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svet-max [94.6K]
4 years ago
9

Help me pleaseeeeeeeeeee

Mathematics
2 answers:
liq [111]4 years ago
6 0
7x= -42
X= -6

6y= -42
Y= -7
Gnom [1K]4 years ago
5 0
7x + 6y = -42
 For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
 We have then:
 For the x axis: 
 y = 0
 Substituting in the equation:
 7x + 6 (0) = - 42
 7x + 0 = -42
 x = -6
 For the y axis:
 x = 0
 Substituting in the equation:
 7 (0) + 6y = -42
 0 + 6y = -42
 y = -42 / 6
 y = -7
 We graph the ordered pairs:
 (x1, y1) = (- 6, 0)
 (x2, y2) = (0, -7)
 Answer:
 See attached graph.

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If a = 2^3 x 3^7 x 5^3 x 11^4 and b = 2^2 x 3^9 x 7^2 x 11 x 13, find the following: A. GCF (a, b) B. LCM (a, b)
timofeeve [1]

Answer:

A. GCF(a,b) = 2^2 \times 3^7 \times 11

B. LCM(a,b) = 2^3 \times 3^9 \times 5^3 \times 7^2 \times 11^4 \times 13

Step-by-step explanation:

The GCF of two or more integers is their greatest common factor. In order to find it, you must factorise them first and then do the product of the factors that appear in all the factorisations, with their least exponent.

Hence, the GCF of a and b is 2^2 \times 3^7 \times 11.

The LCM of two or more integers is their least common multiple. In order to find it, you must factorise them first and then do the product of the multiples that appear in one or all the factorisations, with their greatest exponent.

Hence, the LCM of a and b is  2^3 \times 3^9 \times 5^3 \times 7^2 \times 11^4 \times 13

6 0
4 years ago
The statement some dogs are brown has 16 letters. Choose one of these 16 letters uniformly at random (i.e., with equal probabili
andre [41]

Answer:

Rx = {5,4,3}

The probability mass function can be formulated like this:

Px (3) = p (X = 3) = 3/16

Px (4) = p (X = 4) = 8/16

Px (5) = p (X = 5) = 5/16

Step-by-step explanation:

We have that the probability of choosing a letter (1) at random from the sentence would be 1/16.

We must first finish the length of each word:

some = 4 letters

dogs = 4 letters

are = 3 letters

brown = 5 letters

Therefore, the possible values, that is, the range would be:

Rx = {5,4,3}

since the range has finite set, then the random variable X is discrete random variable

now to find the probability mass function of X and it can be defined as:

Px (X) = P (X = x); where x = 3, 4, 5

Px (3) = p (X = 3)

It will be equal sum of probalities of all the letters that can form the three letter word "are" by letters A, R, E

Probability of getting length 3 when a letter is drawm from the some dogs are brown:

1/16 + 1/16 + 1/16 = 3/16

Px (4) = p (X = 4)

It will be equal sum of probalities of all the letters that can form the four letter word "some" and "dogs" by letters S, O, M, E, D, O, G, S

Probability of getting length 4 when a letter is drawm from the some dogs are brown:

1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 +1/16 + 1/16 = 8/16

Px (5) = p (X = 5)

It will be equal sum of probalities of all the letters that can form the five letter word "brown" by letters B, R, O, W, N

Probability of getting length 5 when a letter is drawm from the some dogs are brown:

1/16 + 1/16 + 1/16 + 1/16 + 1/16 = 5/16

X             3             4              5

p(X)       3/16        8/16          5/16

4 0
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melisa1 [442]

Answer:

1/3.

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So:

Prob(Drawing a white then a red marble) = 2/3 * 1/2

= 2/6

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