Answer:
x = 162 cards need to be dealt with
Step-by-step explanation:
Given:
- Estimation of likelyhood of next card to be queen, a king, or an ace:
( 64 - 0.2*x ) / ( 208 - x )
Find:
For what values of x is this likelihood greater than 70%?
Solution:
- Use the likely-hood estimation relation and set up the inequality as follows:
( 64 - 0.2*x ) / ( 208 - x ) > 0.7
( 64 - 0.2*x ) > 0.7*( 208 - x )
64 - 0.2*x > 145.6 - 0.7*x
0.5*x > 81.6
x > 163.2
- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%
Hello from MrBillDoesMath
Answer:
[email protected] = - sqrt(7)/ 4
which is choice B
Discussion:
This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:
([email protected])^2 + (sin2)^2 = 1
If [email protected] = 3/4
, the
([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)
([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16
So...... taking the square root of both sides gives
[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4
But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative
[email protected] = - sqrt(7)/ 4
which is choice B
Thank you,
Mr. B
Nothing changes if you don't add anything.
Example:
10+10=20
20+0=20
nothing changes.
Answer:
x=5, y=-4
Step-by-step explanation:
:)
x - 1 x + 1
------ = --------------
x + 3 x + 6
if x = 9
8/ 12 = 10/15
12 (10) = 8(15)
120 = 120
so
answer is 9 (last choice)
