Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Prefers sports = 37
Prefers movies = 28
Total students = 86
We will calculate the percentage for each case:
sports:
N = (37/86) * (100) = 43.02%
movies:
N = (28/86) * (100) = 32.56%
Therefore, the highest percentage is found in students who prefer sports.
Answer:
No, the percentage of students who prefer sports is higher than the percentage of students who prefer movies
option C
16 pts is equal to 256 fluid ounces. 16 pints is greater than 100 fl. Hope this helps ! (:
twin sides stemming from a common vertex, make twin angles, since the HG = HF, then ∡G = ∡F.
