<h3>
Answer: Choice A) 9 combinations</h3>
Explanation:
Imagine you had a table with 3 rows and 3 columns. The rows represent the possible main dishes (Chicken, Fish, Beef) and the rows represent the side dishes (Rice, Potatoes, Vegetables).
The table has 3*3 = 9 cells inside it. Each inner cell represents a different combo the customer can order.
Answer: 
or 
.
Step-by-step explanation:
Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.
The total number of cards in a deck 52
Number of faces cards in a deck = 12
Number of cards not face cards = 40
The total number of combinations of drawing 9 cards out of 52 cards = 
Now , the combination of 9 cards such that exactly 6 of them are face cards = 
Now , the probability that the hand contains exactly 6 face cards will be :-
![=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Cdfrac%7B12%21%7D%7B6%216%21%7D%5Ctimes%5Cdfrac%7B40%21%7D%7B3%2137%21%7D%7D%7B%5Cdfrac%7B52%21%7D%7B9%21%5Ctimes43%21%7D%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B228%7D%7B91885%7D)
Hence, the probability that the hand contains exactly 6 face cards. is .
Answer:
x=-7/3 and y=-6
Step-by-step explanation:
6x-3(3x+1)=4
6x-9x-3=4
-3x-3=4
-3x=7
x=-7/3
y=3(-7/3)+1
y=-6
Answer:
Step-by-step explanation:
has to sweep 4/6
already swept 3/6
it needs to sweep 1/6 because
4 / 6-3 / 6 = 1/6
Since they are fractions with the same denominator, you place the same denominator and subtract the numerators.
Alternate interior angles are equal, thus the given alternate interior angle is 80 degrees.
Therefore, x = 80 - 15 = 65 degrees.
