Answer: 0.003757(approx).
Step-by-step explanation:
Total number of combinations of selecting r things out of n things is given by:-

Total cards in a deck = 52
Total number of ways of choosing 8 cards out of 52 = 
Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit =
[since 1 suit has 13 cards]
The required probability = 

Hence, the required probability is 0.003757 (approx).
Answer:
y-10=5(x-15)
Step-by-step explanation:
Slope =5
15-10/16-15=5
Then plug in 10 as the y1 and 15 as y2.
Slope intercept form is y=mx+b
Y= y intercept
M = slope
B = x intercept
-2x-11y= 5 get the y by itself
-11y = 2x + 5 divide by -11
y = -2/11x + 5/11
slope is -2/11
<h3>
Answer: -19, -15, -9, -1, 9 (choice A)</h3>
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Explanation:
If we plug in x = -2, then we get,
y = x^2 + 7x - 9
y = (-2)^2 + 7(-2) - 9
y = 4 - 14 - 9
y = -10 - 9
y = -19
So x = -2 leads to y = -19. The answer is between A and D.
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If you repeat those steps for x = -1, then you should get y = -15
Then x = 0 leads to y = -9
x = 1 leads to y = -1
Finally, x = 2 leads to y = 9
The outputs we get are: -19, -15, -9, -1, 9 which is choice A
Choice D is fairly close, but we won't have a second copy of -15, and we don't have an output of -19.
Answer:
While it's true that quadratic functions have no domain restrictions, the range is restricted because x2 ≥ 0. The correct answer is: The domain is all real numbers and the range is all real numbers f(x) such that f(x) ≥ 7.
Step-by-step explanation: