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Westkost [7]
3 years ago
13

Help me..............

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0
V = <span>πr^2h
so
r^2 = V/(</span><span>πh)
r = </span>√V/(πh)
r = √(Vπh) / πh

answer is D. last one
r = √(Vπh) / πh

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Mikhail recorded the heights of all the male students in his math class. The results, in inches, are: 52, 55, 56, 60, 53, 51, 64
shusha [124]

Mikhail recorded the heights of all the male students in his math class. The results, in inches, are: 52, 55, 56, 60, 53, 51, 64, 67, 61, 58. Which type of graph would best display the heights in the 50 to 59 and the 60 to 69 inch range for comparison?

Solution: Stem and leaf plot would best display the heights in the 50 to 59 and the 60 to 69 inch range for comparison.

Stem-and-leaf plots are a method for showing the frequency with which certain classes of values occur. The stem and leaf plot is used like a histogram; it allows us to compare data. While a histogram uses bars to represent amounts, the leaves of the stem-plot represent amounts.

6 0
3 years ago
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The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

The critical value of \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
4 years ago
Which of the following is equivalent to -4(X + 8)?
o-na [289]

Answer:

None of the above. -4x - 32

Step-by-step explanation:

-4(X + 8)

Distribute -4

-4x + 32 (8 × 4 =32)

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3 years ago
In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of s
ziro4ka [17]

Answer:

m\angle Y = 85\°

Step-by-step explanation:

In Triangles YXZ and PMN

XY \cong MP\\YZ \cong PN

Since the third side of  triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.

Therefore:\triangle XYZ \cong \triangle MPN\\

If the measure of angle P = 85°

Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.

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3 years ago
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