For substitution this is what answer I got but I don’t know if that’s what your looking for
What is a third variable condition that could create the following correlation? The popularity of online job portals is correlat
2 answers:
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Answer:
Answer d)
,
, and
Step-by-step explanation:
Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".
So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:
where we use the fact that the sine of 60 degrees can be written as:
We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:
In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:
where we used the value of the sine function of 30 degrees as one half:
Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:
Therefore, our answer agrees with the values shown in option d)
Answer:
(B) the mean is less than the mode and less than the median.
Step-by-step explanation:
Mean, Median, Mode is used to calculate the central tendency of the distribution.
Mean is defined as,
∴ Mean = 5
Median is the middle observation of the distribution after arranging it in ascending or descending order.
So, arranging distribution in ascending order we get,
$1, $2, $4, $6, $7, $7, $8
Also, a number of observation is 7 which is an odd number.
Hence,
⇒
⇒ Median = 4th term = 6
Mode is the observation which has highest frequency.
Here, only $7 is repeated 2 times.
Hence, Mode = 7.
Hence, we see that Mean < Median < Mode
So, Option (B) is correct i.e. mean is less than the mode and less than the median.