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Ronch [10]
3 years ago
9

What property or properties prove (2x)(3y)(4z)=24xyz

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

Associative property of multiplication

Step-by-step explanation:

The associative property of multiplication.

The associative property says that the way in which factors are grouped in a multiplication problem does not change the product.

Lets solve the given expression.

(2x)(3y)(4z)=24xyz

According to associative property of multiplication you can write it as 2x(3y*4z)=(2x*3y)4z

Both the sides will give the same answer regardless of their order.

2x(12yz) =(6xy)4z

24xyz = 24xyz

Thus the answer is associative property of multiplication....

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maria [59]
With replacement, each draw has a probability of
9 pink out of 18 total number of chips.

Therefore, by the multiplication rule, the probability of having both draws picking a pink is 
P(pink,pink) = (9/18)*(9/18) = 81/324   [ = 1/4 ]
or
P(pink,pink) = \frac{9}{18}*\frac{9}{18}=\frac{81}{324}



4 0
4 years ago
A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.
scZoUnD [109]

Answer:

Probability of getting doubles = 1/4

Step-by-step explanation:

Given - A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.

To find - Using a sample space diagram, find the probability of getting a double.

Proof -

Given that,

A four-sided spinner is spin twice.

So,

The Sample Space becomes

S = { (1, 1), (1, 2), (1, 3), (1, 4)

       (2, 1), (2, 2), (2, 3), (2, 4)

       (3, 1), (3, 2), (3, 3), (3, 4)

       (4, 1), (4, 2), (4, 3), (4, 4) }

So,

n(S) = 16

Now,

Let A is the event Getting a double, So,

A = { (1, 1), (2, 2), (3, 3), (4, 4) }

and

n(A) = 4

So,

The Probability of getting doubles = n(A) ÷ n(S)

                                                         = 4 ÷ 16

                                                         = 1/4

∴ we get

Probability of getting doubles = 1/4

6 0
3 years ago
For these questions find the probability of drawing the given cards at random from a standard 52-card deck under each condition:
never [62]

Answer:

2

a) 6.37%

b) 6.25%

3

a) 0.60 %

b) 0.59 %

Step-by-step explanation:

2 )

a) With replacement

Probability of extracting a club is 13/52

Probability of extracting a spade is 13/51

13/52 * 13/51

= 6.37 %

b) Without replacement

13/52 * 13/52

= 6.25 %

3) With replacement

Probability of extracting a ace is 4/52

Probability of extracting a queen is 4/51

4/52 * 4/51

= 0.60 %

b) Without replacement

4/52 * 4/52

= 0.59 %

5 0
3 years ago
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