Pleas answer part A!!!!!!
1 answer:
You might be interested in
Answer: Absolute minimum: f(-1) = -2
Absolute maximum: f() = 12.5
Step-by-step explanation: To determine minimum and maximum values in a function, take the first derivative of it and then calculate the points this new function equals 0:
f(t) =
f'(t) =
f'(t) =
f'(t) = = 0
For this function to be zero, only denominator must be zero:
t = ±
≠ 0
t = ± 5
Now, evaluate critical points in the given interval.
t = and t = - 5 don't exist in the given interval, so their f(x) don't count.
f(t) =
f(-1) =
f(-1) =
f(-1) =
f() =
f() = 12.5
f(5) =
f(5) = 0
Therefore, absolute maximum is f() = 12.5 and absolute minimum is
f(-1) = .
Probability would been equal to 0.9841 if we randomly select 20 bottles it fills.
<h3>What is Probability ?</h3>The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of the positive results for the experiment with 'n' outcomes can also be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Given,
n = 20
p = 0.05
Thia information gives information about binomial distribution with parameter n = 20 , p = 0.05
Let X be the number of bottles have caps that she not properly applied
X∝ B( n=20 , p= 0.05)
The p.m.f of X is
P( X=0)= () ( 0.05)ˣ (1 - 0.05)²⁰ ⁻ˣ
; x = 0 , 1, 2.......20
0 < p < 1
q= 1 - p
= 0 ; otherwise
P {x ≤ 3} = P { X = 0 } + P{ x= 1 } + P { x= 2 } + P { x= 3}
P( X=0)= () ( 0.05)⁰ (1 - 0.05)²⁰ ⁻⁰ = 0.3585
P( X = 1)= 0.3774
P( X= 2) = 0.1887
P( X= 3) = 0.0596
= 0.3585+ 0.3774 + 0.1887+ 0.0596
= 0.9841
To know more about Probability, Visit:
#SPJ4