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3 years ago

How many bit strings of length 12 contain exactly three "1s"

Mathematics

2 answers:

Inessa [10]3 years ago

4 0

There are $\dbinom{12}3=220$ such strings, provided that the ordering of the bits doesn't matter.

xz_007 [3.2K]3 years ago

4 0

I am not sure of the answer

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A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the

Bogdan [553]

Answer:

c 2 1/2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5

Yuki888 [10]

He needs to drink 3 cups MORE to meet his daily requirement.

Step-by-step explanation:

Here, as given in the question:

The total need for water = half a gallon = 0.5 gallon

1 gallon = 128 oz

So, 0.5 gallon = 128/2 = 64 oz

Now, the capacity of 1 cup = 3.5 oz

The number of cups already drank by the person = 15 cups

So, the total amount of water already taken by him

= 15 cups x Capacity of 1 cup

= 15 x (3.5 oz) = 52.5 oz

So, the amount of water left to be drink by him

= Total Need - Already covered

= 64 oz - 52 . 5 oz = 11.5 oz

Now, as 1 cup = 3.5 oz

So, 11.5 oz has $( \frac{11.5}{3.5} )$ cups = 3.28 cup≈ 3 cups

Hence, he needs to drink 3 cups MORE to meet his daily requirement.

6 0

3 years ago

Find the exact value of the following.

Burka [1]

Answer:

-12.96

Step-by-step explanation:

sorry if thats wrong

4 0

3 years ago

Read 2 more answers

Which real numbers are zeros of the function?

monitta

<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.

6 0

3 years ago

It's 10 3/5 miles from Alsten to Barton and 12 1/2 miles from Barton to Chester. The distance from Alsten to Durbin,via Barton a

Ymorist [56]

10 3/5=10.6

10.6+12.5=23.1
35.0-23.1=11.9

It is 11.9 miles from Chester to Durbin.

4 0

3 years ago