Answer:
Step-by-step explanation:
let they travel the distance between them alone
d = common distance traveled by both motorcycle and car = 540 miles
= time taken by motorcycle to travel distance between them
= speed of the motorcycle = 48 mph
time taken by motorcycle to travel distance between them is given as
= d/
=540/48
= 11.25 h
= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h
= speed of the motorcycle
speed of motorcycle is given as
= d/
= 540/9
= 60 mph
when the car and motorcycle move towards each other, the relative speed is given as
v = + 
v = 60 + 48
v = 108 mph
t = time taken to meet
Time taken to meet is given as
t = d/v
t = 540/108
t = 5 h
Answer:
And rounded up we have that n=20545
Step-by-step explanation:
Assuming this question: Use the data to find minium sample size required to estimate population proportion. Margin of error: 0.009, confidence level: 99%, p and q are unknown.
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Assuming an estimation of p as 
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=20545
Answer:
I think it would be y=x
Step-by-step explanation:
I might be wrong
Formula: SA = 2πr² + 2πrh
h =40 in
Diameter d =12 in.
Radius = r = d/2 = 12/2 = 6 in
SA = 2π6² + 2π*6*40 = 72π + 480π = 552π (in²)
SA = 552π = 552*3.14 = 1733.28 (in²)
Answer: 1733.28.
Any graph f(x) can be changed to f(x-3) by changing any x to x-3.
For example: Let f(x) = x^{2} + 2x + 4
Find f(x-3) by replacing all x's with x-3.
f(x-3) = (x - 3)^{2} + 2(x - 3) + 4
Then we can simplify and we will have f(x-3).
