Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,




Taking square root on both sides.


Therefore, the distance between S and S' is 13 units.
Answer:
The percentages are 267% and 400% respectively.
Step-by-step explanation:
To find the answers of these, you need to divide the second number by the first. This will give you the percentage.
2/3 ÷ 1/4 = 8/3 = 2.67 = 267%
You can do the same for the second one.
2/3 ÷ 1/6 = 12/3 = 4 = 400%
Answer:
80°
Step-by-step explanation:
176 - 32 = 144
144(4/9) = 80°
the answer is 80°
Answer: a) The probability is approximately = 0.5793
b) The probability is approximately=0.8810
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
a) The formula for z -score :

Sample size = 1
For x= 63 in. ,

The p-value = 

Thus, the probability is approximately = 0.5793
b) Sample size = 35
For x= 63 ,

The p-value = 

Thus , the probability is approximately=0.8810.