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2 years ago

Dr. Shah visits patients at their homes. The equation y = 150x + 50 represents the amount

Mathematics

1 answer:

Veronika [31]2 years ago

4 0

Answer:

Step-by-step explanation:

The equation that represent the total cost is in form of equation of a line y = mx+c

m is the gradient of the line

c is the intercept (The point where the line cuts the y - axis

If the equation given y = 150x + 50 is graphed, it will look like a straight line and the y- intercept will represent 50 when compared with the general equation of a line.

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A road rises 80 feet in 350 feet. what is the gradient angle of the road

GrogVix [38]

(80/350)*100 = 22.85%

3 0

2 years ago

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:

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.

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

Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4

BlackZzzverrR [31]

S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3

S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24

6 0

2 years ago

Fill in the blanks. a. A relative-frequency distribution is to a variable as a __________ distribution is to a random variable

RideAnS [48]

Answer:

a. A relative-frequency distribution is to a variable as a ___probability_______ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a _____probability_____ histogram is to a random variable.

Step-by-step explanation:

Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,

where 0 represent impossibility and 1 represents the chance of it occurring.

4 0

2 years ago

John is participating in a marathon that is 26.2 miles. His distance (d, in miles) depends on his time (t, in hours). Which is a

madreJ [45]

The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.

We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.

6 0

2 years ago