Answer:
And the density function is given by:
And the cumulative distribution function is given by:
And we want the following probability:
And we can use the complement rule and we got:
Step-by-step explanation:
Let X the random variable that represent the driving distance and we know that the distribution for X is given by:
And the density function is given by:
And the cumulative distribution function is given by:
And we want the following probability:
And we can use the complement rule and we got:
And that would be the final answer for this case.
Answer:
9miles
Step-by-step explanation:
Answer:
161cm
Step-by-step explanation:
perimeter = 125+12+12+12= 161cm
Answer:
The term exponential is often used.
Step-by-step explanation:
The term exponential is used to represent changes in population over time. The idea of (positive) exponential is that the higher the number, the higher the growth. You can relate this with a population, because the higher the population, the more opportunities for it to multiply, thus, the higher it grows.
Usually the way to meassure the population of an species after certain number of years x, you use an exponential function of the form
For certain constants K₀ and a. K₀ is the initial population at the start of the experiment and <em>a </em>number of exponential growth. Essentially, the population of the species is multiplied by a during each year.
For example, if K₀ = 1000 and a = 2, then the population at the start of the experiment is 1000. After the first year is 1000*2 = 2000 and after the second year it is 2000*2 = 4000. Note that, not only the population grow during the years, but also the amount that the population increases also grow: in the first year it grows 1000, and between the first and second year it grows 2000.
Answer:
The remaining amount is $360.34
Step-by-step explanation:
we will be using the present value annuity in this problem to solve for the present value of the ninth year of all remaining payments that means for the remaining 4 years including the ninth year, The present value formula :
the present value annuity calculates the present value of future payments that will be made through a period in a given time or given number of periods, so here we are given the following information:
$100 is a periodic payment so it will be represented by C.
1% is the interest rate (i) for the 12 years .
n is the period or the number of payments made so in this case we will use n=12 payments to calculate how much in present value is the amount by the end of the 12th payment year then we will subtract the present value for n=8 to calculate the present value at the end of the 8th year then the difference will be the present value at the beginning of the ninth year.
we will substitute the values on the above mentioned formula :
Present value = 100[(1-(1+1%)^-12)/1%] - 100[(1-(1+1%)^-8)/1%] compute
present value = $360.34 this will be the present value at the beginning of the 9nth year.