Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
For this case we have that the total minutes spent in yoga classes last week was 165.
Subtracting the 45 minutes of the Saturday day we have:
Those 120 minutes were distributed in the weekly yoga classes
where each lasted 30 minutes.
So, 4 week yoga classes were held
ANswer:
4 week yoga classes were held
Let l, t, b represent the numbers of lions, tigers, bears, respectively.
2l +3t +3b = 156 . . . . . . . 156 meals per day are supplied
l +t = 3b . . . . . . . . . . . . . . there are 3 times as many great cats as bears
l +t +b = 68 . . . . . . . . . . . there are a total of 68 animals
_____
The last 2 equations tell you
.. 4b = 68
.. b = 17
Subtracting 3 times the last equation from the first gives
.. -l = -48
There are 48 lions, 3 tigers, and 17 bears.
Answer:
y = -x
Step-by-step explanation:
slope = change in y/change in x
slope = -1
Find the y-intercept
x value difference between (0,0) and (1,-1) = 1
if change in x = 1 then change in y = -1 so y-intercept = -1 + 1 = 0
y = -x + 0
Answer:
Step-by-step explanation:
Open up the parentheses
-7x cancels out on both sides
-12 cancels out on both sides
I hope this helps!
