Answer:
The committee of 8 members can be selected in 990,675 different ways.
Step-by-step explanation:
The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
4 teachers from a set of 6.
4 students from a set of 37.
Then
The committee of 8 members can be selected in 990,675 different ways.
Answer:
width =19 inches
length= 27 inches
Step-by-step explanation:
Let width be w inches so according to given scenario as length is 8 more than width so the equation becomes
l=8+w inches (Equation 1)
Area of Rectangle= L*w
Area= 513
L*w=513 (Equation 2)
Putting l's value from equation 1 in equation 2
(8+w)w=513
w^2+8w-513=0
Making Factors
w^2+27w-19w-513=0
w(w+27)-19(w+27)=0
(w-19)(w+27)=0
w=19, w=-27
as width cannot be negative so if we only consider w=19 then
l=8+19
l=27
Answer:
12 possibilities
Step-by-step explanation:
In the first urn, we have 4 balls, and all of them are different, as they have different labels, so the group of two red balls r1 and r2 is different from the group of red balls r2 and r3.
The same thing occurs in the second urn, as all balls have different labels.
The problem is a combination problem (the group r1 and r2 is the same group r2 and r1).
For the first urn, we have a combination of 4 choose 2:
C(4,2) = 4!/2!*2! = 4*3*2/2*2 = 2*3 = 6 possibilities
For the second urn, we also have a combination of 4 choose 2, so 6 possibilities.
In total we have 6 + 6 = 12 possibilities.
By greater if you mean faster, then you are comparing the fractions 11/10 and 7/6. Finding a common denominator, which is thirty, we get the fractions 33/30 and 35/30. We can see that 35>33, making Song B faster.
Answer:
h≈9cm
Step-by-step explanation:
V=
π
r
2
h
3 h=
3
V
π
r
2
=
3
602.88
π
8
2
≈
8.99544cm
