Answer:
36 ft
Step-by-step explanation:
So the proportion of the big triangle is 48:4 or 12:1. So if the small triangle’s height is 3 feet, then 3*12 is 36 feet.
By critically observing the graph, we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
In conclusion, there are four (4) points of intersection on this graph.
Read more on graphs here: brainly.com/question/25875680
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So in 5 acres of land produces 21,000 pounds of strawberries.
Step-by-step explanation:
Step 1:
Last year,
acres i.e 3.5 acres produced 14,700 pounds of strawberries. So we need to determine how many strawberries were produced per acre.
To do this we divide the total number of strawberries produced by the number of acres it was produced in.
The number of strawberries produced per acre
pounds.
Step 2:
To determine the number of strawberries in 5 acres of land, we multiply the number of strawberries per acre by the number of acres.
The number of strawberries produced in 5 acres
pounds.
So in 5 acres of land produces 21,000 pounds of strawberries.
So the mean is 72.97
We need to subtract the mean from each value and square it.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209
Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333
The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8