So, possible numbers divisible by 10.
There are 10 of them in the first 100 positive integers.
10, 20, 30, 40, 50, 60, 70, 80, 90, and 100.
And then the ones divisible by 3. There are 33.
3, 6, 9, 12, 15, 18, 21.. you get my point.
However, three of those are shared, 30, 60, and 90.
So basically add the two together and subtract three for the shared ones.
10 + 33 - 3 = 40
So there are 40 possibilities, so there is a 4/10 chance that the number is divisible by 10 or 3, so a 6/10 chance that the number is not divisible.
Or 3/5.
Answer:
The total flow in gallons is approximately 16.524 gallons
Step-by-step explanation:
The given diameter of the tank, D = 18 inches
The amount by which the water depth rose, Δh = 15 inches
The quantity being measured = The total flow = The change in volume of water in the tank
The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh
Substituting the known values, gives;
ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³
1 gallon = 231 in.³
ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³) ≈ 16.524 gallons
The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.
Answer:
Step-by-step explanation:
<u>Given vertices of triangle:</u>
- A(1, 2), B(3, 4), C(5, 0)
<u>The centroid is found as the average of x- and y- coordinates of three vertices:</u>
- C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
<u>Substitute the coordinates into formula:</u>
- C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)
Correct choice is B
That's false. p(x) can have any number of linear factors (one or more).
p(x) = x(x+1)(x+2)(x+3)
has p(-3)=0 and four linear factors.
