Complete question :
Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?
Answer:
61
Step-by-step explanation:
Given the following :
Total number of students = 4 + 1 missing = 5
Score on the four avaliable papers = 60, 62, 56, 57
Average score of the 5 papers = 59.2
Score on missing paper :
Sum of each score / number of papers
Sum of each score = sum of available scores + missing score
Let missing score = m
(60 + 62 + 56 + 57 + m) = 235 + m
Recall:
Average = total sum / number of observations
Hence,
59.2 = (235 + m) / 5
59.2 × 5 = 235 + m
296 = 235 + m
m = 296 - 235
m = 61
Missing score = 61
The hypotenuse of the right triangle measures 3 units.
<h3>
How to find the hypotenuse?</h3>
Here we know that both legs measure:
If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:
Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer:
hiiii
Step-by-step explanation:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.
(Table)
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour. ( equation)
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate. ( Graph)
Answer:
The center is at (3, -4), and the radius is 9.
Step-by-step explanation:
x² + y² − 6x = 56 − 8y
Move x and y terms to one side.
x² − 6x + y² + 8y = 56
Complete the squares.
x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16
(x − 3)² + (y + 4)² = 81
The center is at (3, -4), and the radius is 9.
Answer:
She will run 3 1/3 miles in 2 days
Step-by-step explanation:
1 2/3 + 1 2/3 = 2 4/3
= 3 1/3
