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Aleks04 [339]
3 years ago
6

What is the value of e use in solving logarithm?

Mathematics
2 answers:
irina [24]3 years ago
7 0

Answer:

2.718 28...

Step-by-step explanation:

the value of e use in solving logarithm is 2.718

zhenek [66]3 years ago
4 0

Answer:

Its value is e = 2.718 281 828 . Apart from logarithms to base 10 which we saw in the last section, we can also have logarithms to base e. These are called natural logarithms.

hope this helps :)

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What is the intersection of the three sets: A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}?
marysya [2.9K]

ITS A. 1 AND 5 BECAUSE 1 AND 5 ARE IN ALL 3 SETS

7 0
3 years ago
In a right triangle, the ____________ of an angle can be found by dividing the length of the opposite leg by the length of the t
damaskus [11]
The correct answer for the completion exercise shown above is: sine.

 
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3 0
3 years ago
According to a​ survey, 65​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed
monitta

Answer:

a) P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421

b) P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714

P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502

P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319

And adding these values we got:

P(36 \leq X \leq 38)= 0.1535

c) We can find the expected value given by:

E(X) = np =50*0.65 = 32.5

And the standard deviation would be:

\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

\mu -2\sigma = 32.5- 2*3.373 = 25.75

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

X \sim Binom(n=50, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

We want this probability:

P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421

Part b

We want this probability:

P(36 \leq X \leq 38)

We can find the individual probabilities:

P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714

P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502

P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319

And adding these values we got:

P(36 \leq X \leq 38)= 0.1535

Part c

We can find the expected value given by:

E(X) = np =50*0.65 = 32.5

And the standard deviation would be:

\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

\mu -2\sigma = 32.5- 2*3.373 = 25.75

And then we can consider a value of 18 as unusual lower for this case.

6 0
3 years ago
Find the points on the curve y = 2x3 + 3x2 − 12x + 7 where the tangent line is horizontal.
kramer
Try this solution.Answers are marked by green.
More details are on the attached graph.

6 0
3 years ago
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Ivenika [448]

Answer:

x=30

Step-by-step explanation:

90+130+x+10+x+x+x=360

230+3x=360

3x=90

x=30

5 0
3 years ago
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