Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is
0.16 × 848 = 136 cups
42.86% error was in the scientist's estimation.
Step-by-step explanation:
Given data;
Approx amount = 4 ml
Exact amount needed = 7 ml
Percentage error = 
42.86% error was in the scientist's estimation.
Keywords: error, percentage
Learn more about percentages at:
#LearnwithBrainly
Answer:
35
Step-by-step explanation:
11 × 3 = 33
+ 2 = 35
Robin is 11 (11)
Gwen is 2 years (+2) more than 3 times (×3) Robins age
Answer:
70 and 110
Step-by-step explanation:
The two angles add to 180 degrees since they form a straight line
2x+10 +3x+20 =180
5x+30 = 180
Subtract 30 from each side
5x+30-30 =180-30
5x = 150
Divide by 5
5x/5 =180/5
x = 30
The left angle is 2x+10 = 2*30+10 = 60+10 =70
The right angle is 3x+20 = 3*30 +20 = 90+20 = 110
Answer:
Step-by-step explanation:
Note that this function resembles the absolute value function y = |x|.
The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.
The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.
The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.
