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2 years ago

Why Do Airlines Think They Show the Best Movies?

Mathematics

1 answer:

MAXImum [283]2 years ago

7 0

Answer:

1. Rhombus

2. Square

Step-by-step explanation:

1. A rhombus is a quadrilateral whose four sides all have the same length and opposite sides are parallel.

From the diagram, you can see that $\overline{AB}\parallel \overline{CD},\ \overline{AD}\parallel \overline{BC}$ (given) and all four sides are congruent, thus this shape is a rhombus.

2. A square is a quadrilateral which has four equal sides, four equal angles (90-degree angles) and opposite sides are parallel.

From the diagram, you can see that $\overline{EF}\parallel \overline{GH},\ \overline{EH}\parallel \overline{FG}$ (given), all four sides are congruent, and all four angles are right angles, thus this shape is a square.

You might be interested in

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that $n = 2161, \pi = \frac{1214}{2161} = 0.5618$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}$

$M = 0.0209$

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0

3 years ago

Please answer the question in the photo:

Vika [28.1K]

Answer:

$\fbox{8x+36}$

Step-by-step explanation:

1. Use the distributive property to write the problem without parentheses. The distributive property says that you can multiply a number next to parentheses by all the numbers inside parentheses. The picture below explains.

$4(2x+9)=\\\\(4*2x)+(4*9)=\\\\4(2x+9)= 8x+36$