Answer:
0.84
Step-by-step explanation:
Given that Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:
P(A) = 0.86, P(B) = 0.79, P(A') = 0.14, P(AUB) = 0.95
We are to find out P(A'UB)
We have
![P(A'UB) = P(A')+P(B)-P(A' \bigcap B)\\= 1-P(A) +P(B)-[P(B)-P(A \bigcap B)]\\= 1-0.86+0.79-P(B)+[tex]P(A'UB)=0.14+0.79-0.79+0.70\\=0.84](https://tex.z-dn.net/?f=P%28A%27UB%29%20%3D%20P%28A%27%29%2BP%28B%29-P%28A%27%20%5Cbigcap%20B%29%5C%5C%3D%201-P%28A%29%20%2BP%28B%29-%5BP%28B%29-P%28A%20%5Cbigcap%20B%29%5D%5C%5C%3D%201-0.86%2B0.79-P%28B%29%2B%5Btex%5DP%28A%27UB%29%3D0.14%2B0.79-0.79%2B0.70%5C%5C%3D0.84)
P(A \bigcap B)[/tex]
Answer:
a square
Step-by-step explanation:
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
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