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1 year ago

Solve the following: 6(2x+3)-3(x-2)=6

Mathematics

2 answers:

nikklg [1K]1 year ago

5 0

Answer:

12x +18 - 3x + 6 = 6

9x + 24 = 6 / -24 from both sides

9x = - 18 / divide both sides by 9

x = -2

i hope this helps

REY [17]1 year ago

4 0

The value of x is -2

Step-by-step explanation:

Given that

6 (2x + 3) - 3(x - 2) = 6

Expand the bracket

6 (2x + 3) - 3(x - 2) = 6

12x + 18 - 3x + 6 = 6

Collect like terms

12x - 3x = 6 - 6 - 18

9x = -18

Divide through by 9

9x / 9 = -18 / 9

x = -2

Therefore, the value of x is -2

Learn more about inequality here : brainly.com/question/20252161

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At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

2 years ago

250 divided by 10 squared equals?

navik [9.2K]

250 divided by 10 squared is 2.5

4 0

2 years ago

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Y_Kistochka [10]

Answer:

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2 years ago

PLEASE HELP:

wlad13 [49]

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4 0

3 years ago

8. Write the equation of a line that is perpendicular to the given line and that passes through the

avanturin [10]

Y - 3 = 8/3(x + 2)...the slope here is 8/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/8

y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)....x1 = -2 and y1 = 3
now we sub
y - 3 = - 3/8(x - (-2)...not done yet
y - 3 = -3/8(x + 2) <===

8 0

2 years ago