Answer: C) twelve over fifty one
Step-by-step explanation:
Formula for probability =
We know that , a standard deck has 52 cards.
Number of hearts = 13
If a heart was drawn on the first draw and not replaced, then the number of hearts left = 13-1=12 (favorable outcomes)
The total number of cards left = 52-1=51 (total outcomes)
Therefore, the probability of drawing a heart from a standard deck of cards on a second draw, given that a heart was drawn on the first draw and not replaced would be :-
Hence, the correct answer is option C) twelve over fifty one
Answer:
<em>120 degrees</em>
Step-by-step explanation:
Find the diagram attached.
From the diagram;
Interior angles are m∠BCA and m∠ABC
Exterior angle is m∠DAB
The sum of interior angle of the triangle is equal to exterior
m∠BCA +m∠ABC =m∠DAB
Given
m∠ABC = 70
m∠BCA =50
m∠DAB = 70 + 50
m∠DAB = 120 degrees
<em>Hence the measure of m∠DAB is 120 degrees</em>
(a) No preference is given to any one student?
<span>A simple combination of four selections out of 14: </span>
<span>
14! / (10! 4!) = 14*13*12*11 / (4*3*2*1) </span>
<span>
= 7*13*11 = 1,001 </span>
<span>(b) One particular student must be awarded an assistantship? </span>
<span>That leaves 3 selections out of 13 for the other positions: </span>
<span>
13! / (10! 3!) = 13*12*11 / (3*2*1) </span>
<span>
= 13*2*11 = 286 </span>
<span>(c) The group of applicants includes eight men and six women and it is stipulated that at least one woman must be awarded an assistantship? </span>
<span>We have the original 1,001 possibilities from part (a), minus all of those that awarded all the positions to men: </span>
<span>
1,001 - 8! / (4! 4!) = 1,001 - 8*7*6*5 / (4*3*2*1) </span>
<span>
= 1,001 - 70 = 931
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The square with the side length 26 is the Square C. The square with the side length 11 is the Square B. The square with the side length 4.2 is the Square
A. As, 4.2 <11 <26