Answer:
[34,54]
Step-by-step explanation:
-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.
Where:
- 68% is the first standard deviation
- 95% is the second standard deviation about the mean
- 99.7% is the 3rd standard deviation about the mean.
-Therefore. the middle 95% interval is calculated as:
Hence, the interval is [34,54]
So hmm notice the first picture, that's the "inscribed angle theorem", as you'd know
now, notice angle 2 in yours on the second picture
Rectangle:
A=l(w)
A=12(6)
A=72cm^2
Semicircle:
r=6/2
r=3
A=(3.14(r)^2(1/2)
A=3.14(3)^2(1/2)
A=3.14(9)(1/2)
A=14.13cm^2
A=14.1cm^2
Total area: 72cm^2 + 14.1cm^2 = 86.1cm^2