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Eddi Din [679]
3 years ago
15

Differentiate y= ln l 1+t-t^3 l

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
Y = ln |1 + t - t^3| = (1 - 3t^2)/(1 + t - t^3)
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These data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. Accordi
CaHeK987 [17]

Answer:

First part

P(X< 3.4-0.6*3.1) = P(X

And for this case we can use the z score formula given by:

z = \frac{x- \mu}{\sigma}

And using this formula we got:

P(X

And we can use the normal standard table or excel and we got:

P(Z

Second part

For the other part of the question we want to find the following probability:

P(-1.715

And using the score we got:

P(-1.715

And we can find this probability with this difference:

P(-1.65< Z< 1.210)=P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the data of a population, and for this case we know the distribution for X is given by:

X \sim N(3.4,3.1)  

Where \mu=3.4 and \sigma=3.1

First part

And for this case we want this probability:

P(X< 3.4-0.6*3.1) = P(X

And for this case we can use the z score formula given by:

z = \frac{x- \mu}{\sigma}

And using this formula we got:

P(X

And we can use the normal standard table or excel and we got:

P(Z

Second part

For the other part of the question we want to find the following probability:

P(-1.715

And using the score we got:

P(-1.715

And we can find this probability with this difference:

P(-1.65< Z< 1.210)=P(Z

8 0
3 years ago
Which of these strategies would eliminate in the system of equations?<br> x-2y=11<br> 5x+3y=-11
fredd [130]

Answer:b

Step-by-step explanation:If you multiply the top equation by -5 then you will have -5 +5, which is 0, therefore you are eliminating the x value

6 0
3 years ago
Read 2 more answers
What are the roots of the quadratic equation below 3x2+15x-5=0
fomenos

Answer:

<h2>A</h2><h2 />

Step-by-step explanation:

3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A

8 0
3 years ago
The volume of cube x divided by the volume of cube y is 27. What is the side length of cube x divided by side length of cube y
Svetach [21]
If the volume of cube x divided by the volume of cube y is 27, then <span>he side length of cube x divided by side length of cube y would be 3. This is computed by solving the cube root of 27, since the side of the cube was multiplied thrice to get the volume so when geeting the side of the cube it is best to have the number be in cube root form.</span>
4 0
3 years ago
Find the distance between the two points.
Alecsey [184]

Answer:

The answer is

<h2>\sqrt{17}  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2 , 3) and ( 2 , 4 )

The distance between them is

d =  \sqrt{ ({ - 2 - 2})^{2} +  ({ 3 - 4})^{2}  }  \\  =  \sqrt{ ({ - 4})^{2} + ( { - 1})^{2}  }  \\  =  \sqrt{16 + 1}  \\  =  \sqrt{17}  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{17}  \:  \:  \: units

Hope this helps you

7 0
3 years ago
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