Answer:
Brian had $30 initially.Brian had $30 initially.
Step-by-step explanation:
WE are given the following in the question:
Let Brian have x dollars and Colin have y dollars.
Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:
"Brian spent £27 that day. Brian now had £3 less than Colin."
Thus, we can write the equation:
Solving the two equation by substitution, we get,
Thus, Brian had $30 initially.
12, Carmen buys 12 roses
I got this by multiplying 4x3=12
Answer:
0.00658 = 6.58 * 10^-3
Step-by-step explanation:
The standard form is a way of writing numbers easily in powers of 10.
To write a number in standard form, we have to move the decimal point to the front of the first non zero number.
Depending on the position of the decimal point to the first non zero number, movement can be towards the right or towards the left. When we move towards the right, our power of 10 will be negative, when we move in the left direction, our power of 10 will be positive
In this question, we shall be moving towards the right. Thus, our power of 10 is negative. We shall be moving towards the right 3 three times
Thus our power would be 10^-3
Thus our standard form will be 6.58 * 10^-3
Kindly note that another pointer is, if the value of our number to be written in standard form is less than zero, then the standard form will come in negative powers of 10. If the value of the number is greater or equal to 1 at least, then then the standard form will be in positive powers of 10
To find 20% of 950 you would set it up as a proportion. When doing percentages the prevent is always out of 100 so the first step would be 20/100. You are trying to find a number out of 950 so the second part would be ?/950. Now you want to cross multiply and divide. 20*950=19,000 then you divide it by 100 (your other number) 19,000/100=190. So 20% of 950 is 190.
Answer:
Option E - 1000
Step-by-step explanation:
Let X stand for actual losses incurred.
Given that X follows an exponential distribution with mean 300,
To find the 95-th percentile of all claims that exceed 100.
In other words,
0.95 = Pr (100 < x < p95 ) / P(X > 100)
= Fx( P95) − Fx(100 ) / 1− Fx (100)
, where Fx is the cumulative distribution function of X
since, Fx(x) = 1 - e^ (-x/300)
0.95 = 1 - e^ (-P95/300) - [ 1 - e^ ( -100/300) ] / 1 - [ 1 - e^ ( -100/300) ]
= e^ ( -1/3 ) - e^ ( - P95//300) / e^(-1/3)
= 1 - e^1/3 e^ (-P95/300)
The solution is given by , e^ ( - P95/300) = 0.05e^(-1/3)
P95 = -300 ln ( 0.05e^(-1/3) )
= 999
= 1000
