Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Answer: There are 60 ways that they can travel to the concert.
Step-by-step explanation:
Since we have given that
Number of people want to go to a concert = 12
Number of cars = 3
Number of drivers in the group = 5
So, using the "Fundamental theorem of counting":
We get that
Hence, there are 60 ways that they can travel to the concert.
To express a function of the form
in vertex form
where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:
, and
will be the function evaluated at
.
We can infer from our function that
and
. So lets find
:
Now that we have
, we can evaluate the function at 1 to find
:
We have the vertex (1,3) of our parabola, so we can use its vertex form:
We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>
Answer:
B, Work with the math instructors to create a list of students currently taking a math class. Randomly select
Step-by-step explanation:
Let's think of each scenario at a time.
(A) We select 100 students enrolled in college randomly that should be fine because we are taking only students that can take classes. this rules out faculty members and any other persons but also there may be students that will never take any math course as part of their study plan, this is ruled out on that basis.
(B)if we take 100 students from the list of math instructor, that will ensure that we have taken students that are taking math class now, and math is part of their study plan, seems fine.
(C) visiting cafeteria randomly on multiple days will give us random persons that may not even be enrolled in university. this can be ruled out on that basis.
(D)Ten class at random and surveying each student in every class will make sampling size large or small depending on students enrolled in each of the class this will not give us reliable results.
We can conclude that (B) is the beast method for obtaining reliable results.
Answer:
Joanne could have rounded her answer to a specific decimal place, rather than using the exact answer. If you use a rounded answer to verify your solution, you may get a statement that is not exactly equal. The numbers, 12.34 and 12.33 are very close to each other, so Joanne can assume she solved the multistep equation correctly.
Step-by-step explanation:
Facts
