Answer:
Step 1: It should be m∠m + m∠n + m∠o = 180° (sum of angles in a triangle)
Step-by-step explanation:
He made the mistake in Step 1: m∠m + m∠n + m∠p = 180°
It should be m∠m + m∠n + m∠o = 180°
Then only, he can equate it with m∠o + m∠p in step 3.
So, m∠p is the exterior angle and m∠m and m∠n are the two remote interior angles.
m∠o is the adjacent angle to m∠p. They form a linear pair.
Hence, the correct answer is Step 1.
Answer:
a) A. Grouped and C. Discrete
b) 0<t≤2
c) 15%
Step-by-step explanation:
Explanation for b):
11 40 <u>53</u> 95 141
The group of 0<t≤2 contains the median.
Explanation for c):
11+40+53+95+141= 340
11+40=51
51/340= .15= 15%
Answer:
The lower limit is 36
Upper limit is 96
Standard deviation is 30
Step-by-step explanation:
Considering the range of the test score which is 60. i.e the difference between the largest and the smallest number is 60. The mean is 66 which is a measure of central tendency. That is it is at the centre of the distribution. Dividing 60 by 2 gives 30.
Adding 30 to the mean will indicate our upper limit i.e 30+66=96
Also, subtracting 30 from 66 will give the lower limit i.e. 66-30=36
The Distance between the range and the mean is the standard deviation
Which in this case is +30 or -30
If you would like to solve the equation x - 6 = - 14, you can calculate this using the following steps:
x - 6 = - 14
x = - 14 + 6
x = - 8
The correct result would be d. - 8.