Answer: 0.8413
Step-by-step explanation:
population mean = 3
population variance = 0.03
sd (standard deviation) = √0.03
Let x = sample mean
x has a mean of 3 and sd of √0.03/√3 = √0.01 = 0.1
And we can aprox the sample mean distribution using a normal distribution
Note: this approximation maybe is not so good (n = 3)
with mean = 3 and sd = 0.1
z = (x-3)/0.1 has a standard normal distribution
P(x<3.1) = P(z<(3.1-3)/0.1) = P(z<1) =0.8413
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 3x+2
Let x=4
f(4) = 3(4)+2
= 12+2
= 14
-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer
Answer: -2
Step-by-step explanation: The average rate of a function f(x) from x=a to x=b is given as:
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
Hence, the average rate of change is calculated as:
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:
-2
