Answer:
Therefor it is clear that the percentage of first year student like to listen classical music is less than 10 %
Step-by-step explanation:
Given as ;
The total number of first year students in an university = 250
The number of student who like to listen classical music = 12 out of 250
Let x % of student like to listen classical music
So, x% of 250 = 12
or, 
× 250 = 12
or, x × 250 = 12 × 100
Or, x = 
∴ x = 4.8
I.e the percentage of first year student like to listen classical music is 4.8%
Now, Again
The 10% of the total number of student is
I.e 10% of 250
or, 
× 250
Or , 
I.e The 10% of the total number of student = 25
Since 4.8 % of total number of students is 12 and 10% of total number of students is 25
Therefor it is clear that the percentage of first year student like to listen classical music is less than 10 % . answer
The numbers in the sequence will be 40, 80, and 160.
<h3>How to get the values?</h3>
Let x be the first number in the sequence, so the first three numbers are {x, 0.5x, 0.5²x}.
Then
{x/4 + 10, 0.5x - 10, 2(0.5²x) + 10}
0.5x - 10 = x/4 + 10 + c = x/2 - 10 = x/4 + 10 + c
2(0.5²x) + 10 = 0.5x - 10 + c = x/2 + 10 = x/2 - 10 + c
Solve the second equation for c :
x/2 + 10 = x/2 - 10 + c
c = 20
Substitute this into the first equation and solve for x :
x/2 - 10 = x/4 + 10 + 20
x/4 = 40
x = 160
Then the terms are {160, 80, 40}
Learn more about sequence on:
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Answer:
Step-by-step explanation:
Perimeter of a garden = 2(L+W)
Area of the gerden = LW
L is the length
W is the width
Given
Perimeter = 155ft
Area = 1400ft²
Substitute
1400 = LW
155 = 2L+2W
from 1;
W = 1400/L
Substitute into 2;
155 = 2L + 2(1400/L)
155 = 2L + 2800/L
155L = 2L² + 2800
2L²-155L + 2800 = 0
Factorize
L = 155±√155²-4(2)(2800)/4
L = 155±√24025-22400/4
L = 155±√1625/4
L = L = 155±40.31/4
L = 194.31/4
L = 48.82 feet and;
L = 155-40.31/4
L = 28.67ft
Hence the approximate length of the garden is at least 28.67 feet and at most 48.82 feet.
Answer:
MN
Step-by-step explanation:
A cord is a line that has two points on the outer-rim of the circle, but does NOT go through the center
Answer:
A. There are no y-intercepts
Step-by-step explanation:
I calculated it logically
