Answer:
The total time the water balloon is in the air is 8 seconds. The balloon reaches the maximum height of 25 fee after 3 seconds. The water balloon has a height of 24 feet at 2 seconds and a half.
Step-by-step explanation:
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Answer:
9 pm on a Sunday, 55 .5 days before
Step-by-step explanation:
if there were 6 bacteria initially and from the growth rate we noticed that it doubled every 3 hours
because by 9 am Monday morning there were 5328 bacteria and then by 12 noon (3 hours later), there were 10, 656 bacteria
what we need to know is how long did it take 6 bacteria to become 5328
so
if 6 bacteria = 1 hour
12 bacteria = 3 hours
24 bacteria = 6 hours
then
5328 bacteria = x hours
taking the ratio

we need to now convert this into hours
so we divide by 24

so
9 am 55.5 days before should fall on a Sunday
Answer:
6 months
Step-by-step explanation:
12x = 87
12x ÷ 12 = x
87 - 15 = 72
72 ÷ 12 = 6
x = 6 months
CHECK:
12 x 6 = 72 + 15 = 87
87 = 87
9514 1404 393
Answer:
x^(1/6)
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
Here, we have a=X, b=1/2, c=1/3, so the quotient is ...
(X^(1/2))/(X^(1/3)) = X^(1/2 -1/3) = X^(1/6)
_____
Expressed as a radical, this is ...
![\displaystyle X^{\frac{1}{6}}=\sqrt[6]{X}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20X%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D%5Csqrt%5B6%5D%7BX%7D)