If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.
Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S
Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.
Figure 1:
3 x 8 x 5 = 120cm³
Figure 2:
2 x 5 x 6 = 60cm³
Total Volume = 120 + 60 = 180cm³
Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
P = 0.12
So the percentage profit is 12%
Answer:
The single decimal multiplier that I will use to increase by 15% followed by a 14% increase is 1.311
Step-by-step explanation:
Let
x ----> the number
Remember that


we know that
Increase a number by 15% followed by a 14% increase is the same that multiply the number for (1.15)(1.14)
so

therefore
The single decimal multiplier that I will use to increase by 15% followed by a 14% increase is 1.311
Answer:
Part 1) The value of y=6
Part 2) ED=36, DB=36 and EB=72
Step-by-step explanation:
In this problem we know that
ED=DB -----> equation A
EB=ED+DB -----> equation B
The point D is the midpoint ED
see the attached figure to better understand the problem
step 1
Find the value of y
Substitute the given values in the equation A

solve for y



step 2
Find the value of ED,DB and EB

substitute the value of y

Remember that
ED=DB
therefore

Find the value of EB
EB=ED+DB
