Step-by-step explanation:
This is a linear equation in slope intercept form which is
where m is the slope and b is the y intercept.
The equation
Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.
In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.
Convert the mixed number <span>21 <span>2/3</span></span><span> into an </span><span>improper fraction.
</span>15⋅<span>65/3
</span><span>Cancel 3 and 15.
</span><span>5⋅65
</span>Multiply 5<span> by </span>65<span> to get </span><span>325.
</span>325
Answer:
325
Checking if the sequence is an arithmetic sequence
7 - 1 = 6
13 – 7 = 6
Therefore the sequence is arithmetic, with a_0 = 1 and d = 6
a_n = a_0 + (n-1)d
a_30 = 1 + (29)(6)
= 175
Therefore the 30th term is 175.
Question 5, x could be either 6 or -1.
Answer: Two-tailed test.
Population mean is the parameter which is tested.
Step-by-step explanation:
Given : 
We know that , the alternative hypothesis (
) indicates kind of the hypothesis test we need to perform whether left-tailed, right-tailed, or two-tailed.
Here, the alternative hypothesis () is two-tailed, so the hypothesis test is a two-tailed test.
Also, the parameter present in the hypothesis is 
which is a symbol to represent the population mean.
Thus , Population mean is the parameter which is tested.
