Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
Over 5 weeks 20 reduction in waste removed.
Therefore 4 per week.
Therefore gradient -4w.
-4 x 5 + c = 60
-20 + c = 60
c = 80
dumpsters removed = d
weeks = w
d = 80 - 4w
,
,
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
and
to be independent, we must have
in which case we have
, which is true, so
and
are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.
Standard deviation would be the best measurement of variance. Most of the numbers are between 91 and 89 and are thus very close together and most of the data would be within that small range. The outlier of 60 makes the rance variance go from 60 to 91 when all but 6 percent of the class can be represented between 91 and 89.
Answer:
12
Step-by-step explanation:
if there is 24 inches of ribbon it would be 12 because 12 inches = 1 foot
