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3 years ago

Luke says you can always add and always multiply to join groups. Is he correct?

Mathematics

2 answers:

sergeinik [125]3 years ago

7 0

Suppose G is a finite group having elements natural numbers.

→→→ If you add any two members of the group, you will get member of the group,because a group satisfy closure property with respect to addition.

For example, 2 ∈N,3∈N→2+3=5∈N

→→Similarly, if you multiply any two members of the group, you will get member of the group,because a group satisfy closure property with respect to multiplication.

For example,: 2 ∈N,3∈N→2×3=6∈N

Yes, He is Correct.

dezoksy [38]3 years ago

5 0

Yes, because only equal groups can be multiplied

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What’s the probability of getting each card out of a deck?

VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0

3 years ago

Midpoints B is the midpoint of AC , find x.

PolarNik [594]

B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

4 0

3 years ago

Read 2 more answers

The graph of a proportional relationship contains the point (20, 4).

soldier1979 [14.2K]

Answer:

$y=\frac{1}{5}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$point (20,4)$

Substitute the values and solve for k

$k=y/x$

$k=\frac{4}{20} =\frac{1}{5}$

therefore

the equation of the line is equal to

$y=\frac{1}{5}x$

6 0

3 years ago

Read 2 more answers

If a car makes a trip of 422 miles in 8 hours, what is its average speed per hour?

borishaifa [10]

Answer:

52.75 miles per hour (MPH)

Step-by-step explanation:

422÷8 is equal to 52.75

5 0

2 years ago

Paulo catches a 7.45 am tram to school. During a period of 79 days, he arrives at school on time 53 occasions. Estimate the prob

lawyer [7]

Answer:

On time: 0.67

Late: 0.33

Step-by-step explanation:

Probabilities

One approach to estimating the probability of occurrence of an event is to record the number of times that event happens (e) and compare it with the total number of trials (n).

The probability can be estimated with the formula:

$\displaystyle P=\frac{e}{n}$

And the probability that the event doesn't occur is

Q = 1 - P

Paulo arrives on time to school e=53 times out of n=79 times. The probability that he arrives on time is:

$\displaystyle P=\frac{53}{79}$

P = 0.67

And the probability he arrives late is:

Q = 1 - 0.67 = 0.33

4 0

3 years ago