A) 52 square cm I believe is the surface area of the cereal box
5/9(f-32)
5/9(65-32)= 19.44
Answer:
The probability that the coins are thrown more than three times to show the same face is 0.3164.
Step-by-step explanation:
The problem is related to Geometric distribution.
The Geometric distribution defines the probability distribution of <em>X</em> failures before the first success.
The probability distribution function is:

First compute the probability that in the
throw all the three coins will show the same face.
P (All the 3 coins shows the same face) = P (All the three coins shows Heads) + P (All the three coins shows Tails)

Now compute the probability that it takes more than 3 throws for the coins to show the same face.
P (<em>X</em> > 3) = 1 - P (<em>X</em> ≤ 3)
![=1-[P(X=1)+P(X=2)+P(X=3)]\\=1-[[(1-\frac{1}{4} )^{0}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{1}\times\frac{1}{4}]+ [(1-\frac{1}{4} )^{2}\times\frac{1}{4}]+[(1-\frac{1}{4} )^{3}\times\frac{1}{4}]]\\=1-[0.2500+0.1875+0.1406+0.1055]\\=1-0.6836\\=0.3164](https://tex.z-dn.net/?f=%3D1-%5BP%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%5D%5C%5C%3D1-%5B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B0%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B1%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%20%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B2%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%2B%5B%281-%5Cfrac%7B1%7D%7B4%7D%20%29%5E%7B3%7D%5Ctimes%5Cfrac%7B1%7D%7B4%7D%5D%5D%5C%5C%3D1-%5B0.2500%2B0.1875%2B0.1406%2B0.1055%5D%5C%5C%3D1-0.6836%5C%5C%3D0.3164)
Thus, the probability that it takes more than 3 throws for the coins to show the same face is 0.3164.
Answer: So, your relative takes N tablets each 6 hours. a day has 24 hours, and 24/6 = 4, so he takes N tablets 4 times per day, so he takes 4*N tablets.
each tablet has 200mg, and 2.3 g (or 2300 mg) is toxic.
this means that 4*N*200mg must be less than 2300, if we are seeking for the maximum N possible, then:
4*N*200mg = 2300mg
4*N = 2300/200 = 11.5
N = 11.5/4 = 2.87
if you round up this number, you will end up taking more than 2.3g of tylenol per day, this implies that N must be equal to 2.
So your relative needs to take maximum 2 tablets per day.
Answer:
7.7
Step-by-step explanation:
we basically follow the BEDMAS rule
1st we workout the bracket (7-2)=5
2nd the exponent 3^2=9
3rd the multiplication (7-2) . 4 = 5 . 4 = 20
4th addition 9+20=29
5th step is subtraction 29-6=23
the final step is dividing 23 by 3, which will become 7.7