Find the value of a in the parallelogram.
1 answer:
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Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
=
( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
Answer:
Mean:
Step-by-step explanation:
Given
See attachment for data
Solving (a): The mean
Mean is calculated as:
From the attached:
So, the mean is:
Solving (b): The median
; this is an even number. So, the median is:
This implies that the median is the average of the 7th and 8th item.
Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>
The 7th and 8th items are: 40.2 and 40.2
The median is:
Solving (c): The mode
43.4 has the highest number of occurrence.
So:
