<span>p1=44/88=.50; p2=57/85=.67.
Under the null hypothesis of no difference, we pool the data to estimate the
common p of (44+57)/(88+85)=.584.
The test statistic is (.67-.50)/sqrt[(.584)(1-.584)(1/88 + 1/85)]=2.268 (which is stat sig. at a .095 level).</span>
Answer:
x = 80, y = 122
Step-by-step explanation:
I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).
3/4x+2/5x-2=90°,
23/20x - 2=90°,
23/20x = 92°,
92/(23/20)
20/(1/4)
20(4)
= 80.
Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.
180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122
Answer:
4 gallons
Step-by-step explanation:
The total required quarts of paint is: 8 x 1/2 = 4
Answer:
20a³
Step-by-step explanation:
Simply multiply:
-5(-4) = 20
-a(-a)(a) = a²(a) = a³
20a³
