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4 years ago

In Exercise, expand the logarithmic expression. ln x/x + 1

Mathematics

1 answer:

kotegsom [21]4 years ago

6 0

Answer:

In x^2-x/x^2-1

Step-by-step explanation:

In x/x+1 = In x/x+1 × x-1/x-1 = In x(x-1)/(x+1)(x-1) = In x^2-x/x^2-1

You might be interested in

How can you translate words into equations?

Lyrx [107]

Answer:

try to look out for words such as more than, less than, twice as much, half as much, in addition to, took away something, etc

Step-by-step explanation:

hope this helped!

3 0

3 years ago

Tommy used a straightedge and a compass to construct a square inside circle C, as shown.

myrzilka [38]

Answer:

The correct options are;

A. Construct a perpendicular bisector of the diameter AB

D. Use the compass to draw a circle centered at point C

E. Use the compass to draw two arcs of the same radius centered at point C

F. Use the straightedge to draw diameter AB of the circle

G. Use the straightedge to draw lines connecting the endpoints of the two diameters

Step-by-step explanation:

To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.

The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.

5 0

3 years ago

(-8\9×1\-5)+(-8\9×-7\11)= -8\9×(1\-5×-7\11)

11111nata11111 [884]

$( \frac{ - 8}{9} \times \frac{1}{ - 5} ) + (\frac{ - 8}{9} \times \frac{ - 7}{11} ) = \frac{ - 8}{9} \times ( \frac{1}{ - 5 } \times \frac{ - 7}{11} )$

$\frac{ - 8}{9} = 0$

<h3>all like terms to be cancel </h3><h3>= -0.888888</h3>

please mark this answer as brainlist

8 0

3 years ago

Complete the following equation using <,>,or =.57%_1

nata0808 [166]

0.57 is less than 1

4 0

4 years ago

Suppose 85% of all students taking a beginning programming course fail to get their first program to run on first submission. Co

Margarita [4]

Answer:

a) $P(X=6)=(7C6)(0.85)^6 (1-0.85)^{7-6}=0.396$

b) $P(X\leq 6)$

And we can use the complement rule and we got:

$P(X\leq 6)= 1- P(X>6) = 1-P(X = 7)$

$P(X=7)=(7C7)(0.85)^7 (1-0.85)^{7-7}=0.321$

And replacing we got:

$P(x \leq 6) = 1-0.321= 0.679$

c) $P(X\geq 6)= P(X=6) +P(X=7) = 0.396+0.321= 0.717$

d) $E(X) = 7*0.85= 5.95$

e) $\sigma = \sqrt{7*0.85*(1-0.85)}=0.945$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.85)$

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:

$P(X=6)$

And using the probability mas function we got:

$P(X=6)=(7C6)(0.85)^6 (1-0.85)^{7-6}=0.396$

Part b

We want this probability:

$P(X\leq 6)$

And we can use the complement rule and we got:

$P(X\leq 6)= 1- P(X>6) = 1-P(X = 7)$

$P(X=7)=(7C7)(0.85)^7 (1-0.85)^{7-7}=0.321$

And replacing we got:

$P(x \leq 6) = 1-0.321= 0.679$

Part c

We want this probability:

$P(X\geq 6)= P(X=6) +P(X=7) = 0.396+0.321= 0.717$

Part d

the expected value is given by:

$E(X) = 7*0.85= 5.95$

Part e

The standard deviation is given by:

$\sigma = \sqrt{7*0.85*(1-0.85)}=0.945$

7 0

3 years ago