**Answer:**

**4 = 30**

**7 = 42**

**8 = 48**

**10 = 60**

**Step-by-step explanation:**

The first thing you'll want to do is find the price for 1 foot of fencing.

18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!

It gonna equal a diffrene number if u mutiply the number by 5 or you can divide it.

**Step-by-step explanation:**

LHS = Left Hand Side ; RHS = Right Hand Side

a) RHS = 1/ tan x

= 1/ (Sin x/Cos x)

= Cos x/Sin x

= LHS

b) LHS = Sin^2 x / tan^2 x

= Sin^2 x / (Sin^2 x/Cos^2 x)

=( Sin^2 x * Cos^2 x) / (Sin^2 x)

= Cos^2 x

= 1 - Sin^2 x (Because sin^2 x + cos^2 x = 1)

= RHS

c) RHS = Sin^3 x / tan x + Cos^3 x

= Sin^3 x / (Sinx/Cosx) + Cos^3 x

= (Sin^3 x * Cos x)/Sin x + Cos^3 x

= Sin^2 x * Cos x + Cos^3 x

= Cos x (Sin^2 x + Cos^2 x)

= Cos x *(1) {Because, Sin^2 x + Cos^2 x = 1}

= Cos x

= LHS

Using the **t-distribution**, it is found that the test statistic for the hypotheses test is given by:

<h3>What are the hypotheses tested?</h3>

At the **null **hypotheses, it i tested if the mean difference remains the same, that is:

At the **alternative **hypotheses, it is tested if it has decreased, hence:

.

<h3>What is the test statistic?</h3>

The** test statistic** is given by:

The **parameters **are:

- is the sample mean.

- is the value tested at the null hypothesis.

**s** is the standard deviation of the sample.

The **parameters **are given as follows:

.

Hence the **test statistic** is given by:

More can be learned about the **t-distribution** at brainly.com/question/16162795

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