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Allushta [10]
3 years ago
5

The length of a rectangle is 3meters longer than the width. If the area is 34 square meters, find the rectangle's dimensions. Ro

und to the nearest tenth of a meter.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:

Step-by-step explanation:

The length of a rectangle is 3meters longer than the width. If the area is 34 square meters, find the rectangle's dimensions. Round to the nearest tenth of a meter.

Area of the rectangle = Length × Width

L = w + 3

A = 34 m³

Hence,

34 = (w + 3)w

34 = w² + 3w

w² + 3w - 34 = 0

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Answer:

Null hypothesis:p=0.4  

Alternative hypothesis:p \neq 0.4

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Step-by-step explanation:

Information given

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X=81 represent the number of people with type A blood

\hat p=\frac{81}{144}=0.5625 estimated proportion of  people with type A blood

p_o=0.4 is the value that we want to verify

\alpha=0.01 represent the significance level

z would represent the statistic

p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.:  Null hypothesis:[tex]p=0.4  

Alternative hypothesis:p \neq 0.4  

the statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98  

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

p_v =2*P(z>3.98)=0.0000689  

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

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Step-by-step explanation:

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