Based on the sample results, about what proportion of the population has a favorite social network?

Mathematics

2 answers:

svet-max [94.6K]3 years ago

7 0

Answer:

about 0.24

Step-by-step explanation:

Cerrena [4.2K]3 years ago

3 0

Answer:

the real answer is about 0.80

Step-by-step explanation:

so it is asking you about what proportion of the population has a favorite social network, and you see that there is a category that is a no favorite and site A B and C are the sites that are favorites. You add <em>0.24 + 0.30 + 0.26</em> and you get 0.80. And that is how you get 0.80

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

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Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be: