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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1/2(5x + 12) = 2x - 3
5/2 x + 6 = 2x - 3
5/2 x - 2x = -3 - 6 = -9
5x = 2 x -9 = -18
x = -18/5
Answer:
Step-by-step explanation:
The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as
y = ab^x
y = b(1 + r)^ t
Where
y represents the value of the coin after x months.
x represents the number of months.
a represents the initial value of the coin.
b represents rate of growth.
From the information given,
a = 243
b = 1 + 15/100 = 1 + 0.15 = 1.15
Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as
y = 243(1.15)^x
If y = 1000, it means that
1000 = 243(1.15)^x
1000/243 = 1.15^x
4.115 = 1.15^x
Taking log of both sides, it becomes
log 4.115 = xlog1.15
0.614 = 0.061x
x = 0.614/0.061
x = 10 months
It will take 10 months
Step-by-step explanation:
The given number is 7,594,000,000.
To convert it into scientific notation,
First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was > 1.
In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.
Hence, is the scientific notation.