3. Select all the expressions that are equivalent to

Nady [450]

First off, let's convert 0.25 to a fraction, notice, it has two decimals, therefore, we'll use two zeros on the denominator, two decimals, two zeros, thus,

$\bf 0.\underline{25}\implies \cfrac{025}{1\underline{00}}\implies \cfrac{25}{100}\\\\
-------------------------------\\\\
\sqrt{0.25}\implies \sqrt{\cfrac{25}{100}}\implies \sqrt{\cfrac{5^2}{10^2}}\implies \cfrac{5}{10}\implies \cfrac{1}{2}$

5 0

3 years ago

The data below represent a demand schedule.

ser-zykov [4K]

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

5.50
2.25
1.17
0.63

<h3>What is the price elasticity of demand?</h3>

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: brainly.com/question/24384825

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3 0

2 years ago

Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, a

RUDIKE [14]

Answer:

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Step-by-step explanation:

A. m<1 + m<2 + m<3 + m<4 = 360

Incorrect in terms of the proof

B. The sum of the measures of angles of a triangle is 180°

Not relevant

C. The measure of all right is 90°

Not relevant

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Correct

8 0

3 years ago

What is the length of DC

jasenka [17]

Answer:

Need more information

Step-by-step explanation:

4 0

3 years ago

The inside diameter of a randomly selected piston ring is a random variable with mean value 14 cm and standard deviation 0.05 cm

Veronika [31]

Answer:

a) 0.5762

b) 0.1587

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 14 cm

Standard Deviation, σ = 0.05 cm

We are given that the distribution of diameter is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(13.99 ≤ X ≤ 14.01 when n = 16)

Standard error due to sampling =

$=\dfrac{\sigma}{\sqt{n}} = \dfrac{0.05}{\sqrt{16}} = 0.0125$

$P(13.99 \leq x \leq 14.01) = P(\displaystyle\frac{13.99 - 14}{0.0125} \leq z \leq \displaystyle\frac{14.01-14}{0.0125}) = P(-0.8 \leq z \leq 0.8)\\\\= P(z \leq 0.8) - P(z < -0.8)\\= 0.7881 - 0.2119 = 0.5762$