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Degger [83]
3 years ago
12

Find the discriminat 2x^2 + 8x - 9 = 0

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer:

2x^2 + 8x - 9 = 0

2x^2 + 8x = 9

2x^2 + x = 9/8

x^2 + x = 9/8×2

x^2 + x = 9/16

2x = √9/16

x = √9/32

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A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6
Zielflug [23.3K]

Answer:

The interval (-0.0199, 0.0510) represents the region of values where the true difference (in population terms now) between the initial proportion of registered voters that favour candidate X and the proportion of registered voters that favour candidate X just before election can take on with a confidence level of 90%.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence. It is usually obtained from the sample.

p₁ represents the proportion of registered voters that favour candidate X in the initial poll, way before the election.

p₂ represents the proportion of registered voters that favour candidate X in the poll just before the election.

So, for this question the confidence interval for the true difference between the population proportion of registered voters that favour candidate X way before the elections and the population proportion that favour candidate X just before the election lies within (-0.0199, 0.0510) with a confidence interval of 90%.

Confidence interval is calculated mathematically as thus:

Confidence Interval = (Difference in Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the difference in the two sample proportions.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value = 1.645 (obtained from the z-tables because the sample size is large enough to ignore that information about the population standard deviation isn't given and t-critical value approximates z-critical value)

Hope this Helps!!!

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3 years ago
In one year a dog’s weight increased from 64 to 80. By what percentage did the dogs weight increase?
kicyunya [14]
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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