So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!
For the final poundage, we need v3:
v3 = 6 + v2 = 6 + 9 = 15 lbs
Answer:
48
Step-by-step explanation:
here, we are using an = ar^n-1
so, we have to find a4= ar^4-1 = ar^3
now, putting the given values in the equation,
a4= (6)(2)^3 = 6(8) = 48
therefore, the 4th term is 48.
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I don't really get this question but simply put, if you are in college syntax matters very much. (13-4) = 9 *(x-5) = 9x-45.. although in this case. since there isn't a bracket around 13-4. you'd multiply by the -4 first, giving you, 4x-20+30 =4x-10
Answer:7 mins
Step-by-step explanation:
47 minus 19 equals 28 4 times 7 equals 8
Answer:
(a) 
and 
(b) The sample variance is 
and the sample standard deviation is 
Step-by-step explanation:
(a)
The sum of these 17 sample observations is
and the sum of their squares is
(b)
The sample variance, denoted by 
, is given by
where 
Applying the above formula we get that
The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:
Applying the above formula we get that
