Which pair of number has the least common multiple of 12
1 answer:
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Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is time the length of any of its legs. If the hypotenuse has a measure of
, then the legs of the triangle have a measure of
.
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
(1)
Area
(2)
Where is the side length of the square.
If we know that , then the perimeter and area of the square are, respectively:
The perimeter and area of the square are 56 units and 196 square units, respectively.
The question is incomplete. Here is the complete question.
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.
The average (mean) aptitude score:
The median aptitude score:
Answer: mean: 2.73
median: 3
Step-by-step explanation: <u>Mean</u> is the average number of a set of numbers.
The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:
mean = 2.73
<u>Median</u> is the middle term of a set of data.
When there is a frequency table, median is calculated as:
1) First, determine the total number of observations (n).
For this table, n = 15
2) Because n is odd, find the position of the median using:
position = 8th
3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.
<u>Average score</u> of a musical aptitude test is <u>2.73</u> and median is 3
