Over 140 times bigger because 25 cm³ of sugar is 40 grams (25×1.6)
and .2 cm³ of aspartame is 0.27 grams (0.2×1.35)
and 40 is 148 times as big as 0.27 (0.27×148.1481481≈40)
TheThe number of ounces of concentrate that were in the original container before any juice was made is 320 ounces and the number of juice that can be made using the whole container of concentrate is 1600 ounces.
<h3>Number of ounces</h3>
A. Let assume the two are linear relationship
Let y represent juice made
Let x represent the concentrate remaining
Hence:
Slope=600-200/200-280
Slope=400/-80
Slope=-5
y=-5x+b
Where:
x=200
y=-5(200)+b=600
y=-1000+b=600
b=1600
Thus,
y=-5x+1600
y=0. -5x+1600=0
-5x=-1600
divide both side by 5x
x=-1600/-5
x=320 ounces
B. x=0
y=1600 ounces
Therefore the number of ounces of concentrate that were in the original container before any juice was made is 320 ounces and the number of juice that can be made using the whole container of concentrate is 1600 ounces.
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This question is incomplete, the complete question is;
Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.
Find the indicated probability. P(67 < x < 72)
(Round to four decimal places as needed.)
Answer:
the indicated is 0.0222
Step-by-step explanation:
Given the data in the question;
mean μ = 80
standard deviation σ = 4
p ⇒ P ( x -μ / σ )
so
P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ / σ ) < P( 72-80 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ / σ ) < P( -8 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 < z < -8 / 4 )
P(67 < x < 72) ⇒ P( -3.25 < z < -2 )
⇒ P( z < -2 ) - P( z < -3.25)
Now from z table;
⇒ 0.02275 - 0.00058
P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222 { four decimal places }
Therefore, the indicated is 0.0222