Answer:
The mean is usual
Step-by-step explanation:
We have that the mean (m) is equal to 21, the standard deviation (sd) = 1.31 and the sample size (n) = 64
They ask us for P (x <20.5)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (20.5 - 21) / (1.31 / (64 ^ 1/2))
z = -3.05
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-3.05) = 0.0002
The mean is usual because P (x> 20.5) = 1 - P (x <20.5) = 1 - 0.0002 = 0.9998 is a fairly high probability.
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➷ The fraction equivalent for this would be :
23/625
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Marked down 20% means it is selling for 80% of the original price ( 100% - 20% = 80%)
Multiply the original price by 80%
270 x 0.80 = $216.00
Answer:
For the first question, 180 degrees equals to a half of the sphere. For the second question, you need 24 central meridians for a complete sphere, which are exactly the hours in a day.
Step-by-step explanation:
A sphere is basically a 3D circle. As a circle has 360 degrees, 180 degrees would be half of a circle. Imagine you are on a satellite over the north pole or the south pole and you have a way to cut the earth by the middle. You will get two halves of sphere.
About the second question, you may need to have in mind that a day is the time spent for the earth to rotate all 360 degrees over its own axis. British fellow, on XIX century, decided they were the center of the world. As previously, back in the days, some other people decided a day had 24 hours, they decided to draw this lines and divide the earth in 24 pieces, so they could knew which time was on every point their extense kingdom had. As I said, a circle has 360 degrees, (360 degrees)/(24 hours) equals to 15 degrees.
