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polet [3.4K]
3 years ago
8

Hey man. do me a favor and solve . thanx man​

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer:

16964.6

Step-by-step explanation:

V=3.14×r2×h r is half remember!

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Can two positive integers have their H.C.F and L.C.M as 12 and 512 respectively? justify.
DaniilM [7]

Here is your answer

NO

Reason:

H.C.F. divides the L.C.M. completely.

Here 512 is not completely divided by 12

So, two numbers can't have their H.C.F and L.C.M as 12 and 512 respectively.

HOPE IT IS USEFUL

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Carol Ann buys a TV at 70% off the original price. If she pays $120, what was the original price of the TV?
Keith_Richards [23]
If the TV is 70% off, then that means she paid 30% of the original cost.  If 30% of the original cost  is $120, then...

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4 years ago
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In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random
kupik [55]

Answer:

a) \alpha = 3, \beta = 2

b) 0.0620

Step-by-step explanation:

We are given the following in the question:

Population mean, \mu = 6

Variance, \sigma^2 = 12

a) Value of \alpha, \beta

We know that

\alpha \beta = \mu = 6\\\alpha \beta^2 = \sigma^2 = 12

Dividing the two equations, we get,

\dfrac{\alpha\beta^2}{\alpha\beta} = \dfrac{12}{6}\\\\\Rightarrow \beta = 2\\\alpha \beta = 6\\\Rightarrow \alpha = 3

b) probability that on any given day the daily  power consumption will exceed 12 million kilowatt hours.

We can write the probability density function as:

f(x,3,2) = \dfrac{1}{2^{3}(3-1)!}x^{3-1}e^{-\frac{x}{2}}, x > 0\\\\f(x,3,2) = \dfrac{1}{16}x^{2}e^{-\frac{x}{2}}, x > 0

We have to evaluate:

P(x >12)\\\\= \dfrac{1}{16}\displaystyle\int^{\infty}_{12}f(x)dx\\\\=\dfrac{1}{16}\bigg[-2x^2e^{-\frac{x}{2}}-2\displaystyle\int xe^{-\frac{x}{2}}dx}\bigg]^{\infty}_{12}\\\\=\dfrac{1}{8}\bigg[x^2e^{-\frac{x}{2}}+4xe^{-\frac{x}{2}}+8e^{-\frac{x}{2}}\bigg]^{\infty}_{12}\\\\=\dfrac{1}{8}\bigg[(\infty)^2e^{-\frac{\infty}{2}}+4(\infty)e^{-\frac{\infty}{2}}+8e^{-\frac{\infty}{2}} -( (12)^2e^{-\frac{12}{2}}+4(12)e^{-\frac{12}{2}}+8e^{-\frac{12}{2}})\bigg]\\\\=0.0620

0.0620 is the required probability that on any given day the daily  power consumption will exceed 12 million kilowatt hours.

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What are the characteristics of a gas?
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D. no definite shape or definite volume
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