Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=
= 0.08154
(x - 9)(x + 9) would give you x^2 - 81 when you get a plus and minus like that after you factor the middle term is canceled out so the answer would be (x - 9)^2
If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)
and let its height be 1 then (using the Pythagoras theorem) the coordinates of the 4 points will be as follows:-
O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)
Slope of the diagonal OB = 1 / (sqrt2 + 1)
Slope of the other diagonal AC = - 1 / (sqrt2 - 1)
Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1
This proves that the diagonals are perpendicular.
Step-by-step explanation:
1. divide .5 from 100 and you will end up with 200.
2. multiply 200 by 8 giving you the answer 1600
to make sure the answer is correct you multiply the .5 percent by 1600 leaving you with 8
If you would like to calculate 522% of 85, you can do this using the following steps:
522% of 85 = 522% * 85 = 522/100 * 85 = 443.7
The correct result would be 443.7.
