For the first one it is 2:9 second one 4:9 third 3:9
Answer:
perimeter = 52
Step-by-step explanation:
side of square = 2x + 1
- so first lets find the perimeter of square
p = 4 × s (side)
p = 4(2x +1)............. from the given
p = 8x + 4...... we will come back for this equation
side of trianles = 2x,2x,3x + 10
- second lets find the perimeter of triangle
p = s + s + s ( all the three sides)
p = 2x + 2x + 3x + 10
p = 7x + 10........we got another equation we will use it later
- The question says the perimeter of square and the perimeter of triangle are equal so
- 8x + 4(the perimeter of square we solved before) = 7x + 10(the perimeter of triangle we solved before)
8x + 4 = 7x + 10
8x - 7x = 10 - 4
x = 6 ... now lets substitute x
8x + 4
8 × 6 +4
48 + 4
52
the same thing will happen if we substitute for the perimeter of triangle too.
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Z = ( X - Mean ) / SD
z = ( 646 - 597 ) / 39
z = 49/39 = 1.25
With the z-score table:
for z = 1.25, p = 0.8944 ( probability that the cost will be lower than $646 )
1 - 0.8944 = 0.1056
Answer: <span>The probabilit</span>y is 0.1056
5x^2 + 12x + 2 = 5(x + 6/5)^2 - 26/5
The axis of symmetry is x = -6/5.
