Answer:
Option B is right.
Step-by-step explanation:
Whenever a system of inequalities is given, normally we will get a collection of points that satisfy all the inequalities in the system
Option B is right
Option A is wrong because a single point cannot be a solution for all inequalities of a system normally an interval would be there
Option C is wrong since a single point if satisfies atleast one cannot be solution for the full system unless it satisfied all inequalities
Option D is wrong because satisfying atleast one inequality is not sufficient but satisfying all inequalities is a must.
360.
A general rule of thumb when dealing with questions like these is using the following equation:
(number of numbers) x (mean) = sum of numbers
Proof/Example: 7, 10, 13
There are 3 numbers here and the mean is 10. Multiply them together and you will get 30, just as you will get 30 from adding them together.
In this case, there are 4 numbers and the mean is 90, so 4 x 90 = 360.
Answer:
126
Step-by-step explanation:
To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.
How many marbles is there in total? 4 + 3 + 2 + 1 = 10
We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.
We have to pick 4 out of those 9.... so, it's simple combination calculation:
C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126
Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).
To find the mean (average), add up all ur numbers and divide by how many numbers there are.
(0 + 1 + 2 + 3) / 4 = 6/4 = 1.5 <==
