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3 years ago

9

A rectangular prism is 1 inch long and 2 inches wide. Its volume is 12 cubic inches. What is the height of the rectangular prism

?

1 answer:

KIM [24]3 years ago

7 0

Answer: 6 inches

Explanation:

12 = 1(2)h

12 = 2h

12 ÷ 2 = 2h ÷ 2 (isolating the H term)

6 = h

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Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a rando

inysia [295]

Answer:

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are<u> 0.3301 </u>and_<u>0.3791 </u>respectively

b)

<em>D) The data come from a Population that is Normally distributed</em>

<em>F) the samples are independent</em>

<em>c) </em>

<em>Null hypothesis: H₀: </em> $p_{m} ^{-} - p^{-} _{fm} \leq 0$

<em>Alternative Hypothesis H₁</em>: $p_{m} ^{-} - p^{-} _{fm} \geq 0$

Step-by-step explanation:

Given data Among the 530 males surveyed, 175 responded "Yes

The sample proportion of males

$p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301$

The sample proportion of 575 Females surveyed, 218 responded "Yes

$p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791$

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are<u> 0.3301 </u>and_<u>0.3791 </u>respectively

b)

<em>The data come from a Population that is normally distributed.</em>

<em>The two samples are independent</em>

c)

<em>Null hypothesis: H₀: </em> $p_{m} ^{-} - p^{-} _{fm} \geq 0$

<em>Alternative Hypothesis H₁</em>: $p_{m} ^{-} - p^{-} _{fm} \leq 0$

We will use two samples Z - hypothesis test

$Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }$

$Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }$

$Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }$

$Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287$

The test statistic

$Z = \frac{0.3301-0.3791}{0.02875}$

Z = -1.7043

|Z| = |-1.7043|

The tabulated value Z₀.₉₅ = 1.96

The calculated Z= 1.7043 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

<u><em>Conclusion:-</em></u>

The evidence suggest not a higher proportion of females are annoyed by this behavior

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Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to t

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Answer

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Step-by-step explanation:

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