Remember: SOH-CAH-TOA
Sine (of an angle!) = opposite / hypotenuse
We're looking at angle M here, to find the sine of M. Looking from angle M, the side that is opposite is NO and the hypotenuse is MO.
sin(M) = NO / MO = NO / 13
We do not know NO, but we can use the Pythagorean theorem to find NO because this is a right triangle.
Pythagorean theorem: a^2 + b^2 = c^2
---a and b are legs of the triangle, c is the hypotenuse
12^2 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 5
NO = 5
sin(M) = NO / MO = 5 / 13
Answer: sin(M) = 5 / 13
Hope this helps!
Answer:
The median is the best measure of center for distributions C and D.
Step-by-step explanation:
The <u>median</u> is the best measure of center for skewed distributions or distributions with outliers because it is a <u><em>robust</em></u> statistic, meaning that outliers and skewed data have <em>little effect </em>on the median.
Meanwhile, the <u>mean</u> is a good measure of center for symmetric distributions since it is <u><em>non-robust</em></u>.
Answer A has a roughly symmetric distribution, and answer B has a uniform distribution.
Answer C has a left-skewed distribution, and answer D seems to have a right-skewed distribution (since the right tail is longer than the left tail).
Therefore, the <u>median</u> would be the <u><em>best measure of center</em></u> for choices C and D.
Total=shirtcost+tax
shirtcost=100%
8.5%+100%=108.5%=1.085
1.085 times 25.99=28.19915
round
total cost is
$28.20
