By using the second condition, we conclude that there are 23 white roses in the tray.
<h3>
How many white roses are in the tray?</h3>
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
- <em>"There is at least 1 red rose among any 24 randomly selected roses"</em>
- <em>"There is at least 1 white rose among any 28 randomly selected roses".</em>
The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
If you want to learn more about counting.
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Answer:
(6c-7d)^2
Step-by-step explanation:
Factor using the perfect square rule
Answer:
One
Step-by-step explanation:
An equilateral triangle has equal side lengths.
With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.
The sides of the equilateral triangle can't be mixed up, they must stay the same.
Hope this helps.
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))