write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality

1 answer:

6 0

Sally had 8 dollars right before she was paid for working 4 hours. Sally has at least 32 dollars now.
how much was she paid per hour?
$4x + 8 \geqslant 32$
$4x \geqslant 24$
$x \geqslant 6$
Sally was paid at least 6 dollars /hour.

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In a random sample of 60 shoppers from a large suburban mall, 36 indicated that they had been to a movie in the past month. In a

ZanzabumX [31]

Answer:

There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.

Step-by-step explanation:

We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.

The null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a: \pi_1-\pi_2\neq0$

The significance level is assumed to be α=0.05

The suburban sample has a proportion of

$p_1=36/60=0.6$

The downtown sample has a proportion of

$p_2=31/50=0.62$

The average of proportion is:

$p=\frac{n_1p_1+n_2p_2}{n_1+n_2}=\frac{60*0.60+50*0.62}{60+50}=\frac{67}{110}=0.61$

The standard deviation of the difference of proportions is:

$s_{p1-p2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} } =\sqrt{\frac{0.61*0.39}{60} +\frac{0.61*0.39}{50} }\\\\s_{p1-p2}=\sqrt{0.003965+0.004758}=0.0934$