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Vilka [71]
1 year ago
6

The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of pr

ecipitation during this time? Round to the nearest hundredth.
A) 1.97 Inches
B) 2.61 Inches
C) 5.33 Inches
D) 5.98 Inches

Mathematics
2 answers:
polet [3.4K]1 year ago
7 0
Hello,
Please, see the attached file.
Thanks.

zhannawk [14.2K]1 year ago
5 0

Answer : C) 5.33 Inches

The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013.

We are given with 9 values.

number of values =9

To find the mean amount of precipitation during this time we add all the precipitation then divide by number of values

Mean amount of precipitation = \frac{Sum of precipitation}{number of values}

Mean amount of precipitation = \frac{5.98+6.05+7.59 +5.27+ 3.11+7.18+ 2.95 + 7.22+2.61}{9}

= \frac{47.98}{9} = 5.32888

The mean amount of precipitation = 5.33 inches

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Svetlanka [38]

we know that

Step 1

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

XY^{2}=XZ^{2} +ZY^{2} \\   ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units

ZY=21\sqrt{3}\ units

Step 2

in the right triangle XYZ

Find tan60°

we know that

tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}

in this problem

opposite side angle 60 is ZY

adjacent side angle 60 is XZ

so

tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21}  \\ \\  tan\ 60=\sqrt{3}

therefore

the answer is

\sqrt{3}


3 0
1 year ago
Read 2 more answers
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

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

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

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

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

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
1 year ago
On zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one d
Natasha2012 [34]

Answer:

6 is the correct answer

Step-by-step explanation:

Hope it is helpful...

3 0
1 year ago
L = loudness, in decibels (dB); I = sound intensity, in watts/m2; I0 = 10−12 watts/m2
irina [24]
The sound intensity of the Pile Driver is 39.5
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First,
112dB/10 = 11.2 

Then we'll use this as exponent of 10
(10)^(11.2) = 1.5849 * 10 ^ 11

Then use the equation of Watts per square meter to find the intensity:
I / (10^-12 W/m^2) =1.5849 * 10 ^ 11
I = sound intensity = 0.158

Then compare:

Sound intensity of Pile Driver/ Sound intensity of Jackhammer
(0.158) / (0.004)
= 39.5
or nearly 40 times the jackhammer.
3 0
2 years ago
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