Suppose that the mean and standard deviation of the scores in a Statistics exam are 75 and 9.5 respectively. What minimum score
1 answer:
The mean and standard deviation of the scores are 75 and 9.5 respectively.
The z-score is a means to find the probability of getting a particular score. This is calculated to be:
where x is the score, μ is the mean, and σ is the standard deviation.
To be a part of the top 2.5 percent, the probability is:
The z-score for this probability, that is, P
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The perimeter of the shape is 94 cm and the area is 462 sq cm.
Step-by-step explanation:
Given,
The radius (r) = 14 cm
To find the area and perimeter of the given shape.
The given shape is of the full circle.
Formula
The perimeter of the circle = 2πr
The perimeter of the given shape = (2πr)+r+r =
(2πr)+2r
The area of the circle = πr²
Now,
The perimeter of the given shape = (2×
×14)+2×14 = 94 cm
The area of the given shape = (πr²)
= ×
×14² = 462 sq cm
Answer:
independent: day number; dependent: hours of daylight
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
1.79 fewer hours on Feb 10
Step-by-step explanation:
a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).
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b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,
March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...
d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
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c) d(41) = 10.34, so February 10 will have ...
12.13 -10.34 = 1.79
hours less daylight.
