The midpoint is their average.
.. ((15, -1) +(9, -5))/2 = ((15+9)/2, (-1-5)/2) = (12, -3)
Answer:Let the two unknown numbers be x and y.
So, x-y=40 ........Equation 1
And 0.3(x)= 37.5/100 (y)
From equation 1, x=40+y
Now, multiply through by 100 in equation 2.
We have,
30x = 37.5 (y)
We can multiply through by 10 again,so that the number on the L.H.S becomes a whole number.
Therefore, we have
300x = 375 (y)
Put "x=40+y" in the equation above
That is, 300 (40+y) = 375 (y)
1200 + 300y = 375y
1200 = 375y - 300y
1200 = 75y
Divide both sides by 75 to get your y
Therefore, y =16
From equation 1, we had x= 40 + y
Therefore X = 40 + 16
X= 56
Therefore the two unknown numbers are 56 and 16 respectively.
Step-by-step explanation:
The greatest common factor is 3m^2n
Answer:
Probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 6, the number of orange ones is 4, and the number of green ones is 2 is (525/18564) = 0.0283
Step-by-step explanation:
We need to select 6 red jelly beans from 7 red ones, 4 Orange jelly beans from 5 Orange ones and 2 green jelly beans from 6 green ones.
This can be done in the following way
⁷C₆ × ⁵C₄ × ⁶C₂ = 7 × 5 × 15 = 525
But totally, 12 jelly beans can be selected from 18 jelly beans in
¹⁸C₁₂ = 18564
Probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 6, the number of orange ones is 4, and the number of green ones is 2 is
525/18564 = 0.0283
Are the inequalities x > 3 and 3 < x equivalent?
They both say that x must be larger than 3. No bickering here. So yep, they're equivalent.
Inequalities usually have a lot of solutions—in fact, infinitely many. Think about the inequality x > 3. This inequality states that "x must be larger than 3." Any number bigger than 3 is a solution to this inequality. That includes 3.001, 3.0001, 4, 5, 2 million, and every other number bigger than 3. We don't have time at the moment to name them all,
