Answer:
option C 13.5%
Step-by-step explanation:
As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as
P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]
P(64<X<66.5)=P(-2<Z<-1)
P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)
P(64<X<66.5)=0.4772-0.3413=0.1359
Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.
If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.
Answer:
C) 3/5
Step-by-step explanation:
Have you heard of this way to memorize the trig ratios?
SOH-CAH-TOA (Say it out loud so you remember it.)
It represents these ratios:
Sine = opposite side / hypotenuse
Cosine = adjacent side / hypotenuse
Tangent = opposite side / adjacent side
In this problem, cos C = adj / hyp = BC / AC = 24 / 40.
That simplifies to 3/5
The circumference of Earth is 24,901 miles
Answer:
21
Step-by-step explanation:
Given the following expressions
f(x) = x³-2x
g(x) =-x-2
We are to find (fog)(-5)
fog = f(g(x))
f(g(x)) = f(-x-2)
Replace x with -x-2 in f(x)
f(-x-2) = (-x-2)³-2(-x-2)
f(-x-2) = (-x-2)³+2x+4
fog = (-x-2)³+2x+4
Substitute x = -5 into the result
fog(-5) = (-x-2)³+2x+4
fog(-5) = (-(-5)-2)³+2(-5)+4
fog(-5) = (5-2)³-10+4
fog(-5) = 3³-6
fog(-5) = 27-6
fog(-5) = 21
Hence the required result of the composite function is 21
Well, something around 522 so probably like 500 or 525
