%5Ccdot36%7D%3D%5Csqrt%5B%5D%7B3%7D%5Ccdot%5Csqrt%5B%5D%7B36%7D)
The square root of 36 is equal to 6 so you can write the expression as:
![\sqrt[]{3}\cdot\sqrt[]{36}=6\sqrt[]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%7D%5Ccdot%5Csqrt%5B%5D%7B36%7D%3D6%5Csqrt%5B%5D%7B3%7D)
Answer:
a = 85° , b = 30° , c = 65°
Step-by-step explanation:
∠ a and 85° are alternate angles and are congruent , so
a = 85°
∠ c and 65° are alternate angles and are congruent , so
c = 65°
a, b and c lie on a straight line and sum to 180° , that is
a + b + c = 180°
85° + b + 65° = 180°
150° + b = 180° ( subtract 150° from both sides )
b = 30°
Answer:You have 4 quarters and 45 pennines
Step-by-step explanation:
When you read this, you immediately get this feeling that the answer is
(1 and 3/4) times (5) . The only problem is that it's kind of messy to
try and do the multiplication with (1 and 3/4) in that form, so it's a lot
easier if you change it to a different form ... you don't change the value
of the number, you just write it differently.
In place of (1 and 3/4), you could use 1.75 , or you could use 7/4 .
They're both exactly the same amount as (1 and 3/4), but they look
different, and they're easier to work with.
Since the problem wants the answer as a fraction or mixed number,
let's use 7/4 in place of (1 and 3/4).
OK. Five bags were used on Thursday, and (7/4) of that many were used
on Friday.
(7/4) x (5 bags) = <u>35/4</u> bags . . . . . That's the improper fraction.
The mixed number is (<u>8 and 3/4</u>) bags.
