Answer:
m∠YKZ = 90°
Step-by-step explanation:
PRYZ is a rhombus.
Property of a rhombus:
The diagonals of a rhombus are always perpendicular.
This means lines PY and RZ are perpendicular.
By definition of perpendicular lines, they intersect at right angle. Right angle has the measure of 90°, hence
m∠YKZ = 90°
Your intuition is sound, but it has to be based on some prior expectation about the balls in the bag.
For example, if you thought before you drew the blue ball that the bag was equally likely to contain any number of blue balls from zero to 10, after pulling it out you think that the probability of k blue balls remaining in the bag is (k + 1) / 55 for k = 0 to 9. That means the expected number of blue balls is now 6. Before you drew the ball the expected number was 5, so even though there is one fewer blue ball in the bag, you expect there to be one more.
But suppose instead that before you drew the first ball you thought there was a 50/50 chance of zero blue balls and one blue ball. After the draw you know there are no blue balls left, so your expectation went down from 1/2 to zero
Let the person's arm length be = x
Condition is : sleeve lengths available from 20 inches to 40 inches and the length of the sleeves should be about 1.2 times a person's arm length.
So, the inequality equation becomes:
This gives x=
or 
or x=
=33.33 or 
Hence, the shop does not provide tuxedos to people with arm length less than 16.66 inches and greater than 33.33 inches.
In order to find out what percentage of 200 162 is, we just need to divide 162 by 200.
162 / 200 = 0.81
To transform the decimal to a percentage, we just need to multiply it by 100.
0.81 * 100 = 81
162 is 81% of 200.
Hope that helped =)
