How do you find the total surface area of a 3-D composite figure? Do you subtract one base from one of the figures or both of it
s bases?
1 answer:
What does the shape look like?
Ok, so say you are calculating the surface area of the shape in the image below.
You would calculate the area of both shapes (the vertical box and the horizontal one), then subtract the area of the left face of the left rectangle (it is 10x20). That way, you are subtracting the area from the tall box. Make sure when you calculate the area of the short box that you don't include the left face (which is non-existent because it is attached to the tall box). If this is still really confusing (don't blame you if it is!!), let me know and I will walk through and example with you. Hope this helps!!
Ok, so say you are calculating the surface area of the shape in the image below.
You would calculate the area of both shapes (the vertical box and the horizontal one), then subtract the area of the left face of the left rectangle (it is 10x20). That way, you are subtracting the area from the tall box. Make sure when you calculate the area of the short box that you don't include the left face (which is non-existent because it is attached to the tall box). If this is still really confusing (don't blame you if it is!!), let me know and I will walk through and example with you. Hope this helps!!
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Answer:
The probability that the assembly line will be shut down is 0.00617.
Step-by-step explanation:
We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.
Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.
Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 12 bottles
x = number of success = 2 or more bottles
p = probabilitiy of success which in our question is probability that
bottles are not within specification, i.e. p = 0.01
So, X ~ Binom (n = 12, p = 0.01)
Now, the probability that the assembly line will be shut down is given by = P(X 2)
P(X 2) = 1 - P(X = 0) - P(X = 1)
=
=
= <u>0.00617</u>
Answer:
Option C, 488 square centimeters
Step-by-step explanation:
<u>Step 1: Determine the area of the rectangle</u>
<u>Step 2: Determine the area of the triangle</u>
<u>Step 3: Determine the total area</u>
Answer: Option C, 488 square centimeters