which of the following is the probability that a blue marble will be selected from a bag containing 9 red marbles,6 blue marbles
2 answers:
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Answer:
The x-intercept represents that after 10 in. of rain there are mosquitoes.
Or
The x-intercept represents that after 0 in. of rain there are no mosquitoes.
Step-by-step explanation:
We are given a table that represents the population of mosquitoes in a certain area as a function of inches of rainfall :
RAINFALL(in.) POPULATION (millions.)
0 0
1 9
3 21
4 24
5 25
6 24
We will first find the function P(t) which denotes the number of mosquitoes after t inches of rainfall.
As the function is quadratic.
Hence , let:
At t=0 we have, P(t)=0
at t=1 we have: P(t)=9
i.e.
Also at t=2 we have: P(t)=21
i.e.
On solving equation (1) and (2) we get:
a= -1 and b=10
Hence,
We know that the x-intercept of a graph is a point where the y-value is zero.
i.e. it is the inches of rainfall when the population of mosquitoes is zero i.e. there are no mosquitoes.
i.e. we have to find t such that:
P(t)=0
i.e.
Hence, we have got two x-intercept.
one at t=0 and the other at t=10.
The x-intercept represents that after 10 in. of rain there are no mosquitoes.
Or
The x-intercept represents that after 0 in. of rain there are no mosquitoes.
Answer:
Option B.
Step-by-step explanation:
Eric states the applied interest is simple interest. We need to check whether the this statement is true or false.
In simple interest, the amount of deposit increased at a constant rate. It means the difference between future values of any two consecutive years will same.
Difference between future values of first two years.
Difference between future values of 2nd and 3rd year is
Since d₁≠d₂, therefore, the given statement is false.
Thus, the correct option is B.