A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.
2 answers:
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Answer:
value of QZ = 8 units and QM = 12 units.
Step-by-step explanation:
Given: In triangle PQR has medians QM and PN that intersect at Z.
If ZM = 4 units.
In the figure given below; second median divided the two triangles formed by the first median in the ratio 2:1.
We have to find the value of QZ and QM;
QZ:ZM = 2: 1
⇒
Substitute the value of ZM =4 units and solve for QZ;
Multiply both sides by 4 we get;
Now, calculate QM;
QM = QZ+ZM = 8 + 4 = 12 units.
Therefore, the value of QZ and QM are; 8 units and 12 units
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.