Answer:
Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.
Step-by-step explanation:
Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.
Given that he spent 5 hours in driving.
And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.
Given that his average rate in the morning was twice his average rate in the afternoon.
(150/x) = 2 * 50/(5-x)
150/x = 100/(5-x)
Cross multiplying terms, we get:-
150*(5-x) = 100*x
750 - 150x = 100x
750 = 100x + 150x
750 = 250x
x = 750/250 = 3.
It means he spent 3 hours in the morning and 2 hours in the afternoon.
So morning's average rate = 150/3 = 50 mph.
and afternoon's average rate = 50/(5-3) = 25 mph.
Answer:
r = ( -14.4 , 6.47 )
Step-by-step explanation:
in the photo you will find all the steps
y = m
x + b
.
y = 6
x − 7
Hope this helped!
Answer:
0.3876<p<0.4389
Step-by-step explanation:
-Given 
-We calculate the proportion of surveys returned:
For a 99% confidence interval:
#The margin of error is calculated as;
The confidence interval are then:
![CI=\hat p\pm ME\\\\=0.4134\pm 0.0255\\\\=[0.3876,0.4389]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20ME%5C%5C%5C%5C%3D0.4134%5Cpm%200.0255%5C%5C%5C%5C%3D%5B0.3876%2C0.4389%5D)
Hence, the confidence interval is 0.3876<p<0.4389
