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9966 [12]
3 years ago
15

Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for π. A cylinder has a radius of 6

meters and a height of 3 meters.
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

\displaystyle 339,3\:m.^3

Step-by-step explanation:

πr^2h = V \\ \\ π6^2[3] = 108π ≈ 339,2920066 ≈ 339,3

I am joyous to assist you anytime.

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Ten plus two times the quantity of a number plus four
Cerrena [4.2K]
10+2 x n +4
(N is the quantity of a number)
3 0
3 years ago
the area of the mojave desert is 25,000 square miles. A scale drawing of the mojave desert has an area of 10 square inches. What
PtichkaEL [24]
Given that t<span>he area of the mojave desert is 25,000 square miles and a scale drawing of the mojave desert has an area of 10 square inches.

The scale of the map is given by

\sqrt{25,000} : \sqrt{10}  = \sqrt{2,500\times10} : \sqrt{10}  \\  \\ =50 \sqrt{10} : \sqrt{10} =50:1

Therefore, the scale of the drawing is 50 : 1.
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7 0
3 years ago
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systo
PIT_PIT [208]

Answer:

The  estimate is

             52.02  <  \mu  < 55.78

Step-by-step explanation:

From the question we are told that

    The sample mean is \ = x  =  53.9

     The sample size is  n =  24

      The standard deviation is  \sigma =  5.6

 

Given that the confidence level is  90% the level of significance is mathematically represented as

           \alpha  =  100 - 90

            \alpha  =  10 \%

            \alpha  =  0.10

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

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} } =  1.645

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because    \alpha

represents the area under the normal curve where the confidence level interval (  1 - \alpha ) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

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

substituting values

         E  =  1.645  *  \frac{5.6 }{ \sqrt{24} }

          E  =  1.880

The  estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

         \= x  -  E  <  \mu  <  \= x  +  E

substituting values

         53.9  -  1.880  <  \mu  <  53.9  +  1.880

         52.02  <  \mu  < 55.78

5 0
3 years ago
Work out the size of angle X
irina [24]

Answer:

117

Step-by-step explanation:

180-101 = 79

180-(79+38)

180-117

63

180-63=117

4 0
2 years ago
Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high.
PolarNik [594]
The correct answer is A 
3 0
3 years ago
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