Answer:
B. 93%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (122 − 100) / 15
z = 1.47
Find the probability using a calculator or z-score table.
P(Z < 1.47) = 0.93
Length. : 3. 4. 6. 8. 9.
Cost ($) : 24. 32. 48. 64. 72
Answer:
The inverse f-1(x) = ( x + 10)/2.
Step-by-step explanation:
f(x) = 2x - 10
Find x in terms of f(x):
2x = f(x) + 10
x = (f(x) + 10))/ 2
Replace x by the inverse f-1(x) and f(x) by x:
f-1(x) = (x + 10)/2.
Answer:
Step-by-step explanation:
Let's organise our information :
- the function is (1/2)x²+2x+3
we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7
Now the trick is to write this expression as a quadratic equation with zero at one side :
- (1/2)x²+2x+3-x-7=0
- (1/2)x²+x-4=0
Now let's solve this equation :
Δ=1²-4*(1/2)*(-4)
= 9
So we have two solutions :
So the solutions are -4 and 2