4•1=4, 4•2=8, 4•3=12, so the third multiple of four is 12. 5•1=5, 5•2=10, 5•3=15, so that means the third multiple of five is 15. Add 12 & 15 together and the answer to your problem is 27.
Answer:
0.01923 or 1.92 %
Step-by-step explanation:
The probability of drawing a queen card out of deck is 4/52
∴ P(Q)= 4/52
there are 4 queens in a deck, one of each suit.
The probability of drawing a diamond card out of deck is 13/52
∴P(D)= 13/52
there are 13 cards in diamond suit (including the three face cards).
The total will remain 52 as he has replaced the first card and have not moved it aside
therefore, the net probability for both scenarios will be defined by calculating both probabilities.
P= P(Q) x P(D)
P= 4/52 x 13/52
P=1/52
P=0.01923 (converting into percentage)
P=0.01923 x 100%
P=1.92 %
Answer: the probability that James draws a queen card as the first card and a diamond card as the second card is 1.92%
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
Answer:
$53.3
Step-by-step explanation:
40 + 10.5 + (7% of 40)
50.5 + (7/100 × 40)
50.5 + 2.8
53.3
Answer:
So first u add
-10 + 30
Now you substract
20
Therefore the answer is 20