Answer:
Step-by-step explanation:
The volume of a cylinder can be determined using the formula V = Bh where B is the area of the base of the cylinder and h is the height.
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
In the real world, calculating volume is probably not something that you will use as often as calculating area.
However it can still be important. Being able to calculate volume will enable you to, for example, work out how much packing space you have when moving house, how much office space you need, or how much jam you can fit into a jar.
It can also be useful for understanding what the media mean when they talk about the capacity of a dam or the flow of a river.
Answer:
f(3) = 45
Step-by-step explanation:
Substitute x = 3 into f(x) and evaluate
f(3) = 15 × 3 = 45
Answer:
The required rate of interest = 14.285%
Step-by-step explanation:
Here, The principal amount = 7,000
The final paid amount = 9,000
Time = 2 years
Let us assume the rate of interest = R
Now, Simple Interest = Amount - Principal
= 9,000 - 7,000 = 2,000
So, the SI on the given principal for 2 years = 2,000

or, R = 14.285%
Hence, the required rate of interest = 14.285%
Answer:
The 90 % confidence interval for the mean population is (11.176 ; 20.824 )
Rounding to at least two decimal places would give 11.18 , 20.83
Step-by-step explanation:
Mean = x`= 16 miles per hour
standard deviation =s= 4.1 miles per hour
n= 4
= 4.1/√4= 4.1/2= 2.05
1-α= 0.9
degrees of freedom =n-1= df= 3
∈ ( estimator t with 90 % and df= 3 from t - table ) 2.353
Using Students' t - test
x`±∈ * 
Putting values
16 ± 2.353 * 2.05
= 16 + 4.82365
20.824 ; 11.176
The 90 % confidence interval for the mean population is (11.176 ; 20.824 )
Rounding to at least two decimal places would give 11.18 , 20.83
• Factors of 46 =1, 2, 23, 46.
• Distinct Factors of 46 = 1, 2, 23, 46.