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Minchanka [31]
2 years ago
14

Lnx=-3

Mathematics
1 answer:
scZoUnD [109]2 years ago
3 0

Answer:

because It's rounded to the nearest hundred place

Step-by-step explanation:

Given equation:

  • \ln(x )  =  - 3

recall that,

\ln(a )  =  b \iff  {e}^{b}  = a

remember, <em>In </em>is natural logarithm which is actually nothing but common logarithm with the base euler's number (<em>e)</em><em> </em>. anyway rewriting lnx=-3 yields:

\ln( x )  =   - 3\\  \iff  {e}^{ - 3}   =  \frac{1}{ {e}^{3} }

1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .

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3 years ago
90 men can complete a work in 24 days working 8 hrs a day. how many men are required to complete the same work in 18 days workin
JulsSmile [24]

Answer:

128 men

Step-by-step explanation:

90 × 28 × 8 = M × 18 × 15/2

M = 128

7 0
3 years ago
Find the indicated conditional probability
andrezito [222]

Given:

The two way table.

To find:

The conditional probability of P(Drive to school | Senior).

Solution:

The conditional probability is defined as:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Using this formula, we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}                      ...(i)

From the given two way table, we get

Drive to school and senior = 25

Senior = 25+5+5

           = 35

Total = 2+25+3+13+20+2+25+5+5

         = 100

Now,

P(\text{Drive to school and senior})=\dfrac{25}{100}

P(\text{Senior})=\dfrac{35}{100}

Substituting these values in (i), we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}

P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}

P(\text{Drive to school }|\text{ Senior})=0.7142857

P(\text{Drive to school }|\text{ Senior})\approx 0.71

Therefore, the required conditional probability is 0.71.

5 0
3 years ago
Read 2 more answers
If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in
monitta

x = \frac{-11}{3}

<u>Step-by-step explanation:</u>

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

⇒ 2x - 8 = 5x + 3

⇒ (2x - 8)-2x = (5x + 3)-2x { subtract 2x from both side }

⇒ 0 - 8 = 5x-2x + 3

⇒ - 8 = 3x + 3

⇒ - 8 -3= 3x + 3-3 { subtract 3 from both sides }

⇒ - 11 = 3x + 0

⇒ - 11 = 3x

⇒ \frac{-11}{3}  = \frac{3}{3} x { divide 3 from both sides }

⇒ x = \frac{-11}{3}

3 0
3 years ago
On section AB, whose length is 192 cm, take the point C so that AC: CB = 1: 3. The point D is taken on the AC section so that CD
jasenka [17]

Answer:

  • 112 cm

Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

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<u>Find CB:</u>

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<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

<u>Find the length of AD:</u>

  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

  • m(AD) = 36/2 = 18 cm

<u>Find the midpoint of CB:</u>

  • m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm

<u>Find the distance between the midpoints:</u>

  • x = 130 - 18 = 112 cm
4 0
3 years ago
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