If the probability of obtaining success is 0.3 and the value of n is 9 then the probability at the value of x be 3 is 0.3811.
Given that the value of n is 9 and the value of p is 0.3.
We are required to find the probability when the value of x is equal to 3.
Probability is the calculation of chance of happening an event among all the events possible.It lies between 0 and 1.
Probability=Number of items/total items.
Binomial probability is basically the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes.
=
We have to find the value when n=9, p is 0.3 and r=3.
=
=9!/3!6!*0.027*0.16807
=84*0.00453789
=0.381182
Hence if the probability of obtaining success is 0.3 and the value of n is 9 then the probability at the value of x be 3 is 0.3811.
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48 Pints
Every 1 Quart equals 2 Pints
Hope this helps!
I believe it would be b= -264
(I’m not 100% sure though so you might wanna check)
Answer:
amount is 1000 × 
$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Step-by-step explanation:
principal = $1000
rate = 8 % = 0.08
to find out
the future value, S(t)
principal when Donna's account will be 1 million dollars when she retires in 40 year
at what rate Donna's account will have a balance of 1 million dollars in 40 years
solution
we know compounded continuously formula i.e.
amount = principal × 
..................1
put the value principal and rate in equation 1 to find amount any time
amount = principal ×
amount = 1000 ×
in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal
rt = 0.08 × 40 = 3.2
amount = principal ×
1000000 = principal × 
principal = 1000000 /
principal = 1000000 / 24.5325302
principal = 40762.20397
so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate
amount = principal ×
1000000 = 2500 × 
take ln both side
ln = ln (1000000 / 2500 )
40 r = ln 400
r = ln (400) / 40
r = 0.149787
so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
