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4 years ago

Solve 3x2 18x 15 = 0 by completing the square.

1 answer:

3 0

3(x^2 + 6x + 5) = 0
3(x^2 + 6x + 9 + 5 - 9) = 0
3(x + 3)^2 + 3(-4) = 0
3(x + 3)^2 - 12 = 0
3(x + 3)^2 = 12
(x + 3)^2 = 4
x + 3 = sqrt(4)
x = -3 + or - 2
x = -3 + 2 or -3 - 2
x = -1 or -5
The correct answer option is option c.

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Answer:

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3 years ago

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Express as a ratio in whole numbers 1/2 : 1/4 : 1/12

Gelneren [198K]

Answer:

6 : 3 : 1

Step-by-step explanation:

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3 years ago

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3 years ago

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masya89 [10]

Answer:

a) H0 : P = 0.07

Ha : P ≠ 0.07

b) p -value = 0.1770

Step-by-step explanation:

P = 7% = 0.07

x (result ) = 7 , n = 163

p = x / n = 7 / 163 = 0.043

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Z = ( p - P ) / $\sqrt{\frac{P(1-P)}{n} }$

= ( 0.043 - 0.07 ) / $\sqrt{\frac{P(1-P)}{n} }$ = - 1.35

Critical value ( Z₀.₀₂₅ ) = ± 1.96

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<u>b) Determine the p-value of the test </u>

P-value = P ( | Z | > Z )

= 2 * P ( Z < -1.35 )

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The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )

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