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3 years ago

Sophia used the Order of Operations to simplify 4(5 - 2) to 4x3.

Mathematics

1 answer:

Alchen [17]3 years ago

5 0

Answer:

Step-by-step explanation:

<u>Order of operations, use the operation within the parenthesis:</u>

1) 5 - 2 = 3
2) 4*3 = 12

<u>Distributive property, a(b + c) = ab + ac:</u>

1) 4*5 - 4*2 = 20 - 8
2) 20 - 8 = 12

Both ways are correct and lead to same result

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Five standard six-sided dice are rolled. We are told there is no three-of-a-kind, but there is a pair of dice that show the same

Neko [114]

The probability that after re-rolling these three dice, at least three of the five dice show the same value is $\frac{4}{9}$

Of the three dice rolled, one may match the original pair and two are different, and this can occur three ways:

$(\frac16 \times \frac56 \times \frac56 ) + ( \frac56 \times \frac16 \times \frac56 ) + ( \frac56 \times \frac 56 \times \frac 16 ) = \frac {75}{216}$

[ where $\frac{1}{6}$ is the probability of matching the first two and $\frac{5}{6}$ is the probability of not matching the first two ]

Or, two may match the original pair and one is different

$( \frac16 \times \frac16 \times \frac 56 ) + ( \frac16 \times \frac56 \times \frac 16 ) + ( \frac56 \times \frac16 \times \frac16 ) = \frac {15}{216}$

Or, all three may match the original pair

$( \frac 16 \times \frac 16 \times \frac 16 ) = \frac {1}{216}$

Or, all three may be the same, but not match the original pair:

$( \frac 56 \times \frac 16 \times\frac 16 ) = \frac {5}{216}$

[ where $\frac{5}{6}$ is the probability of getting a new number and $\frac{1}{6}$ is the probability of matching that new number ]

Adding these together: $\frac {75}{216} + \frac {15}{216} + \frac 1{216} + \frac 5{216} = \frac {96}{216} = \frac 49$

To learn more about probability with the given link

brainly.com/question/11234923

#SPJ4

3 0

2 years ago

What's the sum of 5 feet 9 inches in 12 ft and 3 in

galben [10]

First convert everything into inches.

1 foot = 12 in
5 feet = 5*12 = 60 in
12 feet = 12*12 = 144 in

Now add them together

60 + 9 + 144 + 3 = 216 in

or

18 feet

Hope this helps :)

4 0

3 years ago

Help me solve this problem please

Anton [14]

Answer:

y=-5x thats it so ype it in ir whatevet

4 0

3 years ago

Read 2 more answers

Tom needs to rent tables for his family reunion. There will be 105 people attending. Each table seats 8

Mnenie [13.5K]

Hey buddy
He needs to rent 14 tables
Hope it helps :)