Answer:
30%
Step-by-step explanation:
Relative frequency : total number of diamonds / total number of cards drawn = 11/40=0.3
The answer is 30%
Answer:
The sample size required is at least 171
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
What sample size is required?
A samle size of at least n is required, in which n is found when 
So
Rouding up
The sample size required is at least 171
Answer:
x = 15
Step-by-step explanation:
The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.
Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.
Answer:
Step-by-step explanation:
From the problem statement, we can set up the following two equations:
where 
is the number of Knicks players, and 
is the number of Nets players.
We can substitute the first equation into the second and solve for
