Step-by-step explanation:
f'(x) = 6x-12
in vertex : f'(x) = 0
6x-12 =0 => x=2
f(2) = 3 ( 2² ) -12 (2 ) +1 = -11
vertex ( 2 , -11 )
A on paper and A on presentation 0.25
A on paper only 0.10
A on presentation only 0.30
Do not get an A on either 0.35
Answer the following questions: (1 point each, except the last item, 2 points)
a. What is the probability of getting an A on the paper?
b. What is the probability of getting an A on the presentation?
c. What is the probability of getting an A in the course?
d. Are the grades on the assignments independent? Explain your answer
Answer:
Step-by-step explanation:
Hello!
Given the events:
A: "obtain an A in the paper assigment" ⇒ P(A)= 0.10
B: "obtain A in the presentation assigment" ⇒ P(B)= 0.30
Ac: "do not get an A in the paper assigment" ⇒ P(Ac)= 1 - 0.10= 0.9
Bc: "do not get an A in the presentation assigment" ⇒ P(Bc)= 1 - 0.30= 0.7
P(A∩B)= 0.25
P(Ac∩Bc)= 0.35
a. P(A)= 0.10
b. P(B)= 0.30
c. To get an A in the course you have to get an A in the paper and an A in the presentation, symbolically: P(A∩B)= 0.25
d. If the events A and B are independent, then the ocurrence of one of them doesn't affect the probability of the other ocurring, if this is so then:
P(A)= P(A/B)
P(A) ≠ P(A/B) this means that "B" ocurring modifies the probability of ocurrence of A, i.e. both events are not independent.
I hope it helps!
Answer:
There is a 3.7% probability that they both will like it.
Step-by-step explanation:
We can solve this problem using the Bayes rule derivation from conditional probability.
Bayes rule:
What is the probability of B, given that A?
In this problem, we have that:
is the probability that Ralph likes the movie, given that Melissa likes. The problem states that this is 10%. So
is the probability that Melissa likes the movie. The problem states that .
If they randomly select a movie from a video store, what is the probability that they both will like it?
This is .
There is a 3.7% probability that they both will like it.
dollars, find a reasonable estimate for his total income during the
12 week summer.
A) $700
B) $800
C) $1200
D) $1700
If she plans to tip the 20%. Then the amount of tip will be $5.3.
The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50.
If she plans to tip the 20%. Then the amount of tip is given as,
Amount of tip = 20% of $26.50
Amount of tip = 0.20 x 26.50
Amount of tip = $5.3
If she plans to tip the 20%. Then the amount of tip will be $5.3.
More about the percentage link is given below.
#SPJ6
Answer:
$5.30
Step-by-step explanation:
Answer:
Step-by-step explanation: