For the graph shown, determine which letter represents the mean, the median, and the mode. Letters may be used more than once.
1 answer:
The correct labels are: Mean = C, Median = B and Mode = A
<h3>How to determine the labels?</h3>The image that completes the question is added as an attachment
From the image, we can see that the graph is skewed left
In a left skewed distribution,
- mean is less than the median
- median is less than the mode
This means that:
Mean is the smallest and mode is the highest
Hence, the correct labels are:
Mean = C, Median = B and Mode = A
Read more about skewness at:
#SPJ1
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Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( +
)
= +
= tanx + 1 = right side ⇒ verified