Okay, this is a case of substitution:
3x + y = 13 correct?
-3x -3x
So: y = 13 - 3x
So: 3x +(13-3x)=13
and this is interchangeable, so x and y = all positive numbers
aka. 6x + 2(13-3x) = 26
it does not matter what numbers x and y are as long as they positive
Answer:
At 5% significance level, it is statistically evident that there is nodifference in the proportion of college students who consider themselves overweight between the two poll
Step-by-step explanation:
Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.
Let five years ago be group I X and as of now be group II Y
(Two tailed test at 5% level of significance)
Group I Group II combined p
n 270 300 570
favor 120 140 260
p 0.4444 0.4667 0.4561
Std error for differene = 
p difference = -0.0223
Z statistic = p diff/std error = -1.066
p value =0.2864
Since p value >0.05, we accept null hypothesis.
At 5% significance level, it is statistically evident that there is nodifference in the proportion of college students who consider themselves overweight between the two poll
Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
Answer:
116 km squared
Step-by-step explanation:
When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.
Step 1. Find the missing variables, x, y, and z
y = 2
x = 6 - 2 = 4
z = 8 + (4) + 2 = 14
Step 2. Find the area of each shape
Triangle:
Area = bh/2 = (8 x 14)/2 = <u>56 km sq</u>
Big rectangle:
Area = bh = 8 x 6 = <u>48 km sq</u>
Small rectangle:
Area = bh = 2 x 6 = <u>12 km sq</u>
Step 3. Add all the areas together
56 + 48 + 12 = <u>116 km sq</u>
I hope this helps!
