Answer:
2.777777 and -7/3
Step-by-step explanation:
2.7182818459 cannot be written in fraction form therefore it is irrational.
2.777777 is rational because it can be written as the fraction 25/9
The square root of 3 is 1.7320508075688772, this number cannot be written as a fraction so it is irrational.
-7/3 is rational because it is already in fraction form.
Answer: Our required probability is 2.8%.
Step-by-step explanation:
Since we have given that
Probability of products slit with new blades have rough edges P(X) = 1%
Probability of products slit with blades of average sharpness exhibit roughness P(Y) = 3%
Probability of products slit with worn blades exhibit roughness P(Z) = 5%
Let A be the selected product that exhibit edge roughness.
P(A|X) = 25% = 0.25
P(A|Y) = 60% = 0.60
P(A|Z) = 15% = 0.15
So, the probability of products that exhibit edge roughness is given by

Hence, our required probability is 2.8%.
Answer:
x = 2 - 5
, x = 2 + 5
Step-by-step explanation:
x² - 4x = 71
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = 71 + 4
(x - 2)² = 75 ( take the square root of both sides )
x - 2 = ±
= ± 5
( add 2 to both sides )
x = 2 ± 5
then
x = 2 - 5
, x = 2 + 5