A manufacturing process is designed to produce bolts with a 0.25-in. diameter. Once each day, a random sample of 36 bolts is sel
1 answer:
Answer:
0.6170
Step-by-step explanation:
Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.
i.e. no of bolts which are produced as per standard is X means then
X is normal with mean = 0.250 and std dev = 0.04
No of bolts tested = 36
If this mean falls outside the interval (0.230,0.270) the production would be shut down.
i.e. P(|x-25|>0.20) =production shut down probability
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Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
