<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a



A. Two real solutions (x' = -1 and x'' = -1/4)
Is there a picture that goes with the question?
The distance all the way around the sidewalk (the circumference) is 300 pi. 45 degrees is 1/8 of 360 degrees, so the two paths cut 1/8 of the circumference. That's 37.5 pi = 117.81 ft. The nearest whole foot is 118 ft.
Answer:
Interval estimate for the proportion of all homeowners in the United States that hold a home equity loan lie between (.17033 , .22967 ) or 17% to 22.9%
Step-by-step explanation:
Given -
In a recent poll of 1,200 homeowners in the United States, one in five homeowners reports having a home equity loan that he or she is currently paying off.
If one in five homeowners reports having a home equity loan then for 1200 homeowners =
= 240 homeowners reports having a home equity loan.
Sample proportion
=
= 0.2
confidence coefficient = 0.99
= 1 - confidence coefficient = 1 - 0.99 = .01
= 2.58
interval estimate for the proportion of all homeowners in the United States that hold a home equity loan
= 
= 
= 
= 
= 
= (.17033 , .22967 )
1/3*2/5=0.13
1/8*3/4=0.09
3/4*5/8=0.46
2/5*3/7=0.17
3/4*1/2=0.37
2/3*4/1=2.66