Answer:
B
Step-by-step explanation:
how is that mathematics ?
this is psychology or something related.
A is clearly wrong. she knows it is messy.
C is not a conflict. this is the precondition for the conflict.
D no, that is nowhere stated. wrong.
that leaves B if it was not clear from the beginning.
Answer:
- domain: {4, 7, 10, 13, 16}
- range: {3, 6, 9}
Step-by-step explanation:
The domain is the list of first numbers of the ordered pairs: {4, 7, 10, 13, 16}.
The range is the list of second numbers of the ordered pairs: {3, 6, 9, 6, 9}. The numbers only need to be listed once, so we can write the range as ...
{3, 6, 9}.
Answer:
Bus speed: 22 mph; Trolley speed: 14 mph
Step-by-step explanation:
Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).
Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.
Thus,
60 mi 44 mi
--------------------- = time (same in both cases) = -------------
rt + 8 mi/hr rt
Cross-multiplying, we get 44rt + 8(44) = 60 rt, or
352 = 16rt.
Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph
The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph
Hello!
![\large\boxed{c = 12.65}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bc%20%3D%2012.65%7D)
Use the Pythagorean Theorem to solve for the hypotenuse:
a² + b² = c²
Plug in the given values:
12² + 4² = c²
144 + 16 = c²
160 = c²
Take the square root of both sides:
c = √160
c ≈ 12.65.
Answer:
New year Standard deviation = 2255.25
Step-by-step explanation:
Years: 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003
New Year: 141 142 178 72 219 138 171 134 210 70
Memorial: 191 174 185 197 138 183 156 190 188 181
Formula:
![Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Ctext%7BSum%20of%20all%20observation%7D%7D%7B%5Ctext%7BTotal%20number%20of%20observations%7D%7D)
![S.D = \sqrt{\displaystyle\frac{\sum(x_i - \bar{x})^2}{n}}](https://tex.z-dn.net/?f=S.D%20%3D%20%5Csqrt%7B%5Cdisplaystyle%5Cfrac%7B%5Csum%28x_i%20-%20%5Cbar%7Bx%7D%29%5E2%7D%7Bn%7D%7D)
a) Mean = ![\frac{1475}{10} = 147.5](https://tex.z-dn.net/?f=%5Cfrac%7B1475%7D%7B10%7D%20%3D%20147.5)
![S.D = \sqrt{\frac{42.25+ 30.25+ 930.25+5700.25+ 5112.25+ 90.25+ 552.25+ 182.25+ 3906.25+ 6006.25}{10}}\\= \sqrt{\frac{22552.5}{10} }\\= 2255.25](https://tex.z-dn.net/?f=S.D%20%3D%20%5Csqrt%7B%5Cfrac%7B42.25%2B%2030.25%2B%20930.25%2B5700.25%2B%205112.25%2B%2090.25%2B%20552.25%2B%20182.25%2B%203906.25%2B%206006.25%7D%7B10%7D%7D%5C%5C%3D%20%5Csqrt%7B%5Cfrac%7B22552.5%7D%7B10%7D%20%7D%5C%5C%3D%202255.25)
b) The standard deviation of the memorial day will be less than the new years day because for memorial day, the data points are not varying as in case of new year. Basically, we can say the spread in case of new year is more as compared to memorial day. Hence, standard deviation of memorial year is less than the new years day.