Answer:
576 cm²
Step-by-step explanation:
Given:
Number of sections in a suncatcher (n) = 6
Each section is in the shape of a parallelogram.
Base of parallelogram = 12 cm
Height of parallelogram = 8 cm
Now, area of a parallelogram is given as:
Area of parallelogram = Base × Height
Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²
Now, there are 6 parallelogram shaped sections.
So, area of the sections = area of 1 section × total number of sections
∴ Area of 6 sections = 96 cm² × 6 = 576 cm²
Therefore, the total area of the sections of a suncatcher is 576 cm².
Answer:
4/9
Step-by-step explanation:
Answer: x + 12 = 3x + -22
12 + x = 3x + -22
Reorder the terms:
12 + x = -22 + 3x
Solving
12 + x = -22 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + x + -3x = -22 + 3x + -3x
Combine like terms: x + -3x = -2x
12 + -2x = -22 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + -2x = -22 + 0
12 + -2x = -22
Add '-12' to each side of the equation.
12 + -12 + -2x = -22 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = -22 + -12
-2x = -22 + -12
Combine like terms: -22 + -12 = -34
-2x = -34
Divide each side by '-2'.
x = 17
Simplifying
x = 17
The given study is observational study
To gauge how strongly two variables are related to one another, correlation coefficients are used.
A statistical indicator of the strength of the association between the relative movements of two variables is the correlation coefficient. The values are in the -1.0 to 1.0 range. There was a measurement error in the correlation if the estimated value was larger than 1.0 or lower than -1.0. Perfect negative correlation is shown by a correlation of -1.0, and perfect positive correlation is shown by a correlation of 1.0. A correlation of 0.0 indicates that there is no linear link between the two variables' movements. Finance and investing can benefit from the usage of correlation statistics.
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Answer:
Step-by-step explanation:
Slope is an average. In this particular context, the slope of 6.9 (or 7) means that an average of 7 people entered the store every hour.
If x is the number of hours the store is open and we are told to find the number of customers that have entered the store after 5 hours, we fill in the equation as follows:
y = 7(5) + 10 and
y = 35 + 10 so
y = 45.
If you use 6.9 instead of 7:
y = 6.9(5) + 10 and
y = 34.5 + 10 so
y = 45.5
Since you can't count a half of a person, using 7 instead of 6.9 makes more sense.