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3 years ago

Using the Associative Property which expression is equivalent to (2+x)+4=

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

x+6

Step-by-step explanation:

The given expression is (2+x)+4.

The associative property is :

(a+b)+c= a+(b+c)

Here,

a = 2, b = x and c = 4

So,

(2+x)+4 = 2+(x+4)

= x+6

So, the equivalent expression is x+6.

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The table below shows the number of cups of coffee people drink a day

Effectus [21]

The mean of a distribution is the sum of the data elements divided by the count of the dataset.

The mean of the distribution is 4

The complete table is given as

$\left[\begin{array}{cc}People & Frequency &0 - 2 & 5 & 3 - 5 & 25 & 6 - 8 & 5\end{array}\right]$

The complete question requires that, we calculate the mean of the dataset

First, we calculate the class midpoint

This is the average of the class interval

For interval 0 - 2,

$x_1 = \frac{0 + 2}{2} = 1$

For interval 3 - 5,

$x_2 = \frac{3 + 5}{2} = 4$

For interval 6 - 8

$x_3 = \frac{6 + 8}{2} = 7$

So, the table becomes

$\left[\begin{array}{ccc}People & x & Frequency &0 - 2 &1 & 5 & 3 - 5 & 4& 25 & 6 - 8& 7 & 5\end{array}\right]$

The mean is then calculated as:

$\bar x = \frac{\sum fx}{\sum f }$

This gives

$\bar x = \frac{5 \times 1 + 25 \times 4 + 5 \times 7}{5 + 25 + 5}$

$\bar x = \frac{140}{35}$

$\bar x = 4$

Hence, the mean of the distribution is 4

Read more about mean at:

brainly.com/question/17060266

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Answer:

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