Answer:
27720
Step-by-step explanation:
Denote by the binomial coefficient "n choose k". Given k<n, is the number of ways of choosing k elements from a set of n elements (the order in which we choose the elements doesn't matter).
First, we can form the group of 3 students. This is done by choosing 3 students from the class of 12 students, so it can be done in ways. We can't repeat students, then we must form the other groups from the remaining 9 students. If we next form the group of 4 students, there are ways of choosing it. Now, there remain 5 students without a group, so they have to conform the group of 5 and this can only be done in 1 way. By the multiplication principle, the number of ways of forming the groups is
Answer: a 46.79 pens
Step-by-step explanation: trust me
Answer:
B
Step-by-step explanation:
Use the formula for radius and circle circumference.
Since we know the diameter, if we divide that by 2, we can get the radius.
Now we can plug that value into the circumference formula to get the circumference.
*Since we're rounding to the nearest inch.
Answer:
Step-by-step explanation:
Given equations are
15x + 15y + 10z = 106
5x + 15y + 25z = 135
15x + 10y - 5z = 42
The augmented matrix by using above equations can be written as
Hence, we can write from augmented matrix,
Answer: No It's not proportional as the constant of proportionality for both of them.are different.
Step-by-step explanation:
For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:
y = kx
150 = 5.5k
k = 27.27
For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:
y = kx
250 = 40k
k = 250/40
k = 6.25
This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.