Answer:
The next time Mahnoor visits the restaurant, there is:
--31 % chance for country music
--47% chance of rock & roll
--22% chance of blues
Completed question;
Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country 11 times, rock & roll 17 times, and blues 8 times. Use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time Mahnoor walks in.
Step-by-step explanation:
Given;
The number of times they were playing each type of music;
Country = 11 times
Roll = 17 times
Blues = 8 times
Total visits of Mahnoor = 11+17+8 = 36
Developing a frequency table and probability model for the type of music the restaurant is playing the next time Mahnoor walks in.
Probability = number of favourable outcomes ÷ total number of outcomes.
Music played | Frequency | Probability
country | 11 | 11/36 = .31 or 31%
rock & roll | 17 | 17/36 = .47 or 47%
blues | 8 | 8/36 = .22 or 22%
Answer:
It will earn an additional $71.94.
Step-by-step explanation:
First, figure out what 1% of 720 is by dividing 720 by 100 to get 7.2. Then you add 7.2 to 720 to get 727.2. Then you find 1% of the new total and repeat the process.
The region that covers 23 km^2 has population of 1380 people
Step-by-step explanation:
The population is calculated using population density by multiplying the population density with the area.
Here,
Population density = d = 60 people per kilometer^2
Area = a = 23 km^2
So,

The region that covers 23 km^2 has population of 1380 people
Keywords: Population, Density
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Answer: The probability of drawing 5 cards in either ascending or descending order out of the deck of 52 standard playing cards is 0.84%.
Step-by-step explanation: We have the following cards in a deck: 1(ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, 12(Jack), 13(Queen), 14(King) (thirteen different in total). There are 4 copies of each of them yielding 52 cards in total. First to draw all of the cards in the ascending order all of the drawn cards need to be different. Imagine you have 13 piles of 4 identical cards. Let us calculate the number of ways you can select 5 different ones (the order matters). First you select 5 different piles (this secures that each card is different) and this is possible to do in
(we use the formula for variations since the order matters). Now, each card in the pile can be selected in
different ways so the total number of sequences with
different cards is
. Now we select out of these sequences the clases of those that contain exactly the same cards but in different order. Only 4 of the sequences within the same class will be in ascending order out of 4*5! which is the total number of the sequences within the class! This means that we have to multiply our total number of sequences of 5 different cards by
and this yields the final answer of total number of ascending sequences to be
The total number of possible ways to draw 5 out of 52 cards is just

This yields for the probability

Exactly the same calculation applies for the descending order. So the probabilty of the cards being in either ascending or descending order is just the sum of these two (the events are mutually exclusive, you cannot have both the ascending and descending order at the same time) yielding the final probability of
.
The triangle presented in the image has 2 axes of symmetry because it is only possible to divide it 2 times.
<h3>What are axes of symmetry?</h3>
The axes of symmetry are a concept of geometry that are classified into two groups:
- The plane axis of symmetry: This is an imaginary line that divides a figure into two parts, ensuring that the symmetrical points are at the same distance from it.
- The axis of axial symmetry: This is the symmetry around an axis, it is a point of translation and rotation in which all the semi-planes taken from a certain perpendicular bisector have identical characteristics.
According to the above, it can be inferred that the rectangle presented in the image has only two axes of symmetry.
Learn more about symmetry in: brainly.com/question/17759737
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