Treat the 2p+q as x
6x2-5x-25
trial and error
(2x-5)(3x+5)
replace x with (2p+q)
(2(2p+q)-5)(3(2p+q)+5)
(4p+2q-5)(6p+3q+5)
Answer:
D. 30.5
Step-by-step explanation:
Given that A, B, C, D, and E are collinear,
AE = 38,
BD = 15, since segment BC = CD = DE, therefore
BD = ⅔ of BE
15 = ⅔*BE (substitution)
Solve for BE
Multiply each side by 3
15*3 = ⅔*BE*3
45 = 2*BE
Divide both sides by 2
45/2 = BE
22.5 = BE
BE = 22.5
Find AB:
AB + BE = AE (segment addition postulate)
AB + 22.5 = 38 (Substitution)
AB = 38 - 22.5 (Subtracting 22.5 from each side)
AB = 15.5
Find length of segment AD:
AB + BD = AD (segment addition postulate)
15.5 + 15 = AD (Substitution)
30.5 = AD
AD = 30.5
Answer:
Probably unequal ( B )
Step-by-step explanation:
<u>experimental group = 10</u>
using 85% ethanol gasoline
mean = 240 pounds per 100 miles
standard deviation = 20 pounds
<u>control group = 14 vehicles </u>
using regular gasoline
mean = 252 pounds per 100 miles
standard deviation = 15 pounds
comparing the sample variance of each group shows that they are probably unequal using the equation below
Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1
where n = number of events
X = mean value
x = value of events
Answer:
102.4
Step-by-step explanation:
Open the bracket
19-6.2=12.8
8(12.8)
8*12.8=102.4
Answer:
Step-by-step explanation:
subtract 6-5.5 to get .5
and then divide .5/6 to get 0.0833
then multiply that quotient by 100 to get percentage
8.33% or 8.3% if you go to the nearest tenth
