I would like to take the opportunity to thank you for a wonderful evening last night. I had a great time meeting new and old people alike. The food and music were fantastic and well-chosen. The guests were all knowledgeable in a variety of topics which lead to many pleasant discussions. I look forward to enjoying your company. Once again, thank you for a great evening.
Answer:
10 or -2 (Both work)
Step-by-step explanation:
Solve the equation |x - 4| = 6:
|x - 4| = 6
Now do the inverse operation of negative 4 to get positive 4.
|x - 4| = 6
+ 4 + 4
|x| = |10|
x = 10
Answer:
The critical value of <em>t</em> is 2.000.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean in case the population standard deviation is not known is:
The information provided is:
<em>n</em> = 57
Confidence level = 95%
As the sample size is large enough, i.e. <em>n</em> = 57 > 30 the sampling distribution of sample mean can be approximated by the normal distribution.
The distribution of sample statistic is normal and the sample size is quite large. This implies that it is appropriate to use a <em>t</em>-interval.
Compute the critical value of <em>t</em> as follows:
*Use a <em>t</em>-table for the critical value.
Thus, the critical value of <em>t</em> is 2.000.
<h3>
Answer: the y intercept is (0, 4)</h3>
=====================================================
Explanation:
We'll need the slope first
Pick any two points from the table and plug them into the slope formula.
I'm going to use the first two rows to get the two points.
m = (y2 - y1)/(x2 - x1)
m = (64-44)/(24-16)
m = (20)/(8)
m = 5/2
m = 2.5
The slope is m = 2.5
Use this slope value with any (x,y) pair in the table. I'll use (x,y) = (16,44)
---------------------
Plug m = 2.5, x = 16 and y = 44 into the equation below. Solve for b
y = mx+b
44 = 2.5*16 + b
44 = 40 + b
44-40 = b
4 = b
b = 4
The y intercept is b = 4
As an (x,y) point, we say the y intercept is (0, 4). The x coordinate of the y intercept is always 0 since x = 0 for any point on the y axis.
The equation y = mx+b turns into y = 2.5x + 4
This is the same as saying y = (5/2)x + 4
To check this equation works, plugging x = 16 should lead to y = 44.
Plugging in x = 24 should lead to 64
Finally, plugging in x = 32 should lead to 84.
I'll let you do this part.