Answer:
y=5/2x-1
Step-by-step explanation:
Hello there.
Linear regression is a useful tool that allows calculating approximate values for a function that passes through given points(with the best error possible). It is very useful in science to make an estimation of the comportment of movement, electricity and some decays.
For example, I will relate a case in a physics lab: We calculated the positions of a car in an air rail and the times. With this information, I was able to make a linear regression to calculate the Position function for that case.
The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.
so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2
32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L
so our length is 9 meters.
w = L - 2
w = 9 - 2
w = 7
so our width is 7 meters.
Answer: 600 students
Step-by-step explanation:
Of the total number of sixth graders who were surveyed, 5% owned birds.
This 5% translated to 30 students.
30 students is therefore 5% of the total number of sixth graders surveyed.
Assume that number to be x:
x * 5% = 30
x = 30 / 5%
= 600 students
See the picture attached to better understand the problem
we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1
in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2
equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft
AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft
the answer is410.51 ft