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OLEGan [10]
4 years ago
6

X-5 is less than or equal to 1/3 (9x-6)

Mathematics
1 answer:
katrin [286]4 years ago
8 0
X-5 is less than 1/3 (9x-6) so that problem is correct
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P(A1) = 0.60, P(A2) = 0.40, P(B | A1) = 0.05, and P(B | A2) = 0.10. Use Bayes’ theorem to determine P(A1 | B).
solmaris [256]

The result follows from manipulating the conditional probability. By definition,

P(A_1\mid B)=\dfrac{P(A_1\cap B)}{P(B)}=\dfrac{P(B\mid A_1)P(A_1)}{P(B)}

P(A_1\mid B)=\dfrac{0.05\cdot0.60}{P(B)}

By the law of total probability,

P(B)=P(B\cap A_1)+P(B\cap A_2)=P(B\mid A_1)P(A_1)+P(B\mid A_2)P(A_2)

So we have

P(A_1\mid B)=\dfrac{0.05\cdot0.60}{0.05\cdot0.60+0.10\cdot0.40}\approx0.4286

6 0
3 years ago
Cuantos parque solares hay en china
emmainna [20.7K]

The translation of the question is:

<h3>What are solar parks?</h3>

The solar park is a concentrated zone of development of solar power generation projects and provides developers an area that is well characterized, with proper infrastructure and access to amenities and where the risk of the projects can be minimized.

How many solar parks are there in China?

  • Huanghe Hydropower Hainan Solar Park – 2.2GW
  • Tengger Desert Solar Park – 1.55GW
  • Datong Solar Power Top Runner Base – 1.1GW
  • Yanchi Ningxia Solar Park – 1GW
  • Longyangxia Dam Solar Park – 850MW

Learn more about solar energy here:

brainly.com/question/9704099

#SPJ1

7 0
2 years ago
Hello, help me please))
Fed [463]

Answer:

  • 6
  • 9
  • 1/8
  • -10/11

Step-by-step explanation:

You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.

Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.

__

<h3>1.</h3>

  \ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}

<h3>2.</h3>

  \ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}

<h3>3.</h3>

  \dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}

<h3>4.</h3>

  \ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}

_____

The applicable rules of logarithms are ...

  • ln(ab) = ln(a) +ln(b)
  • ln(a/b) = ln(a) -ln(b)
  • ln(a^b) = b·ln(a)
  • ln(a) = b  ⇔  a = e^b

Of course, a square root is the same as a 1/2 power.

7 0
2 years ago
On January 1, 2017, Shay issues $700,000 of 10%, 15-year bonds at a price of 97¾. Six years later, on January 1, 2023, Shay reti
White raven [17]

Answer:

Loss on retirement is $8190

Step-by-step explanation:

In order to determine the gain or loss on the retirement of the 20% of the bonds,one needs to know the book value of the bonds retired.

First,we calculate the book value of the entire bond as follows

Initial carrying value=$700,000*97.75%=$ 684,250.00  

Initial discount on bonds issue=face value -issue price

                                                  =$700,000-$684,250  

                                                  =$15750

Discount amortized over 6 years out of 15 years=15750 *6/15=$6300

Unamortized discount==$15,750 -$6300=$9450

The book value of the bond now=face value-unamortized discount

                                                      =$700,000-$9450 =$690,550

book value of 20% bonds=$690550 *20%=$138,110

cash paid for retirement=$700,000*20%*104.5%=$146,300

loss on retirement=$146,300-$138,100=$8190

                                       

8 0
3 years ago
Slope Intercept<br> Graph each equation.<br> 1. y = 2x +3
liq [111]

Answer:

HERE U GO

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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