Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.
Answer:
True speed of the car is 87 km/h.
Step-by-step explanation:
Speed = 100 km/h
hike in speed = 25 %
Let the true speed is v.

Rational is the correct answer
The equation that models the number of students who live in apartments will be 6n + 15
<h3>How to illustrate the equation?</h3>
Total number of students T = 17n + 23
Students who live in dorm rooms on campus D = 11n + 8.
Therefore, the students who live in apartments will be:
= 17n + 23 - (11n + 8)
= 6n + 15
In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.
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(Mass) 2160g (Divided by) / (Volume) 240cm (Equals) = 9 (Density)