<span>1) y varies directly with x, then we have: y = kx, k is the constant of variation
y = kx
14 = - 4k
k = 14/- 4, or - 7/2, or - 3.5
y = kx
y = - 3.5(- 6)
y=21
2) </span><span>201.6 is the right answer.see the procedure used in Q1.
3) K = y/x
= 9/12
= 3/4</span>
Answer:
15.15% probability that both months (different) have less than 31 days.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Also, the order of the months is not important. For example, picking July and August is the same as picking August and July. So the combinations formula is used to solve this problem
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

There are 12 months, of which February, April, June, September and November, that is, 5 of them, have less than 31 months.
Desired outcomes:
Picking 2 months from a set of 5(those with less than 31 days). So

Total outcomes:
Picking 2 months from a set of 12(all the months). So

Probability:

15.15% probability that both months (different) have less than 31 days.
F(x)=x^2
x=-1→f(-1)=(-1)^2→f(-1)=1
g(x)=1/(2x+3)
g(f(-1))=g(1)→x=1→g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
Answer: Option C.) 1/5
Answer: 5504
Step-by-step explanation:
This involves us finding the sum of all odd integers from 141 to 203.
We can interpret this as an arithmetic sequence with first term 141 and common difference 2.
This sequence has
terms.
So, the sum is:
