**Answer:**

**Step-by-step explanation:**

The mean of a set is the sum of the value divided by the number of values.

And the median is the middle number.

First, let’s find the mean. We will have the sum of:

And this will be divided by 3, the number of elements. Hence, the mean is:

This is equivalent to the median, in this case x.

Therefore, our equation is equal to x:

Solve for x. Multiply both sides by 3:

Subtract x from both sides:

Divide both sides by 2:

Hence, the value of x is 14.

For a translation 4 units down you would subtract 4 from each y value and 5 units right you would add 5 to each x value.

Your resulting points would be.

A'(-1,1), B'(-1,-2), C'(3,-2), D'(3,2)

**Answer:**

5ab - 8a - 5b - 8

**Step-by-step explanation:**

each of these can be divided by 5

<u>**Answer:**</u>

- The answer to this question is '2³ × 3²'.

<u>**Step-by-step explanation:**</u>

<u><em>Further simplification:</em></u>

<u><em>Further simplification</em></u>

<u><em>Multiplication:</em></u>

Hence, <u>**the answer to this question is '2³ × 3²'**</u>. If you want the further simplified answer, <u>**it is 72.**</u>

Hoped this helped.

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.