Answer:
<u>$911.25</u>
Step-by-step explanation:
We know:
1 yd = 3 feet
So, 1 cubic yards should be *THREE* times the power of what the initial scale factor is, 3 cubed. That would make it:
1 yd = 3 feet
1^3 yd = 3^3 feet
1 cu. yd. = 27 cu. ft.
That means, the price of 1 cubic feet of sand is 27 times of the price of 1 cubic yd price
33.75 * 27 = <u>$911.25</u>
Answer:
-3
Step-by-step explanation:
x - 4 = - 7
Carry over the - 4 and make x the subject.
x= - 7 + 4
x= - 3
Therefore x is - 3
Answer:
0.160275
Step-by-step explanation:
P(5 time heads) =P(fair penny and 5 time heads + weighted penny and 5 time heads)
probability of fair penny = 99/100 (as one is removed)
probability of heads = 50% = 0.5 flipped 5 times
probability of weighted penny = 1/100
probability of heads for this penny = 90% = 0.9
substituting, we have
=(99/100) * (1/2)*5 + (1/100) * (0.9)5 = 0.036842
hence from Bayes theorem
P(weighted penny | 5 time heads) =P(weighted penny and 5 time heads) / P(5 time heads)
=(1/100)*(0.9)5 /0.036842 =0.160275
Answer:
h(f(x)) = 2x - 11
Step-by-step explanation:
h(f(x)) is a "composite function." We use the function f(x) as the input to the function h(x):
h(x) = 2x + 3, or 2( x ) + 3; replacing x with f(x), or x - 7, we get:
h(f(x)) = 2(x - 7) + 3, or
h(f(x)) = 2x - 14 + 3, or
h(f(x)) = 2x - 11
62 = x + 2
-2 - 2
x = 60
Both of them should equal to each other or congruent to each other
