Answer:

Step-by-step explanation:
Given:
Distance for north side = 7 miles.
Distance for east side = 24 miles.
We need to find the displacement.
Solution:
Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.
Using Pythagoras theorem to find displacement (AC).

Substitute AB = 7 and BC = 24 in above equation.




Therefore, displacement of the car 
Answer:
Step-by-step explanation:
l = 34 cm
height = 30 cm
radius = 16 cm
surface area of cone = πr (l +r)
=3.14 *16 (34 + 16)
=50.24*50
=2512 cm^2
volume of a cone =
πr^2h
=
*3.14*16^2 *30
=1.0466*256*30
=8037.888
=8037.89 cm^3
Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Step-by-step explanation:
Given
Null Hypothesis
--- works correctly at 419g
Alternate Hypothesis
--- under fills the bag
--- the sample
--- the mean
--- the standard deviation
--- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test





Calculate df



Calculate the p value from the Student's t-distribution at df = 14 and 
Given that: 
Since 
So, it means that the machine is under filling the bags