Determine the number of standard deviations that needs to be subtracted from or added to the mean in order to arrive to the values given.
(1) 45 = 61.2 - 21.4n ; n = 0.757
(2) 78 = 61.2 + 21.4n ; n = 0.785
(3) 62 = 61.2 + 21.4n ; n = 0.037
(4) 90 = 61.2 + 21.4n ; n = 1.346
(5) 31 = 61.2 - 21.4n ; n = 1.4
Therefore, the answer for 45 and 78 is approximately 1 (letter b), for 62 is zero (letter a), and for the last two numbers, more than 1 or two (letter c).
Solution:
Let the distance of house from the theater be x miles.
Total travelling time![=3.5-2.25=1.25 Hr](https://tex.z-dn.net/?f=%20%3D3.5-2.25%3D1.25%20Hr%20)
Then average speed![=\frac{Distance}{Time}= \frac{2x}{1.25}\\](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7BDistance%7D%7BTime%7D%3D%20%5Cfrac%7B2x%7D%7B1.25%7D%5C%5C%20)
Terrence walks at a pace of 2 mi/h to the theater and back home at 40 mi/h.
So Average Speed
mi/hr
Both the average speed should be equal. So we can write
![\frac{2x}{1.25}=21\\ \\ 2x=1.25*21\\ \\ x=13.125\\](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B2x%7D%7B1.25%7D%3D21%5C%5C%0A%5C%5C%0A2x%3D1.25%2A21%5C%5C%0A%5C%5C%0Ax%3D13.125%5C%5C%20)
Hence the distance from home is 13.125 miles.
Answer:
Step-by-step explanation:
the answer is 2
Answer:
The equation is: ![800.5 + 45.25p \leq 1479.25](https://tex.z-dn.net/?f=800.5%20%2B%2045.25p%20%5Cleq%201479.25)
The team can bring at most 15 players to the tournament.
Step-by-step explanation:
They rented a bus for $800.50 and budgeted $45.25 per player for meals.
This means that the cost for bringing p players is given by:
![C(p) = 800.5 + 45.25p](https://tex.z-dn.net/?f=C%28p%29%20%3D%20800.5%20%2B%2045.25p)
Members of a baseball team raised $1479.25 to go to a tournament.
This means that:
![C(p) \leq 1479.25](https://tex.z-dn.net/?f=C%28p%29%20%5Cleq%201479.25)
So
![800.5 + 45.25p \leq 1479.25](https://tex.z-dn.net/?f=800.5%20%2B%2045.25p%20%5Cleq%201479.25)
![45.25p \leq 1479.25 - 800.5](https://tex.z-dn.net/?f=45.25p%20%5Cleq%201479.25%20-%20800.5)
![p \leq \frac{1479.25 - 800.5}{45.25}](https://tex.z-dn.net/?f=p%20%5Cleq%20%5Cfrac%7B1479.25%20-%20800.5%7D%7B45.25%7D)
![p \leq 15](https://tex.z-dn.net/?f=p%20%5Cleq%2015)
The team can bring at most 15 players to the tournament.