Answer:
900 square meters
Step-by-step explanation:
The property is in the shape of a square.
The perimeter of a square is given as:
P = 4L
where L = length of its side
Therefore, the length of the property is:
120 = 4 * L
L = 120 / 4 = 30 meters
The area of a square is given as:
A = L * L
Therefore, the area of the property is:
A = 30 * 30 = 900 square meters
Answer:
a. Describing a sample with mean and standard deviation.
Step-by-step explanation:
Statistics can be categorized into descriptive and inferential statistics.
descriptive statistics uses data for descriptions through numerical analysis. It can be further divided in four parts.
- Measures of Central Tendency ( Mean, Median, and Mode)
- Measures of Frequency (Count, Percent, Frequency)
- Measures of Position (Percentile Ranks, Quartile Ranks.)
- Measures of Dispersion ( Range, Standard Deviation)
Inferential statistics however is based on assumptions and conclusions and generalizations drawn from samples or checks.
options b to d are all examples of inferential statistics while option a is an example of descriptive statistics.
Hello!
To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.
Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.
-1/m when m = 2 → -1/2
y = -1/2x + b (substitute the given ordered pair)
-3 = -1/2(2) + b (simplify)
-3 = -1 + b (add 1 to both sides)
-2 = b | The y-intercept of the perpendicular equation is -2.
Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.
Answer:
-
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Step-by-step explanation:
First, we have to convert the mixed fractions to improper fractions
=
= 
=
= 
-
=
-
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We cannot simplify
so it is the final answer