Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so
we have
Find the height of the right triangle applying the Pythagorean Theorem
The radius of the semicircle is half the height of triangle
substitute in the formula
Answer:
The answer is -(29+3a).
Step-by-step explanation:
=2(3-4a)+5(a-7)
= 6- 8a +5a -35
= 6-35-8a+5a
= -29-3a
= -(29+3a)
<em>Hope</em><em> </em><em>it helps</em><em>.</em><em>.</em>
"−5 − 4i" is the one among the following expressions given in the question that <span>is the conjugate of a complex number with −5 as the real part and 4i as the imaginary part. The correct option among all the options that are given in the question is the third option. I hope that this is the answer that has helped you.</span>
Answer:
a) 95% of the widget weights lie between 29 and 57 ounces.
b) What percentage of the widget weights lie between 12 and 57 ounces? about 97.5%
c) What percentage of the widget weights lie above 30? about 97.5%
Step-by-step explanation:
The empirical rule for a mean of 43 and a standard deviation of 7 is shown below.
a) 29 represents two standard deviations below the mean, and 57 represents two standard deviations above the mean, so, 95% of the widget weights lie between 29 and 57 ounces.
b) 22 represents three standard deviations below the mean, and the percentage of the widget weights below 22 is only 0.15%. We can say that the percentage of widget weights below 12 is about 0. Equivalently we can say that the percentage of widget weights between 12 an 43 is about 50% and the percentage of widget weights between 43 and 57 is 47.5%. Therefore, the percentage of the widget weights that lie between 12 and 57 ounces is about 97.5%
c) The percentage of widget weights that lie above 29 is 47.5% + 50% = 97.5%. We can consider that the percentage of the widget weights that lie above 30 is about 97.5%