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Mrac [35]
2 years ago
10

Sage has 3 strip-mats, 3 mats, and 2 units. Tristan has 2 mats, 8 strips, and 5 units. Andre had twice as many strip-mats, mats,

and units as Sage. How many units is that in all? show your work.​
Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

The question is an illustration of equivalent equations.

<em>There are 11 units in all</em>

The given parameters are:

<u>Sage</u>

\mathbf{Strip-mat = 3}

\mathbf{Mat = 3}

\mathbf{Units = 2}

<u>Tristan</u>

\mathbf{Strip-mat = 8}

\mathbf{Mat = 2}

\mathbf{Units = 5}

Andre has twice of what Sage has

So, the total unit is:

\mathbf{Total = Sage + Tristan + Andre}

<em>Sage has 2 units</em>

<em>Tristan has 5 units</em>

<em />

Because, Andre has twice of what <em>Sage has,</em>

Andre's number of units would be 4

So, we have:

\mathbf{Total = 2 +5 + 4}

\mathbf{Total = 11}

Hence, there are 11 units in all

Read more about equivalent equations at:

brainly.com/question/18720297

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Given right triangle jkl, what is the value of cos(l)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths
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The value of the cosine ratio cos(L) is 5/13

<h3>How to determine the cosine ratio?</h3>

The complete question is added as an attachment


Start by calculating the hypotenuse (h) using

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Evaluate the exponent

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The cosine ratio is then calculated as:

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This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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Required information Skip to question NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to re
pogonyaev

The result for the given 14 length bit string is-

(a) The bit strings of length 14 which have exactly three 0s is 2184.

(b) The bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The bit strings of length 14 which have at least three 1s is 4472832.

<h3>What is a bit strings?</h3>

A bit-string would be a binary digit sequence (bits). The size of the value is the amount of bits contained in the sequence.

A null string is a bit-string with no length.

The concept used here is permutation;

ⁿPₓ = n!/(n-x)!

Where, n is the total samples.

x is the selected samples.

(a) Because there are exactly three 0s, its other digits have always been one, hence the total of permutations is equal to;

n = 14 and x = 3 digits.

¹⁴P₃ = 14!/(14-3)!

¹⁴P₃ = 2184.

Thus, the bit strings of length 14 which have exactly three 0s is 2184.

(b) Because it is a bit string with 14 digits and it can only have digits 0 or 1, we must choose 7 0s and the remaining 7 1s, hence the number possible permutations is equal to;

n = 14 and x = 7 digits.

¹⁴P₇ = 14!/(14-7)!

¹⁴P₇ = 17297280.

Thus, the bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The answer is identical to problem a, but the rest of a digits could be either 0 or 1, hence it must be doubled by 2¹¹ because there are 11 digits, each of which can be one of two options;

= 2184×2¹¹

= 4472832

Thus, he bit strings of length 14 which have at least three 1s is 4472832.

To know more about permutation, here

brainly.com/question/12468032

#SPJ4

The correct question is-

How many bit strings of length 14 have:

(a) Exactly three 0s?

(b) The same number of 0s as 1s?

(d) At least three 1s?

3 0
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