Answer:
0.555555556
Step-by-step explanation:
Answer:
t= 2.52 hours
Step-by-step explanation:
It is given that for first 30 km, the speed of bicyclist is v km/hour
time taken to cover first 30 km is given by
(
)
for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed
so the speed to cover next 17 km = v+2
time taken to cover next 17 km is given by
![t_{2} =\frac{17}{v+2}](https://tex.z-dn.net/?f=t_%7B2%7D%20%3D%5Cfrac%7B17%7D%7Bv%2B2%7D)
now total time t spent by the bicyclist to cover entire trip is given by
![t=t_{1} +t_{2}](https://tex.z-dn.net/?f=t%3Dt_%7B1%7D%20%2Bt_%7B2%7D)
![t=\frac{30}{v} +\frac{17}{v+2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B30%7D%7Bv%7D%20%2B%5Cfrac%7B17%7D%7Bv%2B2%7D)
now if v=18 , we have
![t=\frac{30}{18} +\frac{17}{20}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B30%7D%7B18%7D%20%2B%5Cfrac%7B17%7D%7B20%7D)
now to add fractions we make the denominator same
Hence we will find the LCM of 18 and 20
LCM of 18 and 20 = 180
now we need to make both the denominator equal to 180
![t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B30%2810%29%7D%7B18%2810%29%7D%20%2B%5Cfrac%7B17%289%29%7D%7B20%289%29%7D)
![t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B300%7D%7B180%7D%20%2B%5Cfrac%7B153%7D%7B180%7D%20%3D%5Cfrac%7B300%2B153%7D%7B180%7D)
hours (approx)
Answer:
a
![z-score = 1.57](https://tex.z-dn.net/?f=z-score%20%3D%201.57)
b
![z-score_s = -3.36](https://tex.z-dn.net/?f=z-score_s%20%3D%20-3.36)
Step-by-step explanation:
From the question we are told that
The sample size is n = 103
The sample mean of sag is ![\= x_1 = 353](https://tex.z-dn.net/?f=%5C%3D%20x_1%20%3D%20%20353)
The sample mean of swells is ![\= x_2 = 184](https://tex.z-dn.net/?f=%5C%3D%20x_2%20%3D%20%20184)
The standard deviation of sag is ![s_1 = 30](https://tex.z-dn.net/?f=s_1%20%20%3D%20%2030)
The standard deviation of swells is ![s_2 = 25](https://tex.z-dn.net/?f=s_2%20%20%3D%20%2025)
The number of swell for a randomly selected transformer is k = 100
The number of sag for a randomly selected transformer is c = 400
Generally the z-score for the number of swells is mathematically represented as
![z-score_s = \frac{ k - \= x_2}{s_2}](https://tex.z-dn.net/?f=z-score_s%20%3D%20%5Cfrac%7B%20k%20-%20%5C%3D%20x_2%7D%7Bs_2%7D)
=> ![z-score_s = \frac{ 100- 184}{25}](https://tex.z-dn.net/?f=z-score_s%20%3D%20%5Cfrac%7B%20100-%20184%7D%7B25%7D)
=> ![z-score_s = -3.36](https://tex.z-dn.net/?f=z-score_s%20%3D%20-3.36)
Generally the z-score for the number of sags is mathematically represented as
![z-score = \frac{ c - \= x_1}{s_1}](https://tex.z-dn.net/?f=z-score%20%3D%20%5Cfrac%7B%20c%20-%20%5C%3D%20x_1%7D%7Bs_1%7D)
![z-score = \frac{ 400 - 353}{30}](https://tex.z-dn.net/?f=z-score%20%3D%20%5Cfrac%7B%20400%20-%20353%7D%7B30%7D)
![z-score = 1.57](https://tex.z-dn.net/?f=z-score%20%3D%201.57)
Answer:
the second one
Step-by-step explanation:
i read the problem and answered it
Answer:
-5
Step-by-step explanation:
15=-x+10
x-10=-15
x=-15+10
x=-5