Answer:
2 cubic yards
Step-by-step explanation:
In this problem we are simply finding the volume of a 3D shape. We can calculate this by L × W × H.
9.5 × 12 × 1/3 = 48 ft³
(Note: 4 inches is 1/3 foot)
This means Rosilaine needs 48 cubic feet of wood chips. However, the wood chips are sold in yards, so we need to convert cubic feet to cubic yards.
48 ÷ 27 = 1.777 (repeating decimal)
This means Rosilaine should buy 2 cubic yards of wood chips.
2a + b = 9.4
There are 3 parts, 2 go to Rod A, 1 go to Rod B.
9.4 / 3 = 3.13333 recurring
Rod A = 2(3.13)
= 6.26
Rod B =
3.13
Rounding, Rod A = 6.3 , Rod B = 3.1
Since the exponent of the scientific notation is positive 4, move the decimal 4 places to the right
704000
Hope this helps! :)
~Zain
Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
Answers:
a) 0.0625
b) 0.9375
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Work Shown:
The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625
The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375
You can think of it like this
P(getting all four heads) + P(getting at least one tail) = 1
The phrasing "at least one tail" means "one tail or more".
