Answer: see below
<u>Step-by-step explanation:</u>
Multiply the coefficient by the exponent and reduce the coefficient by 1.
1) f'(x) = 10
2) f'(x) = 12x³ + 4x - 5
3) f'(x) = 6x² + 7
4) f'(x) = 20x + 20
5) f'(x) = 20x + 23
I do not know the answer and I just need points sorry
Answer:
The growth rate was 5.87%
Step-by-step explanation:
Time interval is t=1999−1962=37 yearsInitial cost in 1962 was a=4 unit Final cost in 1999 was y=33 unit Exponential growth function :y=a(1+r)t;a>0,r>0,ris rate of growth in decimal form.y=a(1+r)tor33=4(1+r)37 or(1+r)37=334or(1+r)37=8.25 , taking log on bothsides we get, 37log(1+r)=log(8.25) orlog(1+r)=log(8.25)37orlog(1+r)≈0.24769(1+r)=100.24769or1+r≈1.0587∴r=0.0587 orr%=0.0587⋅100≈5.87%The growth rate was 5.87% [Ans]
Let X be the hip breadth for men. X follows Normal distribution with mean μ =14.8 and standard deviation σ =1.1
Here we have to find the hip breadth for men that separates the smallest 90% from the largest 10%
That is we have to find X that separates lower 90% area from upper 10%. For that we will first find z such that probability below it is 0.9 and above it 0.1
P(Z < z) =0.9
Using z score table to find z value
We do not have probability value exactly 0.9 so we will take probability close to 0.9 which is 0.8997 and corresponding z score is 1.28
So we have P(Z < 1.28) =0.9
Now using z=1.28, μ =14.8 and σ =1.1 we will find value of x
x = z*σ + μ
= (1.28 * 1.1) + 14.8
x = 16.208 rounding to nearest integer x= 16
The hip breadth that separates lower 90% area from upper 10% is 16 inch