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erik [133]
3 years ago
15

Flip a coin 25 times. Make a tally chart for how many times it lands on heads or tails.

Mathematics
2 answers:
Colt1911 [192]3 years ago
6 0
I flipped a coin and got heads 14 times and tails 11 times, if that helps
abruzzese [7]3 years ago
5 0
I got 11.5 for heads and tails
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Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what i
zheka24 [161]

Answer:

(a) Not a group

(b) Not a group

(c) Abelian group

Step-by-step explanation:

<em>In order for a system <G,*> to be a group, the following must be satisfied </em>

<em> (1) The binary operation is associative, i.e., (a*b)*c = a*(b*c) for all a,b,c in G </em>

<em>(2) There is an identity element, i.e., there is an element e such that a*e = e*a = a for all a in G </em>

<em> (3) For each a in G, there is an inverse, i.e, another element a' in G such that a*a' = a'*a = e (the identity) </em>

<em> </em>

If in addition the operation * is commutative (a*b = b*a for every a,b in G), then the group is said to be Abelian

(a)  

The system <G,*> is not a group since there are no identity.  

To see this, suppose there is an element e such that  

a*e = a

then  

a-e = a which implies e=0

It is easy to see that 0 cannot be an identity.

For example  

2*0 = 2-0 = 2

Whereas

0*2 = 0-2 = -2

So 2*0 is not equal to 0*2

(b)

The system <G,*> is not a group either.

If A is a matrix 2x2 and the determinant of A det(A)=0, then the inverse of A does not exist.

(c)

The table of the operation G is showed in the attachment.

It is evident that this system is isomorphic under the identity map, to the cyclic group

\mathbb{Z}_{5}

the system formed by the subset of Z, {0,1,2,3,4} with the operation of addition module 5, which is an Abelian cyclic group

We conclude that the system <G,*> is Abelian.

Attachment: Table for the operation * in (c)

4 0
3 years ago
What is the result when the number 43 is decreased by 2.6%?
Darina [25.2K]

Answer:

41.882

Step-by-step explanation:

43 x 2.6% is 1.118, and when you subtract that from 43, you get 41.882.

8 0
2 years ago
Read 2 more answers
Inportant inpotant ;(
kondor19780726 [428]

Answer:

1 option or last option are the best choices sorry if I'm wrong.

3 0
2 years ago
Read 2 more answers
Solve (1/8)^-3a=512^3a
lukranit [14]
Solve (1/8)^-3a = 512^3a
A=0

I took the assignment it’s right.
5 0
3 years ago
Read 2 more answers
The actual proportion of voters who plan to vote for a particular proposition in the next election is 70%, but LaShandra does no
Setler [38]

Answer:

0.0417

Step-by-step explanation:

Given the following;

p = 0.7, n=121

The sampling distribution of sample proportion will be approximately normal with mean

\mu_{\hat{p}}=p=0.7

and standard deviation

\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7\cdot 0.2}{121}}=0.0417

Check attachment for the curve diagram.

4 0
3 years ago
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