Answer:
We conclude that expected value of this game is -0.865$.
Step-by-step explanation:
We know that in a lottery game, a player picks six numbers from 1 to 27.
We know that

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.
He can win 40,000 dollars.
We calculate:

We conclude that expected value of this game is -0.865$.
The mean of the data is 11
now we find the difference between the mean and each number
1, 2, 3, 0.5, 0.25, 1.25, 1.
now we square the numbers
1, 4, 9, 0.25, 0.0625, 1.
now we find the mean of the new numbers
which is 2.1875
2.1875 is your standard deviation.
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
They have collected
cans until now. To equal 325, they need
cans more.
A.
Let C be the number needed to equate atleast 325.

B.
If we solve the inequality in part A, we can find minimum number of C to meet the goal of 325 cans.

<em>So they need minimum 101 to complete the target and more than that to surpass.</em>
ANSWER: 101 cans are needed to meet the goal and more than that to surpass the goal.
We can't answer it I don't think there is enough info