Answer:
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Step-by-step explanation:
The perimeter of a triangle is the sum of all three sides
3x+2y + 11x+y = 91
Combine like terms
14x +3y = 91
The lines mean the sides are equal
3x+2y = 11x
Simplify
Subtract 3x from each side
3x-3x+2y = 11x-3x
2y = 8x
Divide by 2
2y/2 = 8x/2
y = 4x
Substitute 4x in the first equation every time you see y
14x +3y = 91
14x +3(4x) = 91
14x+12x=91
26x = 91
Divide by 26
26x/26 =91/26
x = 3.5
Now we can find y
y = 4x
y = 4(3.5)
y = 14
We know x and y we can find the length of each of the sides
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
The total is 94 units.
A square has four equal sides so...
(5x-1)+(4x+3)+(5x-1)+(4x+3)=94
Combine like terms
19x+4=94
Subtract 4 from both sides
94-4=90
18x=90
Divide by 18 on both sides
90/18=5
X=5
Plug 5 in for x on the length of PQ
4(5)+3
20+3=23
Length of PQ=23 units
Answer:
1- b. False
2 b. We are 95% confident that the true mean is between 76.08 and 83.92.
Step-by-step explanation:
Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.
Answer:
12
Step-by-step explanation:
We know that 15/20 students voted in the StuCo election on the first go around.
Using this ratio for 16 student is as simple as multiplying 15/20 by 16
(15/20)*16=12
