production for five people was as follows: 8 units, 11 units, 6 units, 12 units, 8 units. what was their average production in u
2 answers:
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Answer:
The area of the shaded region is
Step-by-step explanation:
<u><em>The correct question is</em></u>
A circle with radius of 4cm sits inside a circle with a radius of 11cm. What is the area of the shaded region?
The shaded region is the area outside the smaller circle and inside the larger circle
we know that
To find out the shaded region subtract the area of the smaller circle from the area of the larger circle
so
simplify
where
r_a is the radius of the larger circle
r_b is the radius of the smaller circle
we have
substitute
assume
substitute
Answer:
<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>
Step-by-step explanation:
The Empirical Rule (68-95-99.7%)-
According to this around 95% of the data will fall within two standard deviations of the mean.
As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.
As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.
i.e
We know that,
where,
X = raw score = 14,000
μ = 10,000
σ = 4,000
Putting the values,
Now, calculating the value from the z score table,
As the probability at is the area below that, so 84% of the wage earners earn less than $14,000 each.
