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.
Answer:
Its 180!
Step-by-step explanation:
Answer:=================================================
Step-by-step explanation:
the first one
The slope of the line is 4
The point slope form of the line can be written as (y - 8) = 4(x - 9)
The slope intercept form of the line is y = 4x - 28
In order to find the slope you will need to use the formula for slope. It is included below.
m(slope) = (y2 - y1)/(x2 - x1)
m = (8 - -12)/(9 - 4)
m = (8 + 12)/(9 - 4)
m = 20/5
m = 4
Now that we have the slope, we can plug it into point slope form along with one of the points.
(y - y1) = m(x - x1)
(y - 8) = 4(x - 9)
Now to get to the slope-intercept form of the line, we can simply manipulate the point-slope form until it is in y = mx + b
(y - 8) = 4(x - 9) ----> Distribute the 4
y - 8 = 4x - 36 -----> Add 8 to both sides
y = 4x - 28
The coefficient of 10x and the last term 16 is what we'll focus on. Specifically just the numbers only (ignore the variable x for now).
Think of two numbers that both multiply to 16, and also add to 10. Those two numbers are 8 and 2 (in any order). You basically find this through trial and error.
8 + 2 = 10
8 * 2 = 16
So it factors to (x+8)(x+2). Since order of multiplication does not matter, this is the same as (x+2)(x+8)
