As 300 tickets are sold , the probability of being a winner is =
The prize value is $64 or
= 0.213
The cost of ticket you paid = $4
Hence, the expected value of one ticket = 0.213-4 = -3.787 or rounding off we get -3.79
There is a population of 30 bacteria in a colony. If the number of bacteria doubles every 500 hours, what will the population be
1 answer:
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You're trying to find constants 
such that 
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of 
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.
To solve
Computing this, you'd find that
which means the first choice is correct.
Answer:
m=-6/7
Step-by-step explanation:
the formula of a slope is m=
where
m=(2-5)/(3/2+2)
m=-6/7
The value of x is -9 and 3.Option D.
Step-by-step explanation:
Given,
To find the value of x.
We will apply middle term factor formula.
The given equation can be written as,
or, +(9-3)x-27 = 0
or, x²+9x-3x-27= 0
or, x(x+9)-3(x+9)=0
or, (x+9)(x-3) = 0
So, x = -9 and x = 3
Hence,
The correct option is Option D.