I hope it helps you get it right
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than <span>$128,400, there will be no deduction. </span>
Answer:
<em>Center: (3,3)</em>
<em>Radius: </em><em />
Step-by-step explanation:
<u>Midpoint and Distance Between two Points</u>
Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:
The distance between both points is given by:
Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:
Center of circle C: (3,3)
The radius of C is half the distance between A and B:
The radius of C is d/2:
Center: (3,3)
Radius: