Answer:
53.3333.
Step-by-step explanation:
Since were asking to put 32 in the form of this ratio, we need to first turn the ratio into a fraction, in our case it is 5/3. Next we multiply 32 by 5/3 or to make it more simple multiply 32 by 5 to get 160, then divide 3 to get 53.3...
Hope this helps.
Answer:
AC = 24
Step-by-step explanation:
DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...
2·DE = AC
2(2x -14) = 3x -15
4x -28 = 3x -15 . . . . . eliminate parentheses
x = 13 . . . . . . . . . . . . . add 28-3x to both sides
AC = 3x -15 = 3(13) -15
AC = 24
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<em>Additional comment</em>
DE = 2(13) -14 = 12, half the length of AC.
Answer:
Step-by-step explanation:
a) P(K) = 0.7
b) P(R|K) = 1
c) P(K|R) = P(KnR) /P(R)
= P(K) x P(R|K) / ( P(K) x P(R|K) + P(K') P(R|K')
= 0.7 x 1 / ( 0.7 x 1 + (1-0.7) x 1/N)
= 0.7/(0.7 + 0.3/N)
d) P(K|R) > 0.99
0.7/(0.7 + 0.3/N) > 0.99
N > 42.86
N = 43 will be the value of N that will ensure that P(K|R) >99%
For this, we need to know the length of the base at the time of interest. It will be
... A = (1/2)bh
... b = (2A)/h = 2(81 cm²)/(10.5 cm) = 108/7 cm
Differentiate the formula for area and plug in the given numbers.
... A = (1/2)bh
... A' = (1/2)(b'h +bh')
... 3.5 cm²/min = (1/2)(b'·(10.5 cm) + (108/7 cm)·(2.5 cm/min))
... 7 cm²/min = 10.5b' cm + 38 4/7 cm²/min . . . . simplify a bit
... -31 3/7 cm²/min = 10.5b' cm . . . . . . . . . . . . . . . subtract 38 4/7 cm²/min
... (-220/7 cm²/min)/(10.5 cm) = b' ≈ -3.0068 cm/min
The base is changing at about -3 cm/min.
Answer:
34% diesel 29% total crude oil -60 million barrels total
Step-by-step explanation:
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