Given:
I have walked 20% of the way to school.
I have 1200 metres more to walk than when I have 20% of the walk remaining.
To find:
The distance from home to school.
Solution:
Let x be the distance from home to school.
I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.
It means 1200 is of the total distance from home to school.
Therefore, the distance from home to school is 2000 metres.
<u>Answer</u>: No, we do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.
Step-by-step explanation:
As per given , we have
, since
is two-tailed so , the test is a two tail test.
Since population standard deviation is unknown, so we use t-test.
Critical value (two-tailed) for significance level of 0.01=
For n =50 , and s= 4.8
Test statistic :
Since test statistic value (-1.18) lies in critical interval (-2.609228, 2.609228), it means the null hypothesis is failed to reject.
We do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.
Given:
In a right angle triangle θ is an acute angle and .
To find:
The value of .
Solution:
In a right angle triangle,
We have,
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
In a right angle triangle,
Therefore, the value of is
.