For a number to be a solution to an equation, it has to satisfy the equation...it has to make the equation true.
for example :
2n + 6 = 10.....n is our unknown number
2n = 10 - 6
2n = 4
n = 4/2
n = 2...so the number that makes the equation true is 2
and to check if the number is a solution, we then sub that number back into the original equation to see if it makes the equation true.
2n + 6 = 10
2(2) + 6 = 10
4 + 6 = 10
10 = 10 (correct)
so our number (n) represents the number 2, and it does make the equation true
Answer:
The annual interest rate would have to be of 0.1%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Jerod hopes to earn $1200 in interest in 4.9 years time from $24,000 that he has available to invest.
This means that:
Compounded monthly:
This means that
What would the annual rate of interest have to be?
We have to solve for r, so:
The annual interest rate would have to be of 0.1%.
this one is hard
i would go with b
BUT IM NOT SURE IF ITS 100% correct
so if you want to trust me, trust me.
but, i don’t trust myself on this one lol :)
tell me if you got it right.
Answer:
The simplified expression is:
Step-by-step explanation:
To simplify the expression given we, need to open the brackets, and if there is power term. then we need to find the individual power of each variable.
Now the expression that is given to us is:
Here we will simplify it, as follows:
as we know that when n is even we have:
Now, the expression is simplified as:
So this is the required simplified form.
Answer:
0.36427
Step-by-step explanation:
Mean = λ = 18 messages per hour
P(X = x) = (e^-λ)(λ⁻ˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)
But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)
P(15 < X < 20) = P(X < 20) - P(X ≤ 15)
These probabilities will be evaluated using a cumulative frequency calculator.
P(X < 20) = 0.65092
P(X ≤ 15) = poissoncdf(18, 15) = 0.28665
P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.
You can use the Poisson distribution calculator here
https://stattrek.com/online-calculator/poisson.aspx