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.
1) a. x = number of cars
b. x - 12
2) a. x = number of packages
b. 16 + 1/2x
3) a. x = number of coins
b. 1/2x - 6
4) 17 + x = 78
Subtract 17 from each side.
x = 61
5) x - 33 = 78
Add 33 to each side.
x = 111
6) x * 84 = 327.6
Divide each side by 84
x = 3.9
7) 1333/8.6 = 155
The speed was 155mph.
8) 2475/110 = 22.5
The trip took 22 and a half hours. (Or "The trip took 22.5 hours."
Step-by-step explanation:
In statistics, the empirical rule states that for a normally distributed random variable,
- 68.27% of the data lies within one standard deviation of the mean.
- 95.45% of the data lies within two standard deviations of the mean.
- 99.73% of the data lies within three standard deviations of the mean.
In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as
where the symbol 
(the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, 
is the mean and 
is the standard deviation of the normal distribution defined as 
.
According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution 
,
Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.
Primary effects are the direct result of the natural disaster, such as collapsed buildings and water damage. Secondary effects are the result of primary effects. ... Tertiary effects are the long term effects of natural disasters.
Answer:
THE ANSWER IS B
Step-by-step explanation:
