The Expected value of a draw from the given question is; A; 0.77
We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.
Since you earn 10 points for each face card, it means that;
total possible gain = 10 × 3 × 4 = 120
In a deck of cards, there are a total of 52 cards.
This means that;
Number of cards that are not K, Q or J = 52 - (4 × 3) = 40
Since 2 points are lost for drawing any of this 40 cards, then;
Total possible loss = 40 × 2 = 80
Expected gain = 120 - 80
Expected gain = 40
Expected value of a draw = 40/52
Expected value of a draw = 0.77
Read more about expected value at; brainly.com/question/1450915
Answer:
3
Step-by-step explanation:
Answer: 7(3m - 7n)
<u>Step-by-step explanation:</u>
Factor each term then see what value(s) they have in common:
21m - 49n
∧ ∧
3 · 7 · m 7 · 7 · n
Both terms have a 7 in common. What is left over after removing the 7?
21m: 7(3m)
49n: 7(7n)
GCF: 7 Leftovers: 3m <em>and</em> 7n
Factored form of expression is: 7(3m - 7n)
Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°
Answer:
12 1/12
Step-by-step explanation: so, we have to make the bottom number the same as eachother or we will not be able to add effectively. So the first number that both 4 and 6 go into is 12, as you can see if we count by the numbers to get to the answer
4,8,12
6,12
So, now that we have that part figured out we would then have to multiply the top the same amount as we multiplied the bottom. So 1/4x3 and 5/6x2
So we would multiply both the top and the bottom the same amount.
1/4x3=3/12
5/6x2=10/12
So now that we have that figured out everything else is pretty straight forward.
We would add the whole numbers with eachother and the fractions with eachother.
8+3=11
3/12+10/12=13/12
so we can see that it would equal, 11 and 13/12 or 12 and 1/12
