Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as , 
And the variance is given by, 
Given : 
= 0.001
The formulae of mean and variance are :



a). Mean = 
=
= 1000
Variance = 
= 
= 999,000
The standard deviation is determined by the root of the variance.

=
= 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

= $ 0.50
Since the answer is negative, we are expected to make a loss.
Step-by-step explanation:
let width be "w"
given,length of rectangle is 3 units greater than its width
length= w+ 3
perimeter of rectangle= 2( l+ b)
= 2[( w+3)+ w]
= 2(w to the power of 2 + 3w)
= 2w to the power of 2 + 6w
is the answer
Given:

To find:
The values of f(2) and f(5).
Solution:
If an ordered pair
is in the function
, then
.
In the given set of ordered pairs one ordered pair is (2,3). So, by using the above definition, we get

In the given set of ordered pairs one ordered pair is (5,6). So, by using the above definition, we get

Therefore, the value of f(2) is 3 and the value of f(5) is 6.
8(10-K) = 2k
mutiply the bracket by 8
(8)(10)= 80
(8)(-k)= -8k
80-8k= 2k
move -8k to the other side
sign changes from -8k to +8k
80-8k+8k= 2k+8k
80= 2k+8k
80= 10k
divide by 10 for both sides
80/10= 10k/10
k= 8
Answer: k= 8