The opposite of 1/3 = -1/3
the opposite of -7/12 = 7/12
Answer:
mean = 2.55
Standard deviation = 1.118
Step-by-step explanation:
Probability of babies who are boys
P = 0.51
Then we have q = 1-p
= 1-0.51
= 0.49
We have n = 5
We calculate the mean as:
np
= 0.51x5
= 2.55
Therefore mean = 2.55
The standard deviation
= √variance
= √npq
= √0.51x5x0.49
=√1.2495
= 1.118
A reflection over the x-axis only change the signal of the coordinate y of the point. Hence, the coordinates of vertex B' are:

.
Answer:
x = 83°
Step-by-step explanation:
41, 56 and the missing angle = 180° ( form a straight angle )
missing angle = 180° - (41 + 56)° = 180° - 97° = 83°
The angle x and the missing angle are vertically opposite and congruent
Hence x = 83°
The last step in a proof contains the conclusion