Need help nadding and subtracting functions

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

3 0

Answer:

2x² + $\frac{3}{2}$ x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= $\frac{x}{2}$ - 2 + 2x² + x - 3 ← collect like terms

= 2x² + $\frac{3}{2}$ x - 5

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Researchers are interested in determining whether more men than women prefer Coca Cola to Pepsi. In a random sample of 300 men,

kobusy [5.1K]

Answer: 0.17 ± 0.096

Step-by-step explanation:

Confidence interval for difference between the population proportion :

$p_1-p_2\pm z^*\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

, where $p_1$ = sample proportion for population 1.

$p_2$ = sample proportion for population 2.

$n_1$ = Sample size from population 1.

$n_2$ = Sample size from population 1.

As per given , we have

Population

$p_1=0.65\ \ \& \ \ p_2=0.48$

$n_1=300\ \ \ \&\ \ n_2=400$

Critical z-value for 99% confidence level is z*=2.576 [By z-table]

Now , the 99% confidence interval estimate for the difference between the percentages of men and women who prefer Coca Cola over Pepsi :

$(0.65-0.48)\pm (2.576)\sqrt{\dfrac{(0.65)(1-0.65)}{300}+\dfrac{(0.48)(1-0.48)}{400}}\\\\= 0.17\pm(2.576)\sqrt{0.0007583+0.000624}\\\\=0.17\pm(2.576)\sqrt{0.0013823}\\\\=0.17\pm(2.576)(0.03718)\\\\=0.17\pm0.09577568\\\\\approx0.17\pm0.096$ \