Answer:
13
Step-by-step explanation:
The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.
Answer:
0.708
Step-by-step explanation:
The calculation of the value of the linear correlation coefficient R is shown below:-
Cost Number
9 85
2 52
3 55
4 68
2 67
5 86
9 83
10 73
Value of linear correlation coefficient R is 0.70772136
or
= 0.708
For clarification look at the spreadsheet which has been attached and uses the following steps which are as follows
Step 1
To activate the data analysis option:- Go to file menu click on add-in option and choose the manage option and select Excel Add-in option click on Ok after that choose Analysis Tool Pak
Step 2
After following step 1 choose data tab and select data analysis tab and select correlation and click ok
Step 3
After selecting correlation to select the range from $A$2:$B$9 and then click OK to reach the value of linear correlation coefficient R.
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:
Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!
Answer:
Step-by-step explanation:
i
Answer:
Louis has faster pitch when compared to each of their teams.
Step-by-step explanation:
We have two pitchers which we need to compare to each of their teams.
To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.
For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Jerry speed is approximated by the standard normal distribution:
For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Louis speed is approximated by the standard normal distribution:
As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.