The cone's volume is 2 times the volume of the cylinder. A cone's volume is normally 1/3 the volume of a cylinder, but because its height is 6 times larger than that of the cylinder, it is 6/3, or 2, times the volume of the cylinder.
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Answer:
There is insufficient evidence to support the claim.
Step-by-step explanation:
What we need to do is calculate the z factor and see whether or not we can refute the manufacturer's claim.
We have to:
z = (p - pm) / [pm * (1-pm) / n] ^ (1/2)
where p is the probability of the random sample, 13% or 0.13 and pm the probability per microwave maker, that is, 10% or 0.1. n sample size which is 57.
When replacing, we are left with:
z = (0.13 - 0.1) / [0.1 * (1-0.1) / 57] ^ (1/2)
z = 0.75
This value corresponds in the normal distribution to 0.7734 (attached image), this value is very large to refute the above, it must give a value less than 0.05 to be able to be refutable.
Therefore there is insufficient evidence to support the claim.
Answer:
-387
Step-by-step explanation:
First term (T1) = -21 = a
second term (t2) = - 27
common difference (d) = t2 - t1 = - 27 + 21 = - 6
Now
Tn = a + ( n - 1) d
T62 = - 21 + ( 62 - 1 ) - 6
= - 21 -366
= -387