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amm1812
3 years ago
11

Determine whether the function has a maximum or minimum value. f(×)= x^2+9

Mathematics
2 answers:
PtichkaEL [24]3 years ago
3 0
f(x)= x^2+9\\\\for\ each\ x\in R\\\\x^2 \geq 0\ \ \ \Rightarrow\ \ \ x^2+9 \geq 9\ \ \ \Rightarrow\ \ \ f(x) \geq 9\\\\y_{min}=9\\ y_{max}\ \ \ \rightarrow\ \ \ not\ exist
miv72 [106K]3 years ago
3 0
a>0 so the function has a minimum, but no maximum.
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Step-by-step explanation:

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6 0
3 years ago
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11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

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We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

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From the information given,

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μ2 = 3.33

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t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

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We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

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Answer:

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