A) The possible three-course selections are as shown below.
B) The likelihood of selecting the combinations is 0.1 since there are 10 combinations in total.
<h3>How to solve probability combinations?</h3>
A combination operator can be used when we need to find the number of ways to select "k" items from a set of "n" items. It is also called a 'choose' operator where it is read as 'n choose k' and is represented and calculated as given below
From the choices given, there are 5 courses which are given below:
EPR 605
EPR 643
EPR 648
EPR 674
EPR 681
We need to find the combinations of 3 of these given 5 courses, which are given below (omitting the course code, EPR):
605-643-648
605-643-674
605-643-681
605-648-674
605-648-681
605-674-681
643-648-674
643-648-681
643-674-681
648-674-681
10 of the given choices of combinations are possible since they do not include a repeated course number.
The likelihood of selecting the combination of EPR 681, EPR 648, and EPR 605 is 0.1 since there are 10 combinations in total.
Complete question is;
A student entering a doctoral program in educational psychology is required to select three courses from the list of courses provided as part of his or her program. List all possible three-course selections. Comment on the likelihood that EPR 681, EPR 648, and EPR 605 will be selected. Select all the possible three-course selections below.
A. 648, 674, 605
B. 681, 648, 605
C. 681, 674, 605
D. 681, 681, 648
E. 674, 643, 674
F. 674, 605, 643
G. 681, 648, 674
H. 681, 681
I. 681, 648, 643
J. 648, 605, 643
K. 648, 674, 643
L. 681, 605, 643
M. 643, 694, 643
N. 681, 674, 643
Read more about Probability Combinations at; brainly.com/question/3901018
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Answer:
Step-by-step explanation:
ΔEFG ≅ΔLMN
Therefore, MN = FG { corresponding part of congruence triangle}
x + 3 = 13
x = 13 - 3
x = 10 cm
Answer:
C. RTS
Step-by-step explanation:
When two triangles are congruent, they will have congruent vertices, like each vertex has a partner.
Take a look at the shape of the triangle.
If you look at the triangle on the right, you can see it is almost like a right triangle.
"R" is at the right angle. "S" is on the short side and "T" is on the long side.
In the triangle on the left, "M" is at the right angle. "N" is on the short side and "O" is on the long side.
Thus, the pairs of congruent angles are:
M ≅ R
O ≅ T
N ≅ S
When you write the statement of congruence between triangles, order the letters by their congruent pair.
MON ≅ RTS
Answer:
The total interest to pay back on the loan is $122.40
Step-by-step explanation:
Here. we want to get the amount of interest on the loan
We are going to use the compound interest formula here
A = P(1 + r/n)^nt
where A is the amount to be paid back
P is the amount borrowed called the principal which is $1,500
r is the interest rate which is 4% annually
This is same as 4/100 = 0.04
n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1
t is the number of years = 2
So we have;
A = 1500(1 + 0.04/1)^(2)(1)
A = 1500(1.04)^(2)
A =$ 1,622.40
So the amount of interest is the difference between the amount borrowed and the value to pay back
That will be;
$1,622.40 - $1,500
= $122.40
B^-2 / b^-3 = b^(-2-(-3) = b^1 = b
answer is d
