The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
Answer: A. The number is a sample statistic because it is a numerical description of all of the passengers that survived.
Step-by-step explanation:
A population is simply similar items or events that a researcher or an experimenter is interested and wants to carry out an experiment on.
A statistic is simply referred to as the piece of information gotten from the population while a sample statistic is the piece of statistical information which a researcher will be able to get from the statistic.
In this scenario, the number is a sample statistic because it is a numerical description of all of the passengers that survived.
Answer:
Step-by-step explanation:
Given points moves b/w 0.1 of 0.3 marks Hence amplitude is 0.2
Also , frequency (w) = 100 rad/s.
Natural frequency (wn) = √K/m
K = 20 N/mm x 1000mm/1m = 20000N/M
W = 1000mm/1m = 20,000N/M
FormulaX = FolK/1 - (w/wn)²
0.2 = b/20000/1 - (100/50)²
Given forcing frequency was doubled, W1 = 2 x 100=200rad/s
X1 =b/20,000/1 - (200/20)²
0.2/11 = 1 - (200/50)²/1 - (100/50)² = 0.2/11 = -15^5– 3
X1 = 0.04
Answer:
option B
3
Step-by-step explanation:
Given in the question an expression

Whole numbers are positive numbers, including zero, without any decimal or fractional parts.
Possible range of domain will be 1 ≤ x ≤ 48
We know that perfect square between 1 and 48 are
1 , 4 , 16 , 25 , 36
1)
x = 3
√48/3 = √16 = 4
2)
x = 12
√48/12 = √4 = 2
3)
x = 48
√48/48 = √1 = 1
Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ 
⁵P₃ 
⁵P₃ 
⁵P₃ 
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:


