Plug in the function for h(T) into the variable (T) for function g(t)
Plug in 4 to h(t) then plug in that answer to g(T) to get g(h(4))
g(h(4)) = 3(4(T)-5)+5
3(4(4)-5)+5
3(16-5)+5
3(11)+5
=38
9514 1404 393
Answer:
27 in
Step-by-step explanation:
The relationship between angle A, adjacent side AC, and hypotenuse AB is ...
Cos = Adjacent/Hypotenuse
cos(A) = AC/AB
Multiplying by AB, we get ...
AC = AB·cos(A)
AC = (30 in)cos(25°)
AC ≈ 27 in
The answer is 2/5. Divide both the numerator and denominator by 7. :)
We are given:
p = probability = 0.12<span>
n = total students = 39 </span>
x = left handers = 5<span>
u = mean = p* n = 4.68
σ = standard dev = √ ( n*p*(1-p)) = √ ( 39 * 0.12 * 0.88 ) =
2.03</span>
Calculating for the z score:
z = (x – u) / σ<span>
z = (5 – 4.68) / 2.03</span>
<span>z
= 0.1576 = 0.16
</span>
Using the standard tables for z, the p value is:
p value = 0.5636 = 56.36%
Hence there is a 56.36% chance.
<span> </span>