Given the functions;
f(x) = 5x
g(x) = 2x-1
Required
The composite function f(g(x))
f(g(x)) = f(2x-1)
To get f(2x-1), we are to replace x with 2x-1 in f(x) as shown;
f(2x-1) = 5(2x-1)
Open the parenthesis;
f(2x-1) = 5(2x)-5(1)
f(2x-1) = 10x - 5
f(g(x)) = 10x - 5
Hence the composition f(g(x)) is 10x - 5
A rhombus has two equal sides
It's the mean of (2.57 x 10) minus 4
The mean is the average.
Answer:
There is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 300
p = 5% = 0.05
Alpha, α = 0.05
Number of dead pixels , x = 24
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from excel.
P-value = 0.00856
Since the p-value is smaller than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
Thus, there is enough evidence to support the claim that the true proportion of monitors with dead pixels is greater than 5%.
Assume the second number is x, then the other two are x - 2, x + 2
So x-2 + x + x + 2 = 51
-> 3x = 51
-> x = 17