F(t) = (t^-1) - t
Taking derivative:
<span>f'(t) = d/dt(t^-1) - t) = d/dt(t^-1) - d/dt(t) </span>
<span>f'(t) = -1(t^-2) -1
= -t^-2 - 1 </span>
<span>f'(t) = v(t),
It can be also written as :
-1/t^2 - 1 </span>
<span>So v(3) = -1/(3^2) - 1 = -1/9 - 1 = -10/9</span>
The answer and the process is shown in the following picture
Answer:
18.67% probability that the sample proportion does not exceed 0.1
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For the sampling distribution of a sample proportion, we have that 
In this problem, we have that:

What is the probability that the sample proportion does not exceed 0.1
This is the pvalue of Z when X = 0.1. So



has a pvalue of 0.1867
18.67% probability that the sample proportion does not exceed 0.1
200,000 is ur answer u welcme
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+5x−2=90
Step 1: Simplify both sides of the equation.
2x+8+5x−2=90
2x+8+5x+−2=90
(2x+5x)+(8+−2)=90(Combine Like Terms)
7x+6=90
7x+6=90
Step 2: Subtract 6 from both sides.
7x+6−6=90−6
7x=84
Step 3: Divide both sides by 7.
7x7=847
x=12