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astraxan [27]
2 years ago
5

15 and 30 are common multiples of 5 and A. if A is a one digit number greater than 1, what is a?​

Mathematics
1 answer:
agasfer [191]2 years ago
6 0

Answer:

a is 5 because there is no other one digit numbe that is a common multiple of 5

Step-by-step explanation:

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It costs $23 per hour plus a flat fee of $16 for a plumber to make a house call. What is the equation of the form y = mx + b for
Ad libitum [116K]
D is the best choice because y would be the total amount of money he would have to pay. X would be the amount of hours he uses the phone and the hourly fee is 23 so it would be 23x. the flat fee was 16 so you just add that on to the hourly fee. The whole equation should be y = 23x + 16
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The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip
Leya [2.2K]

Answer: See explanation

Step-by-step explanation:

Price of sandwich = $6

Food tax = 5% of $6

= 0.05 × $6

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2 years ago
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The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families.
marishachu [46]

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:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2}}\\\\\\\sum xy=153914\\\sum x=4485\\\sum y=246\\\sum x^2=2878447\\(\sum x)^2=4485^2=20115225\\(\sum y)^2=246^2=60516\\\sum y^2=8392\\n=8\\\\\#substitute \ and \ solve \ for \ r\\\\=\frac{8\times153914-4485\times 246}{\sqrt{[8\times 2878447-4485^2][8\times 8392-246^2]}}\\\\=0.92186\\\\\approx 0.9219

4 0
2 years ago
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field
GrogVix [38]

Answer:

9/20, or 0.45 mile.

Step-by-step explanation:\\

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

\frac{9}{10} × \frac{1\\}{2} is just 9/20, which is 0.45.

7 0
2 years ago
Which expression represents "10 subtracted from the quotient of 3 and a number"? a. 3n-10 b. 3/n - 10 (the / is a fraction bar)
kiruha [24]
B. because it is 10 being subtracted from the fraction. 
4 0
2 years ago
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