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elena55 [62]
3 years ago
5

The volume of a Soap cake is 160 cm 3 . Its length and width are 10cm and 5 cm. Find its height.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

h = 3.2 cm

Step-by-step explanation:

h=\frac{Volume}{l * w}\\\\=\frac{160}{10*5}\\\\=\frac{16}{5}\\\\

= 3.2 cm

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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,
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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

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

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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\

Hence, the correct answer is 0.17 ± 0.096.

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3 years ago
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Which is the correct word form of 8.16
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The <u>correct word form of 8.16</u> is b. eight and sixteen hundredths

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So, combining both we have eight and sixteen hundredths.

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