9. Simplify the expression. 8 – 5(12x + 8) A) 36x + 24 B) –60x – 32 C) –60x + 16 D) –60x + 48
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Answer:
P(at least 1 dull blade)=0.7068
Step-by-step explanation:
I hope this helps.
This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.
So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.
P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1
P(at least 1 dull blade)=1-P(no dull blades)
But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.
So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.
Also since are consecutive events, you need to multiply the events.
The probability that the assembly is replaced the first day is:
P(at least 1 dull blade)=1-P(no dull blades)
P(at least 1 dull blade)=0.7068
The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
<em><u>Solution:</u></em>
Given the statement:
Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen
Let us first understand the given statement,
Let the number be "x"
" sum of a number and four" means x + 4
"Three sets of a sum of a number and four" translated to 3(x + 4)
"sum of seven times the same number and thirteen" means 7x + 13
<em><u>Thus the algebraic expression for given statement is:</u></em>
<em><u>Using distributive property in above expression</u></em>
Therefore,
<em><u>Combine the like terms</u></em>
Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)