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What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

lakkis [162]

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

5 0

3 years ago

Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. Sixty-fi

Levart [38]

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.

8 0

3 years ago

The pointer of the vibration measuring instrument is observed to move between the 0.1 and0.3 marks on the vertical scale, when s

Norma-Jean [14]

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

8 0

3 years ago

HELPPPPPPPPP i have the most trouble with math what’s the answer??

kiruha [24]

Answer:

option B

3

Step-by-step explanation:

Given in the question an expression

$\sqrt\frac{48}{x}$

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

4 0

3 years ago

The digits 4 comma 5 comma 6 comma 7 comma and 8 are randomly arranged to form a three-digit number. (Digits are not repeate

fenix001 [56]

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 $= \frac{a!}{(a-n)!}$

⁵P₃ $= \frac{5!}{(5-3)!}$

⁵P₃ $= \frac{5!}{2!}$

⁵P₃ $= \frac{5*4*3*2*1}{2*1}$

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:

$P=\frac{ favorable outcomes}{equally likely possible outcomes}$

$P=\frac{6}{60}$

$P=\frac{1}{10}$

3 0

3 years ago