Answer:
x= 3, y = 5
Step-by-step explanation:
(45x -5) + (16x + 2) = 180° (because p and q are parallel )
61x = 180 therefore x = 3
(16x +2) + 26y = 180° (because it's a right angle)
we already kniw x is 3 sp just put the values in place and you will find the answer as 5.
Answer:
The sprinter
Step-by-step explanation:
Change cyclist to same units as sprinter (m/s)
20 km = 20x1000 m = 20000 m
1 hour = 60 minutes = 60 x 60 = 3600 sec
So 20 km/hr = 20,000 m / 3600 sec = 5.6 m/s
The sprinter is faster as he travels at 8 m/s.
(Similarly if you change the sprinter's speed into km/hr
you should get 28.8 km/hr)
Answer:
B) $32,600
Step-by-step explanation:
450,000 x 7.25% =
450,000 x 0.0725 = 32625 which is around 32,600
Answer: 2.308 .
Step-by-step explanation:
Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.
Given: 
Probability is 0.87 that there will be at least 15 earthquakes .
i.e. 
![\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\ \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}]](https://tex.z-dn.net/?f=%5CRightarrow%5C%20P%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5Cgeq%5Cdfrac%7B15-17.6%7D%7B%5Csigma%7D%29%3D0.87%5C%5C%5C%5C%20%20%5CRightarrow%5C%20P%28Z%5Cgeq%5Cdfrac%7B-2.6%7D%7B%5Csigma%7D%29%3D0.87%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D)
Z-value corresponding to p-value 0.87 is -1.1263 .
So, 
Hence, the required standard deviation = 2.308 .
