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3 years ago

Which improper fraction is equal to the mixed number 3 3/8?

Mathematics

1 answer:

ankoles [38]3 years ago

8 0

33/8 is one answer !!

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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

Multiply: (4x – 7)(2x – 9)

harina [27]

Hello there!

Let's use foil.

First: 4x * 2x = 8x^2

Outside: 4x * -9 = -36x

Inside: -7 * 2x = -14x

Last: -7 * -9 = 63

Now, let's combine these.

8x^2 - 36x - 14x + 63

Finally, we can simplify this

8x - 50x + 63

I hope I helped!

Let me know if you need anything else!

~ Zoe

4 0

4 years ago

Read 2 more answers

The valoe of these seven in 27,459 is how many times value of the 7 in 40,735

umka2103 [35]

27,459 --- 7,000

40,735 --- 700

7,000÷700 =10 times greater

6 0

3 years ago

Find the y-intercept of the line on the graph.<br> Enter the correct answer.

bonufazy [111]

Answer:

y-int is -4 or (0,-4)

Step-by-step explanation:

That is the point where the line crosses the y-axis

4 0

3 years ago

3x^2yz^3-9x^3y^2z^2+12x^2y^3z^2

PolarNik [594]

3×2=692047 82837=284749×2484r133.e9274

6 0

3 years ago