Explanation:
There may be a couple of reasons for this:
1. Each team represents a sample of the players in the league. The averages of (random) samples can be expected to have a standard deviation that is smaller than the population standard deviation by a factor related to sample size.
2. A team average will result from the players who are played the most. Each team can be expected to field players more often whose averages are among the highest. The standard deviation of a set of the top tier of players will necessarily be smaller than the standard deviation of the set of all players.
Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is 
when 
. So
0.762 = 76.2% probability that this shipment is accepted
15=7x+1-5x
Put like terms together. ( group anything alike)
15+1=16
7x-5x=2x
16 2x
—- ——-
2x 2x
2x/2x cancels itself out.
16 divided by 2 is 8
x=8
I hope this helped!
Answer:
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Step-by-step explanation:
Answer:
y = 5.595090517 or approximately 5.6
Step-by-step explanation:
Tan47 = 6/y
y x Tan47/Tan47 = 6/Tan47
y = 5.595090517 or approximately 5.6
