Answer:
Answer: 14
Step-by-step explanation:

Area = PI x r^2
r = 4.1
r^2 = 4.1 * 4.1 = 16.81
PI x 16.81 = 52.8 square miles
A) x is less than it equal to 1 because your domain can’t have h(x) because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the x coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain
Answer:
g(f(6)) = 6
Step-by-step explanation:
The two functions are:
f(x) = 2x - 6
g(x) = x

i.e., g(x) becomes the input for f(x).
Here, we are asked to determine g(f(x)).
We will have: g(f(x)) = g(2x - 6)
Since, g(x) = x, g(2x - 6) = 2x - 6
When x = 6, g(f(6)) = 2(6) - 6
= 12 - 6 = 6
g(f(6)) = 6 is the answer.
Answer:
19.74% of temperatures are between 12.9°C and 14.9°C
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.
In this question, we have that:

What proportion of temperatures are between 12.9°C and 14.9°C?
This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.
X = 14.9



has a pvalue of 0.2420
X = 12.9



has a pvalue of 0.0446
0.2420 - 0.0446 = 0.1974
19.74% of temperatures are between 12.9°C and 14.9°C