Jamal wants to construct a tangent line to circle O that passes through point M. He started by drawing a segment from point O to
2 answers:
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Answer:
Step-by-step explanation:
We have been given that the The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.
To solve our given problem we will use z-score formula.
where,
,
,
,
Upon substituting our given values in z-score formula we will get,
Therefore, the z-score of a company employee who makes an annual salary of $54,000 is 5.
Answer:
The graph that includes points (-3,-3) and (0,3)
Step-by-step explanation:
In the pictures attached, the options are shown.
The equation:
y+3=2(x+3)
has the point-slope form, which is:
y-y₁=m(x-x₁)
where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:
y+3=2(0+3)
y+3 = 6
y = 6 - 3
y = 3
Then, point (0, 3) is on the line.
Answer:
a. Scatterplot is attached.
b. Positive Correlation
c. Correlation coefficient=0.9219
Step-by-step explanation:
a.
The following procedure will be used to obtain the scatter plot
- Open an Google Sheets file online or excel sheet on your computer.
- In column B and C, enter the Income and Vacation data as provided above.
- Select the data > click on insert CHART.
- Chose Scatter Chart option
- Click OK.
A scatter plot visualizing your data should be displayed as attached.
b.
- On your computer, open a spreadsheet in Google Sheets.
- Double-click on your scatter plot.
- At the right, click on Customize tab and then Series.
- Scroll down and check the Trend line box
-From the trend line, your notice that your variables have a positive correlation.
-As the income increases, so does vacation expenditure.
c. The correlation coefficient can be calculated as follows.
- Click on any empty cell in the sheet and enter the formula
- "=CORREL((y-axis range),(x-axis range))"
- ENTER
-From our Google Sheets calculation our variables have a positive correlation and the correlation coefficient is 0.9219
-The correlation coefficient,r can also be calculated manually:
-let x be income, and y be vacation and divide all the values by 100 to make the smaller and easier to manipulate:
