Answer:
Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
x=17
Step-by-step explanation:
A 6 sided polygon is 720° degrees
so
720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
Simplify
720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)
Combine like terms:
720=26x+278
flip equation:
26x+278=720
subtract 278 from both sides
26x=442
divide by 26 both sides:
x=17
Hope this helps.
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
So it would be 3s + 7s + 11s + 15s + 19s + 23s + 27s. Hope this helps
Answer:
<u>The negative solution is -4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = a number
4x = x² - 32 (4 times a number is 32 less than the square of that number)
2. Let's solve for x and find the negative solution:
4x = x² - 32
-x² + 4x + 32 = 0
x² - 4x - 32 = 0 (Multiplying by - 1)
(x - 8) (x + 4) = 0
(x₁ - 8) = 0
(x₂ + 4) = 0
x₁ = 8
<u>x₂ = -4</u>
<u>The negative solution is -4</u>
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