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r-ruslan [8.4K]
2 years ago
14

Find the maximum value of the function f(x) = -1.9x^2 + 24x – 71.3 to the nearest hundredth.

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
4 0
Being that the system is quadratic—with parabola opening downwards—you’re going to need to find the vertex. You can find the x coordinate of the vertex with -b/2a . Then plug in for x to find the y coordinate…
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Divide. Write the quotient in lowest terms. 3/5. Devide by 2 1/2 how much ????
dybincka [34]

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6 0
3 years ago
In a previous​ year, 51​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different tod
Yanka [14]

Answer:

Given:

n = 550

Po = 51% = 0.51

P0 - 1 = 0.51 - 1 = 0.49

p' = \frac{287}{550} = 0.5218

np0(1 - p0) = 550*0.51(1-0.51)

= 137.4 ≥ 100

This means the sample size is greater than 5% of the population size. and the sample can be reasonably assumed to be random, the requirement for testing hypothesis are satisfied.

1) The null and alternative hypotheses:

H0 : p0 = 0.51

H1 : p0 ≠ 0.51

The test statistic Z,

Z = \frac{p' - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}

Z = \frac{0.5218 - 0.51}{\sqrt{\frac{0.51(1-0.51)}{550}}}

Z = 0.55

This is two tailed test.

The pvalue for Z =0.55

Pvalue = 0.5824

3) Decision:

Since pvalue, 0.5824 is greater than significance level, we fail to reject null hypothesis H0.

Conclusion:

Do not reject Upper H0. There is not sufficient evidence at the alpha equals 0.01 level of significance to conclude that the proportion of females who are living alone has changed.

8 0
3 years ago
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