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vladimir1956 [14]
2 years ago
14

COLOR THEME

Mathematics
1 answer:
elena55 [62]2 years ago
7 0
?!?! whaaatt confused lol
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If the area of the circle is 28 in^2,what is the area of the shaded sector with 90 degree angle?
Nutka1998 [239]
That would be 1/4 * 28  = 7 ins^2
7 0
3 years ago
For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inel
adelina 88 [10]

Answer:

Demand is inelastic at p = 9 and therefore revenue will increase with

an increase in price.

Step-by-step explanation:

Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is

E=|\frac{p}{q}\cdot \frac{dq}{dp}  |

  • If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
  • If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
  • If E = 1, we say demand is unitary.

We have the following demand equation D(p)=-\frac{3}{4}p+29; p = 9

Applying the above definition of elasticity of demand we get:

E(p)=\frac{p}{q}\cdot \frac{dq}{dp}

where

  • p = 9
  • q = -\frac{3}{4}p+29
  • \frac{dq}{dp}=\frac{d}{dp}(-\frac{3}{4}p+29)

\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}

Substituting the values

E(9)=\frac{9}{-\frac{3}{4}(9)+29}\cdot -\frac{3}{4}\\\\E(9)=\frac{36}{89}\cdot -\frac{3}{4}\\\\E(9)=-\frac{27}{89}\approx -0.30337

|E(9)|=|\frac{27}{89}| < 1

Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.

6 0
3 years ago
In a batch of 100 parts, 40 are red, 50 are L-shaped and 22 are both red and L-shaped. What is probability that a part picked fr
Bogdan [553]

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Step-by-step explanation:

Let us revise some rules of probability

The addition rules are:

  • P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen  at the same time)
  • P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they  have at least one outcome in common)

∵ A batch has 100 parts

∵ 40 are red

- Probability of an event is the [even occurs/total outcomes]

∴ P(red) = \frac{40}{100}=0.4

∵ 50 are L-shaped

∴ P(L-shaped) = \frac{50}{100}=0.5

∵ 22 are both red and L-shaped

∴ P(red and L-shaped) = \frac{22}{100}=0.22

This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule

∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)

∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22

∴ P(red or L-shaped) = 0.68

The probability that a part picked from this batch at random is either red or L-shaped is 0.68

Learn more:

You can learn more about the probability in brainly.com/question/2254182

#LearnwithBrainly

3 0
2 years ago
WHAT IS -(-2z+5y) HELP MY HOMEWORK IS DUE IN 50 MINUTES PLEASE
vampirchik [111]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{2z - 5y}}}}}

Step-by-step explanation:

\sf{ - ( - 2z + 5y)}

Distribute negative ( - ) sign through the parentheses

\sf{( - ) \times ( - 2z)  + ( - ) \times (5y)}

\dashrightarrow{ \sf{2z   + ( - 5y)}}

\dashrightarrow{ \sf{2z - 5y}}

Hope I helped!

Best regards! :D

7 0
3 years ago
The area of trapezoid AEDB is 300 square centimeters. Triangle EDC has a height of 20 cm and a base of 10 cm. What is the area o
Ksenya-84 [330]
Using base x height you get 100 square centimeters
4 0
2 years ago
Read 2 more answers
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