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zhuklara [117]
2 years ago
15

Ethan enjoys buying books and going to the movies. He has income of $150 to spend on these two goods each month. The price of a

book is $15 and the price of going to the movies is also $15. He currently consumes four books and six movies a month. If the price of a book increases to $20, then:
Mathematics
1 answer:
erica [24]2 years ago
5 0

Answer: A

Step-by-step explanation:

A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.

B.) the substitution and income effects would both predict Ethan would consume less of both goods.

C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.

D.) the substitution and income effects would both predict Ethan would consume more of both goods.

If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.

A global efect of a certain good (X) price rise can be divided into 2 efects:

  • substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
  • income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.

So, answer is A.

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A meteorologist in denver recorded y = the number of days of rain during a 30-day period. does y have a binomial distribution? i
olga_2 [115]

Solution: Yes, the random variable y will have a binomial distribution. Because there are two possible outcomes 1. number of days of rain and 2. number of days of no rain.

The parameters of binomial distribution are n and p

The parameter n is given as the number of day's under consideration.

\therefore n=30

The parameter p is not given, but it can be estimated by number of days it rained divided by the total number of days under consideration.

\therefore p=\frac{y}{n} =\frac{y}{30}


3 0
2 years ago
The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters).
valentina_108 [34]

Answer:

The dimensions that result in the maximum area are therefore;

Width = 3.5

Height = 3.5

Step-by-step explanation:

The given parameters are;

The area of the rectangle, y = x × h

Where;

x = The width of the rectangle

h = The height of the rectangle

By examination, we have;

x + h = 7

Therefore, x = 7 - h

Which gives;

y = x × (x - 7) = x² - 7·x

y = x² - 7·x

At x = 0, y = 0

At x = 7, y = 0

However, at x = 1, y = -6

Therefore, the function should be, y = -(x² - 7·x)

The maximum occurs where dy/dx = 0, which gives;

dy/dx = d-(x² - 7·x)/dx = 0

dy/dx = 2·x - 7 = 0

2·x - 7 = 0

x = 7/2 = 3.5

On second derivative, we have;

d²y/dx² = 2, which gives a local minimum

x = 3.5 at maximum height

Which give, the maximum height, y_{max} = -(x² - 7·x) at x = 3.5

∴ y_{max} = -(3.5² - 7×3.5) = 12.25

The maximum height = 12.25

The dimensions that result in the maximum area are therefore;

Width, x = 3.5

Height, h = 7 - x = 7 - 3.5 = 3.5

Height, h = 3.5.

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2 years ago
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1 year ago
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The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
andrezito [222]

Answer:

<u><em>Relative frequencies</em></u>

                  Growth mind set                 fixed mind set             Total

Attendance

every practice              0.7                            0.3                      1

missed at-least

one practice                  0.1344                     0.8656                  1                              

<u>Step-by-step explanation:</u>

                         Growth mind set                 fixed mind set                   total

Attendance

every practice              28                           12                                         40

missed at-least

one practice                  9                              58                                      67

<u><em>Relative frequencies</em></u>

                  Growth mind set                 fixed mind set                   Total

Attendance

every practice              \frac{28}{40} = 0.7                  \frac{12}{40} = 0.3                          1

missed at-least

one practice                  \frac{9}{67} = 0.1344               \frac{58}{67} = 0.8656                  1                              

<u><em>Final answer</em></u>:-

<u><em>Relative frequencies</em></u>

                  Growth mind set                 fixed mind set             Total

Attendance

every practice              0.7                            0.3                      1

missed at-least

one practice                  0.1344                     0.8656                  1  

5 0
1 year ago
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