A student government organization is interested in estimating the proportion of students who favor a mandatory "pass-fail" gradi
1 answer:
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Check the picture below.
notice, is just a circle inscribed in a square.
now for the first one, we know the diameter is 14, so the square is a 14x14, and the radius of that is half the diameter or 7.
now, if we get the area of the square, which includes the area of the circle, and THEN get the area of the circle and subtract it from the square's, what's leftover is the shaded section.
now, for the one on the right-hand-side, the radius is 8, and square's area is 16x16,
notice, is just a circle inscribed in a square.
now for the first one, we know the diameter is 14, so the square is a 14x14, and the radius of that is half the diameter or 7.
now, if we get the area of the square, which includes the area of the circle, and THEN get the area of the circle and subtract it from the square's, what's leftover is the shaded section.
now, for the one on the right-hand-side, the radius is 8, and square's area is 16x16,
Answer:
183.26cm
Step-by-step explanation:
Radius of the Circle = 50cm
Let the point be at A
It turns forward 210 degrees to B.
Therefore, the central angle subtended by the arc AB = 210 degrees
The movement of the point from A to B will be the length of the arc AB.
Answer:
And using a calculator, excel ir the normal standard table we have that:
And we can calculate the probability like this:Step-by-step explanation:
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We can find the probability required like this:
And using a calculator, excel ir the normal standard table we have that:
And we can calculate the probability like this: