Answer:
16/81
Step-by-step explanation:

=> 
=> -16/-81
=> 16/81
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Surface area
Volume
Surface area
Volume
Surface area
Volume
(I’m pretty sure they’re all correct)
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
Use Pythagorean Theorem which states that in a right triangle:

, where a and b are the legs, and c is the hypotenuse.

Take the square root of both sides to solve for x.

The answer is 26.