When Emily arrives from school she spent a minute eating a snack then she spent 15 playing with her dog and 32 doing her chores
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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.
The slope intercept form is given as y = 2x + 6
The general expression for slope intercept form is given as:
y = mx + c
where, m = slope
c = intercept
The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :
(1)
where ( = the coordinates of a point
m = slope of the line
putting the required values in equation (1) we get
(y - 4) = 2(x- (-1))
(y - 4) = 2(x+1) [As (-)*(-) = +]
y - 4 = 2x + 2
y = 2x + 2 + 4
y = 2x + 6
Thus the slope intercept form is y = 2x + 6
Learn more about slope intercept form here : brainly.com/question/19440459
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