Answer:
![x^2 + y^2 + 4x + 4y = -119/16](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20%2B%204x%20%2B%204y%20%20%3D%20-119%2F16)
Step-by-step explanation:
The axes x and y are calibrated in 0.25
If the circle is carefully considered, the radius r of the circle is:
r = -1.25 - (-2)
r = 0.75 units
The equation of a circle is given by:
![(x - a)^2 + (y - b)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20a%29%5E2%20%2B%20%28y%20-%20b%29%5E2%20%3D%20r%5E2)
The center of the circle (a, b) = (-2, -2)
Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:
![(x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\](https://tex.z-dn.net/?f=%28x%20-%20%28-2%29%29%5E2%20%2B%20%28y%20-%20%28-2%29%29%5E2%20%3D%20%283%2F4%29%5E2%5C%5C%5C%5C%28x%20%2B%202%29%5E2%20%2B%20%28y%20%2B%202%29%5E2%20%3D%20%283%2F4%29%5E2%5C%5C%5C%5Cx%5E2%20%2B%204x%20%2B%204%20%2B%20y%5E2%20%2B%204y%20%2B%204%20%3D%209%2F16%5C%5C%5C%5Cx%5E2%20%2B%20y%5E2%20%2B%204x%20%2B%204y%20%2B%208%20%3D%209%2F16%5C%5C%5C%5C16x%5E2%20%2B%2016y%5E2%20%2B%2064x%20%2B%2064y%20%2B%20128%20%3D%209%5C%5C%5C%5C16x%5E2%20%2B%2016y%5E2%20%2B%2064x%20%2B%2064y%20%20%3D%20-119%5C%5C%5C%5Cx%5E2%20%2B%20y%5E2%20%2B%204x%20%2B%204y%20%20%3D%20-119%2F16%5C%5C)
You can make 6 bouquets. Each bouquet will have 10 roses, 14 daisies, and 4 lilies.
The math:
FIND THE GREATEST COMMON FACTOR
60/6=10--->10 ROSES
84/6=14--->14 DAISIES
24/6=4--->4 LILIES
Hope this helped!
Answer:
50
Step-by-step explanation:
Use long division
Answer:
4/663
Step-by-step explanation:
(4/52)×(4/51)
= 4/663
= 0.00603
The probability of p(2 aces) is greater than the probability of p(3 diamonds).
Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.
A deck of cards always has 52 cards.
Out of those 52 cards, there are 4 different aces.
The deck of cards also contains 13 diamonds.
Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.
Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.
If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).
Learn more about probability of an event here: brainly.com/question/11234923
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