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3 years ago

The line symmetry is closely related to which transformation

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

Is there supposed to be a picture? I dont see one.

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There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

7 0

3 years ago

How to Write 3/9 in simplest form.

White raven [17]

To write it in simplest form, you must find a common factor.

In $\frac{3}{9}$ , 3 is a factor of both 3 and 9

3÷3=1 and 9÷3=3

So $\frac{3}{9} = \frac{1}{3}$

$\frac{1}{3}$ is your answer in simplest form.

3 0

2 years ago

How do you know where to place the decimal point in the quotient when dividing decimals by a whole number

kvasek [131]

Always when division with fractions, always move the decimal to the left.

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2 years ago

I need help with all math basically

WITCHER [35]

Doesn't everyone? lol what can I help you with?

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3 years ago