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2 years ago

The probability distribution for a

Mathematics

1 answer:

romanna [79]2 years ago

7 0

What am I supposed to be solving for??

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1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

3 years ago

Suzannah made 7 bows. How many feet of ribbon did she use?

ella [17]

Answer:

420

Step-by-step explanation:

5 0

3 years ago

Eli made 2 peanut butter and jelly sandwiches and cut each one into fourths. How many 1/4 sandwich pieces did Eli have?

max2010maxim [7]

If Eli cut both pieces into 4th's, in all they would have 8 4th's.

Because 4 + 4 + 8 :)

6 0

3 years ago

Evaluate 7!.<br> Ο 120<br> Ο 5,040<br> Ο 40,320

timurjin [86]

Answer:

5040 is the answer of it

6 0

3 years ago

6 3/5-2 4/5=?<br> Show how you got the answer

Viktor [21]

Hello there,

Okay so the question is asking us to subtract the two mixed numbers, 6 3/5 - 2 4/5, from each other...

The first step would be to change the mixed numbers to improper fractions:

6 3/5 as improper fraction would be 33/5
2 4/5 as improper fraction would be 14/5

Now we need to make sure that the denominators are the same and in this case they are.

Simply subtract 14 from 33 and you would get 19 and the denominator stays the same so you would get 19/5.

Now turn 19/5 into a mixed number and you would get 3 4/5

The answer to the 6 3/5 - 2 4/5 would be 3 4/5.

Hope I helped,

Amna

7 0

2 years ago