Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s
1 answer:
Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean :
Standard deviation:
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x:
At x= 0.75,
Using standard normal table for z-value,
P-value :
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
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Answer:
The number of tickets they have sold in advance are summed up with the following equation and solution:
Equation: [the final answer should be in dollars]
Solution: The Opera sold 391 tickets in advance.
Step-by-step explanation:
First: Review some background information:
Let's see what the problem gives us to answer it. I'll bold out the important parts:
The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?
We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.
Second: Solve the problem:
We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you <em>do</em> know how to do proportions).
First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: . We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be:
. Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:
1 x 17.50 = 17.50
6842.50 ÷ 17.50 = 391
So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets
Topic: Proportions
9514 1404 393
Answer:
0.28 -0.95i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
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<em>Additional comment</em>
If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.