Using the mean concept, the average collection for a student in this school was of $16.13.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
The number of students is given as follows:
82 + 74 + 96 + 99 = 351.
The sum is:
82 x 26.75 + 74 x 12.25 + 96 x 15.50 + 99 x 10.85 = $5662.15
Hence the mean is:
M = $5662.15/351 = $16.13.
More can be learned about the mean of a data-set at brainly.com/question/24628525
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Answer:
D. 60, 45,75
Step-by-step explanation:
For options C and D
For a triangle the sum of the angles must always be equal to 180 degrees
So 180 ≠45+45+80
and
60 +45+ 75= 180
For option A and B
The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.
According to Pythagorus theorem
hypotenuse²= base² + perpendicular²
c²= a²+ b²
90²= 50² + 35²
8100= 2500+1225
8100≠3725
95²= 60²+ 25²
9025= 3600+ 625
9025≠4225
Therefore only D is the correct option
Answer:
Could be wrong but my answer would be none because the angles in a triangle have to add to 180 degrees
Step-by-step explanation:
Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
Answer with Step-by-step explanation:
f(1) = 160 and f(n + 1) = –2f(n)
⇒ f(2)= -2×f(1)
= -2×160
= -320
⇒ f(3)= -2×f(2)
= -2×(-320)
= 640
⇒ f(4)= -2×f(3)
= -2×640
= -1280
Hence, Value of f(4) is:
- 1280