All categories

3 years ago

Which operations is the following set closed under: {2, 4, 6, ....}?

Mathematics

2 answers:

diamong [38]3 years ago

5 0

Multiplication
Hope that helps :)

GREYUIT [131]3 years ago

4 0

Answer: The answer is addition and multiplication.

Step-by-step explanation: Closure property states that - for any numbers 'a' and 'b' belonging to a set A, if a*b also belongs to set A, then set A is said to be closed under the operation *.

The given set is X={2, 4, 6, . . .}. Let us check for the mathematical operations one by one.

(i) Addition: The addition of two even numbers is again an even number, so the given set is closed under addition. For example - 2+4=6, 4+6=10, etc.

(ii) Subtraction: The subtraction of two even numbers is either 0, an even number or a negative even number. So, X is not closed under subtraction. For example- 2-2=0, 4-2=2, 4-8=-4, etc.

(iii) Multiplication: The multiplication of two even numbers is again an even number. So, the set X is closed under multiplication. For example- 2×4=8, 6×4=24, etc.

(iv) Division: The division of two even numbers may or may not be an even number. So, X is not closed under division. For ex- 2/6=1/3, 6/8=3/4, etc.

Thus, the given set is closed under addition and multiplication.

You might be interested in

an urn containing n balls can be represented by the set u = {b1, b2, ... , bn}. interpret the following algorithm in the context

kati45 [8]

The algorithm prints out all the possible ways to draw 3 balls in sequence, ---Select--- with replacement. It prints lines.

5 0

3 years ago

Approximately 12.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists Ratkowsky and Martin

bagirrra123 [75]

Answer:

Step-by-step explanation:

Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.

a) P(X = n) = q(n-1)p, where q = 1 - p.

From the information given, probability if success, p = 12.6/100 = 0.126

b) for n = 3, the probability value from the geometric probability distribution calculator is

P(n = 3) = 0.096

For n = 5, the probability value from the geometric probability distribution calculator is

P(n = 5) = 0.074

For n = 12, the probability value from the geometric probability distribution calculator is

P(n = 12) = 0.8

c) For n ≥ 5, the probability value from the geometric probability distribution calculator is

P(n ≥ 5) = 0.58

d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.

Mean = 1/p

Mean = 1/0.126 = 7.9

Approximately 8 apples

7 0

3 years ago

DUE NOW PLEASE HELP ME

NISA [10]

Answer:

Step-by-step explanation: 16.990107955403875

•Rectangular prism - Multiply the measurement of the length times the width, then times the height

•Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³

•Prism - Find the area of the base, then multiply the area times the height of the prism. Area would be length times width (B), or B x h

•Triangular prism - Find the area of the base (b), then multiply the area times the length (l) between the triangular bases. Area of the base would be ½ times the base times the height (h) of the triangle, or ½bhl

•Cylinder - Find the area of the circular face using pi times the radius squared, then multiply that area times the height of the cylinder, so πr²h

•Pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3Bh

•Square pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3s²h

•Rectangular pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3 lwh

•Sphere - For a sphere, multiply 4/3 times pi, then time the radius cubed, or 4/3 πr³

6 0

3 years ago

Marshall deposited $3,300 in a savings account with simple interest. Six months later, the account held $3,415.50. What was the

Naya [18.7K]

the simple interest is granted by the end of the year probably.If in 1/2 a year he gathered $115.50 then

115.50=3.300×r/2

r=231/3300

r=7%

4 0

3 years ago

8/x = 32 ..................

krok68 [10]

Answer:

Step-by-step explanation:

x= 1/4

6 0

3 years ago