the sum of supplementary angles is 180 degree
therefore
x +2x = 180°
3x = 180
X = 180/3 = 60°
the value of X is 60°
We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.
(a) Average time that it would take reach school can be obtained by adding the average times.
8+20 = 28 minutes.
(b) Standard deviation of the trip to school can be found as:

Therefore, standard deviation of the entire trip is 4.47 minutes.
(c) Let us first find z score corresponding to 30 minutes.
We need to find the probability such that 
Therefore, the required probability is 0.67.
(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.
(e) Standard deviation won't change it will remain 4.47
(f) The new probability will be:


Therefore, probability will be 0.50.
I don’t have the time for my birthday but I’m just asking for a little
Answer: 3,150 ft.
Step-by-step explanation: multiply all sides together
Answer: should be -1/ sqrt of 3. If it asks to rationalize it could be -sqrt of 3/3
Step-by-step explanation: