Answer:
x≤-2
Step-by-step explanation:
it would be that because if the graph is going to the left that means it is less than x and the opposite is for greater than. Now if there is a closed circle that means the sign is equal to hence the line under the sign. So therefore it's x≤-2
Answer:
18
Step-by-step explanation:
Answer:
Invertible functions
Step-by-step explanation:
An inverse of a function is one that reverses the operation of the function such that the result of the function on a variable, is reversed back to the initial variable
Therefore, when we have the the result of the function, f on x as y given as follows;
f(x) = y
The inverse of the function, g on the result, y gives the initial variable, x as follows;
g(y) = x
Example of invertible functions includes;
f(x) = x²
An example of a non-invertible function includes;
f(x) = 2·x².
Answer:
We conclude that the population mean is 24.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean,
= 22.8
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 8.3
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value with the help of standard z table.
P-value = 0.1498
Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.
Now,
Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.