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Andru [333]
2 years ago
12

Fionn observed that 91\%91%91, percent of the background checks he processes are for potential employees who have already interv

iewed. Let BBB be the number of background checks Fionn processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent. Find the probability that the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript background check that Fionn processes is the first for which the potential employee has not yet interviewed.
Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Answer:

0.05

Step-by-step explanation:

checked via khan academy

You might be interested in
An insurance company sells an auto insurance policy that covers losses incurred by a policyholder, subject to a deductible of 10
Marrrta [24]

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

8 0
2 years ago
AT&amp;T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $
denis-greek [22]

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let x be the number of additional line.

Cost of one additional line = $15

Cost of x additional line = \$15x

Total cost = Fixed cost + Addition cost

                = 125+15x

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

125+15x\leq 200

Therefore, the correct option is C.

8 0
2 years ago
7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to t
Amanda [17]

Answer:

A = $18,326.00

(assuming simple interest)

Step-by-step explanation:

Assuming simple interest, the following formula applies:

final amount = (principal amount) x [1  + (annual rate)(time elapsed) ]

or

A = P (1 + rt)

in our case,

P = $7,700

r = 5.75% = 0.0575

t = 24 years

hence,

A = 7700 [ 1 + (0.0575)(24)]

A = 7700 ( 1 + 1.38)

A = 7700 x 2.38

A = $18,326.00  

4 0
2 years ago
The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th
Anit [1.1K]

we are given

a=f(t)=2t^2

we can use average rate of change formula from t=a to t=b

A=\frac{f(b)-f(a)}{b-a}

Here, we are given from t=1 to t=4

so, we will get formula as

A=\frac{f(4)-f(1)}{4-1}

now, we can plug values

A=\frac{2(4)^2-2(1)^2}{4-1}

now, we can simplify it

A=10

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4  is 10 acres/ month.............Answer

6 0
2 years ago
Fiona divided 3x2 + 5x – 3 by 3x +2. The expression represents the remainder over the divisor. x + 1 + What is the value of a?
grigory [225]
                    x + 1
         __________
3x+2 I 3x² +5x -3
           3x² +2x
           ----------
                    3x -3
                    3x+2
                    --------
                          -5 is the remainder 
                 
8 0
2 years ago
Read 2 more answers
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