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hoa [83]
4 years ago
5

Which ordered pair is not a solution of y= -4x - 9 ?

Mathematics
1 answer:
____ [38]4 years ago
6 0
y=-4x-9 \\ \\
(x,y)=(-9,27) \\
27=-4 \times (-9)-9 \\
27=36-9 \\
27=27 \\
true \\ \\
(x,y)=(3,-21) \\
-21=-4 \times 3-9 \\
-21=-12-9 \\
-21=-21 \\
true

(x,y)=(-6,15) \\
15=-4 \times (-6)-9 \\
15=24-9 \\
15=15 \\
true \\ \\
(x,y)=(5,-28) \\
-28=-4 \times 5-9 \\
-28=-20-9 \\
-28=-29 \\
not \ true

D. (5,-28) is not a solution of y=-4x-9.
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a certain job can be done in 20 hours by 4 people. how many people are needed to do the same job in 10 hours?
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7 0
3 years ago
An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his electi
Anuta_ua [19.1K]

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

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