Answer:
1) 0.7104 = 71%
2) 0.6615 = 66%
3) 0.8944 = 89%
Step-by-step explanation:
1)
Z(low)=-2.333 0.009815329
Z(upper)=0.583 0.720165536
2)
Z(low)=0.333 0.63055866
Z(upper)=8322.908 1
3)
Z(low)=-10.417 0
Z(upper)=1.25 0.894350226
Answer:
A, B and F
Step-by-step explanation:
Area of 2 triangles:
2(½ × 6 × 8)
48 in²
Area of 3 rectangles:
3(18 × 6)
324 in²
Total surface area:
324 + 48
372 in²
-2
Even though it may seem as if 2 is smaller, on the number line, the numbers to the right are bigger then the numbers to the left, leaving you with -3 is less than -2.
X=1
y=-1.5(1)
y=-1.5
(1,-1.5)
x=0
y=-1.5(0)
y=0
(0,0)
x=2
y=-1.5(2)
y=-3
(2,-3)
x=3
y=-1.5(3)
y=-4.5
(3,-4.5)
all you do is substitute the x value in the equation to get y
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
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