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Afina-wow [57]
3 years ago
9

Use a graphing calculator and a system of

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

Answer: -2 and 0

Step-by-step explanation:

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Which polynomial is prime?<br> <br> x2 + 9<br> x2 – 25<br> 3x2 – 27<br> 2x2 – 8
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A prime polynomial is one that cannot be reduced.
x² - 25 reduced to (x + 5)(x - 5)
3x² - 27 reduces to 3(x + 3)(x - 3)
2x² - 8 reduces to 2(x + 2)(x - 2)

Therefore, 
x² + 9 is prime.
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e 400 trials in which the assistant maintained a neutral expression, the driver stopped in 229 out of the 400 trials. Find a 95%
Fittoniya [83]

Answer:

Step-by-step explanation:

n = 400

Proportion p = 229/400= 0.5725

For 95% confidence interval we use Z value as 1.96

Std error = 0.025

margin of error = 1.96*0.025

Confidence interval 95% = 0.5725±Margin of error

= (0.524, 0.621)

b) When smiled x becomes 277

p = 0.6925

Std error = 0.023

Margin of error= 1.96*0.023

Confidence interval = (0.647, 0.738)

Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.

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Approximately 13.2% of US drivers are younger than age 25, with 37.7% in the 25-44 age group, and 49.1% in the 45-and-over-categ
Elan Coil [88]

Answer:

could not be the same

Step-by-step explanation:

Given that approximately US drivers are agewise as follows:

<25   13.2

25-45   37.7%

>45   49.1%

Observations are made for a sample of 200 fatal accidents.

Let us create hypotheses as

H_0:  Proportions age wise are the same as for US drivers\\H_a: Proportions are different

(Two tailed chi square test at 5% significance level)

Age <25 25-45 >45  

Expected 13.2 37.7 49.1 100

Observed 42 80 78 200

Expected no  26.4 75.4 98.2 200

Chi square 9.218181818 0.280636605 4.155193483 13.65401191

df = 2

p value = 0.001084

Since p <0.05 we reject null hypothesis

At the  0.05 level, the age distribution of drivers involved in fatal accidents within the state could not be the same as the age distribution of all US drivers as there seems to be significant difference.

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3 years ago
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