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damaskus [11]
4 years ago
6

HURRY PLEASE!!!!!

Mathematics
1 answer:
RideAnS [48]4 years ago
7 0
First we need to find the radius of the cylindrical tree trunk if the circumference C=4 feet: C=2rπ, r=4/(2π)=2/π. Now we find the volume V: V=r^2π*h, where h=20 feet is the height. So we input the numbers: V=(2/π)^2*π*20=(4/π²)*π*20. π in the nominator and the denominator cancel out: V=(4/π)*40=80/π. The volume of the cylindrical tree trunk is V=80/π feet^3
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A cereal box contains 5 cups of cereal.
MA_775_DIABLO [31]

Answer:

10 servings

Step-by-step explanation:

Since one box contains 5 cups then, two boxes equals <u>10 servings</u>.

4 0
3 years ago
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

4 0
3 years ago
What number would you have to add to both sides to complete the square? X^2-16x=-8
Oliga [24]
The question is about the number we need to add both sides. It is 64

4 0
4 years ago
Read 2 more answers
Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work
Jet001 [13]

Answer:abudul should have divided by 4 ,not 6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Comparing Order of Magnitude A biologist estimated the number of cells in a culture sample as 1.3 × 102. One week later, he look
Assoli18 [71]

Answer:

3 * 10^3 in scientific notation.

3,000 in standard notation.

Step-by-step explanation:

We divide:

3.9 *10^5 / 1.3 * 10^2

= ( 3.9/1.3) * (10^5 / 10^2)

= 3 * 10(5-2)

= 3 * 10^3.

This  equals 3 * 1,000 = 3000.

4 0
3 years ago
Read 2 more answers
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