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kodGreya [7K]
3 years ago
7

If a cone has a volume of 28.63 and a diameter of 4.5 what is the height​

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

height = 5.4 units

Step-by-step explanation:

r = 4.5/2 = 2.25

B = πr² = 3.14(2.25²) = 15.90

V = 1/3Bh

28.63 =1/3(15.90)h

85.89 = 15.90h

h = 5.40 units

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Which of the following are adjacent angles?
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Answer:

Solution :

********************************************

Two angles are said to be a pair of

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arm and lie on the either sides of the

common arm .

***********************************************

Now ,

i ) a , b are a pair of adjecent angles .

ii ) c , d are pair of adjecent angles.

iii ) e, f are not adjecent angles .

Step-by-step explanation:

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3 years ago
Wind farm configuration is a significant issue as the upwind turbines generate maximal energy while creating wakes for downwind
lord [1]

Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

a)

The 95% confidence interval is given by the interval

\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]

where

\bf \bar x= 26.7 is the sample mean  

s = 17.7 is the sample standard deviation  

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute \bf z^* and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))

and our 95% confidence interval is

\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}

(*)

This value can be computed in Excel with

<em>NORMINV(1-0.025,0,1)</em>

and in OpenOffice Calc with

<em>NORMINV(1-0.025;0;1)</em>

b)

Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

7 0
3 years ago
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