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.
Answer:
(1/2 ,3) or (0.5, 3) is the same
Step-by-step explanation:
The midpoint between (3,5) and (-2,1) would be:
Apply the formula:
x1+x2 / 2 , y1 + y2 / 2
= 3 + (-2) / 2, 5 + 1 /2
= 1/2, 6/2
= 1/2 ,3 or 0.5, 3 is the same
Hope this helped :3
Answer:
Domain: (−∞,∞),{x|x∈R}
Range: (−∞,∞),{y|y∈R}
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
Range: (−∞,∞),{y|y∈R}
Like in money?Is there a specific amount?. or anything more to what I would have?I need more details
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant