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2 years ago

Please help

Mathematics

1 answer:

nikitadnepr [17]2 years ago

8 0

Answer:

The value of x is $\frac{-2}{5}$ .

Step-by-step explanation:

Given expression is:

$\frac{2}{3}(x-2)=4x$

We have to solve this for x.

First we will multiply both sides of the equation by 3

$3*\frac{2}{3}(x-2)=4x*3$

2(x-2) = 12x

2x-4=12x

Now we will be subtracting 2x from both sides of the equation

2x-2x-4=12x-2x

-4=10x

10x=-4

Dividing both sides by 10

$\frac{10x}{10}=\frac{-4}{10}\\\\x=\frac{-2}{5}$

Hence,

The value of x is $\frac{-2}{5}$ .

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2 years ago

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Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

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From the above question,

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3 years ago

8. The Last Supper

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The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

Chris can only take 1 seat (i.e. the central seat)
Jo can take 2 seats (i.e. the seats adjacent the central seat)
Alex, Barb and Dave can take 3! number of seats
Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

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Evaluate the product

$n = 1728$

Hence, there are 1728 possible sitting arrangements