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:
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Step-by-step explanation:
First we get the same denominator by finding a common multiple.
20 is the lowest common multiple so let's use that.
9/10 will have to change so that the denominator is 20.
From 10 to 20 we have multiplemultiplied it by 2 so we will do the same to the numerator.
9 × 2 = 18.
The fraction is now 18/20.
Now 3/4 – we will get to 20 by multiplying by 5.
3 × 5 = 15
Now we can compare
18/20 and 15/20
9/10 and 3/4
If we let the first integer be x, then the second integer is x+1, and the third is x+2 because they are consecutive. If the sum of them is -96, then you can make an equation.
x + x +1 +x + 2 = -96
solve for x and you've got your first integer. find the values of the other integers and determine which one is the largest.
Answer:
Let's solve your system by substitution.
x+y=−5;2x+2y=−5
Step: Solvex+y=−5for x:
x+y=−5
x+y+−y=−5+−y(Add -y to both sides)
x=−y−5
Step: Substitute−y−5forxin2x+2y=−5:
2x+2y=−5
2(−y−5)+2y=−5
−10=−5(Simplify both sides of the equation)
−10+10=−5+10(Add 10 to both sides)
0=5
Step-by-step explanation: