arianna needed to determine how many guests she would have at her birthday party. She is inviting all of the students in her cla
ss. There are 9 girls and 12 boys. She drew the following model. Do you agree or disagree? Explain.
1 answer:
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Answer:
See the explanation
Step-by-step explanation:
<h2>Analytic View:</h2>If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:
or probability of its failing is:
Rolling a number smaller than 3 in a dice.
A= 2 (1,2)
B = 4 (3,4,5,6)
Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.
<h3>Example:</h3>A batter has 50 safe hits at 200 bats, which makes his batting average which is the probability.
When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.
<h3>Example:</h3>A person beleives that probability that the batter will hit safely in the next bat is 0.75
Answer:
(A)The absolute maximum of f(x) is at x=5
Step-by-step explanation:
F(x)=−2x³+21x²−60x on [1,6]
Find the first derivative.
f'(x)=-6x²+42x-60
Set the first derivative equal to zero.
-6x²+42x-60=0
Solve to find the critical points.
x=2,5
Next, we use the endpoints and all critical points on the interval to test for any absolute extrema over the given interval.
x=1,2,5,6
This is done by evaluating the function at x=1,2,5,6.
F(1)=−2(1)³+21(1)²−60(1)=-41
F(2)=−2(2)³+21(2)²−60(2)=-52
F(5)=−2(5)³+21(5)²−60(5)=-25
F(6)=−2(6)³+21(6)²−60(6)=-36
The maximum will occur at the highest f(x) value and the minimum will occur at the lowest f(x) value.
Absolute Maximum: (5,-25)
Absolute Minimum: (2,-52)
The graph is attached.
The absolute minimum and maximum of f(x) are (2,-52) and (5,-25) respectively.
