Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
a. The standard error is equal to the standard deviation divided by the square root of the sample size:
SE = (23 ppm)/√18 ≈ 5.42 ppm
b. The t statistic is given by the difference between the true and sample means, divided by the standard error:
t = (192 ppm - 180 ppm)/SE ≈ 2.21
c. The p-value is approximately 0.0204.
d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.
e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.
An equal mass of silver will displace a different volume of fluid than that displaced by gold.
<h2>Archimedes principle</h2>
According to the Archimedes principle, when an object is partially or completely immersed in water, the object will experience a force that displaces its own weight of fluid.
Therefore, when the jeweler deceptively replaced “an equal weight” (or equal mass) of gold with silver, we can know that by observing the volume of water displaced in each case. An equal mass of silver will displace a different volume of fluid than that displaced by gold.
Learn more about Archimedes principle: brainly.com/question/13106989
sin 51 = BC / 58
BC = 58 sin 51
= 45.07 to nearest hundredth.
Its D
A= +11 It’s the second one
