Answer:
P(spin a multiple of 3 = 1/3
Step-by-step explanation:
multiple of 3 = 3,6,9,12
P(spin a multiple of 3) = 4/12 = 1/3
No. It's rather simple, down to addition. Ask yourself, what does 6 + 8 equal? 6 + 8 = 14. Now is this an odd number? No, 14 is an even number.
I hope this helps! If not I'm sorry.
Answer:
-276
Step-by-step explanation:
We'll use the method of cofactors. Use the coefficient +6 for
9 2
8 10
This gives you one third of the solution: 6 {(9)·(10) - (8)(2) }, or 444.
Next, use the coefficient 9, taking care to change the sign to -9 as follows:
9 1
-9 | | = -9(90 - 8) = -9(82) = -738
8 10
Finally with +2 as y our coefficient, evaluate the cofactor
9 1
9 2
ending up with
+2(18-9) = +2(9) = 18
Finally add these three results together:
+444 - 738 + 18 = -276
This, the determinant, D, is -276 (the fourth answer choice)
Answer:
-q + p
Step-by-step explanation:
p - (p - q) - q - (q - p) = p - p + <u>q -q</u> - q + p
= 0 + 0 - q + p
= -q + p
Answer:
d = 13.8 feet
Step-by-step explanation:
Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

Simplify on the right to get

Divide both sides by 125.6637061 to get that

Taking the square root of both sides gives you
r = 6.90988299
But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8