Question:
The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30 pm. Faris assumes that the coach will travel at an average speed of 50 mph; using his assumption workout Faris’s arrival time in London
Answer:
Step-by-step explanation:
Given
Required
Determine the time of arrival
First, we need to calculate the time to complete the journey.
Make Time the subject
Substitute values for Distance and Speed
The arrival time is:
Split
Convert 0.9 hours to minutes
Answer:
39.6 cm²
Step-by-step explanation:
The formula for the area of a trapezoid is given as:
Area of a Trapezoid = 1/2(a + b) h
Where, from the question:
a = 8.9 cm
b = 5.5 cm
h = 5.5cm
Hence,
1/2 (8.9cm + 5.5cm) × 5.5cm
= 1/2 × 14.4 cm × 5.5 cm
= 39.6 cm²
Area of the Trapezoid = 39.6 cm²
Answer:
Step-by-step explanation:
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
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.95 or 95%, the value of 
and 
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that 
Now we have everything in order to replace into formula (1):
Answer:
a=1 b=3 c=-4
Step-by-step explanation:
using almighty formular
a=1 b=3 c= - 4
