25 since the factors of 650 are: <span>1,2,5,10,13,25,26,50,65,130,325,650</span>
Answer:
the expected value of throws is E(Y) = 15 shots
Step-by-step explanation:
We will divide the experiment in 2
first) throw seven fair coins , and you get at least twice as many heads as tails when the number of heads is 6 or 7
being the random variable X=getting x heads , then P(X) has a binomial distribution, with p=0.5 and n=7. then
p₂=P(X≥6) =P(X=6)+ P(X=7)= 0.0546 +0.0078 =0.0624
second) if you get at least twice as many heads as tails when the number of heads , you throw again. then the random variable Y= number of shots in the experiment , then Y follows a negative binomial distribution , with probability of success pn=1-p₂ , and number of failures until the experiment is stopped r=1
then the expected value of throws E(Y) is
E(Y) = pn*r/(1-pn) = (1-p₂)*1/p₂ = 1/p₂ -1 = 1/0.0624 - 1 = 15
E(Y) = 15 shots
Answer:
He has 60 paper clips before giving some away.
Step-by-step explanation:
Before : 5x : 3x
After: 5x - 12 = 3x + 12
5x - 12 = 3x + 12
First, we need to take away the smallest value of x from the largest.
-3x
2x - 12 = 12
Then, we need to add +12 to get rid of -12 on the lefthand side.
2x = 24
Divide by 2 to get x on its own.
x = 12
Bert had 5x so we need to multiply x (what we found as 12) by 5. 12 x 5 = 60. Bert had 60 paper clips before he gave some away.
We can prove this answer as correct, too.
5 x 12 = 60
3 x 12 = 36
60 - 12 = 36 + 12
48 = 48
Hope this helps, have a good day. :D
Answer:
At the time measurement starts i.e. initially there was no rainfall i.e. y value is zero.
Step-by-step explanation:
y, in terms of time the rain fell, x.
Now, x is measured in hours after 12 : 00 P.M., with x = 0 corresponding to the time 12 : 00 P.M.
Therefore, the ordered pair (x,y) ≡ (0,0) means that at the time measurement starts i.e. at 12 : 00 P. M. there was no rainfall i.e. y value is zero. (Answer)
