Answer:
a. z-score = -1.2
b. The age 23 years old is -1.2 standard deviations below the mean
c. The age is not unusual
Step-by-step explanation:
a. Transformation to z-score
Mathematically;
z-score = (x - μ)/σ
where σ and μ are the standard deviation and the mean respectively.
From the question, x = 23, μ = 27.2 and σ = 3.5
Let’s put these into the equation;
z-score = (23-27.2)/3.5 = -1.2
b. Interpretation of result
The interpretation is that 23 years old is -1.2 standard deviations below the mean
c. Determination
The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual
-1.2 is above -2 and thus it is not unusual
The area of the parallelogram with a height of 13cm and base 20cm is 260cm².
<h3>
How to find area of a parallelogram?</h3>
A parallelogram is simply a quadrilateral with two pairs of parallel sides.
The area of a parallelogram is expressed as;
A = base × height
Given the data in the diagram;
- Height of the parallelogram = 13cm
- Base of the parallelogram = 20cm
- Area of the parallelogram = ?
Plug the given values into the equation above and solve for A.
A = base × height
A = 20cm × 13cm
A = 260cm²
The area of the parallelogram with a height of 13cm and base 20cm is 260cm².
Learn more about parallelogram here: brainly.com/question/1563728
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Answer:
Step-by-step explanation:
1/2k - 3/8k.....lowest common denominator is 8
4/8k - 3/8k = 1/8k <===
Subtraction, you’d -6 to the other side and m=-10
