The inequality 2x - 3y ≥ 5 is satisfied by point (1/2, 1/3). True False

Mathematics

2 answers:

True [87]3 years ago

8 0

Answer:

false

Step-by-step explanation:

Blizzard [7]3 years ago

4 0

The correct answer for this statement would be FALSE. Let us try to prove it by plugging in the values. So 2 (1/2) - 3 (1/3) ≥ 5.
So that would be 1 - 3 ≥ 5..
-2 ≥ 5, which makes the result false because -2 is not more than or equal to 5, but instead, it is less than. I hope this answer helps.

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Suppose that Y takes on the values {0, 1, 2, 3}, each with probability 1/4. Take a random sample of 5 numbers from this distribu

arsen [322]

Answer:

The total number of samples that give this outcome is 5.

Step-by-step explanation:

Since Y takes values in {0,1,2,3}, For us to have that $Y_1+Y_2+Y_3+Y_4+Y_5=1$ implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that $Y_i=1$ . Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.