Answer:
Step-by-step explanation:
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It would be 3/10 because you have to create a common denominator. That would be 10. 3x2=6 and 5x2=10, so 3/5 would become 6/10, which is equivalent. If you kept the denominators the same and subtracted the numerators, you would get 3/10.
Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:

Standard deviation = 
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more

Refer the z table for p value

Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Answer:
(24, -15)
Step-by-step explanation:
-3x + 4y = 12
3x – 6y = 18
Add the two equations together to first solve for y
-2y=30
y=-15
Enter -15 into one of the equations to solve for x
-3x + 4(-15) = 12
-3x-60=12
-3x=72
x=24
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Answer
so there are 7 singing acts and 5 comedy acts.
Step-by-step explanation:
Let x= number of singing acts.
Let y= number of comedy acts.
We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.
We solve x+y=12
Y=-x+12
We know y=-x+12, so we will substitute that for the y in the second equation.
1. Substitute 5x+3(-x+12)=50
2. Distribute 5x-3x+36=50
3. Solve 2x+36=50
2x=14
X=7
Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.
5(7)+3y=50
35+3y=50
3y=15
Y=5