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2 years ago

Evaluate the following integral or state that it diverges. *integral 0 to 1 (ln x)do

Mathematics

1 answer:

dolphi86 [110]2 years ago

6 0

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

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Round 18.194 to the place named tenth hundred ones

Novay_Z [31]

tenth place: 18.2

hundredth place: 18.19

one place: 18

tens place: 20

hundred place: 0

I didn't know which one you needed so I did a bunch

6 0

3 years ago

Which of the following equations represents a line that is parallel to the line 3x - 2y = 12

sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0

2 years ago

The function f(x) and g(x) are graphed of the set of aces below. for which value of x is f(x)≠g(x)

aleksklad [387]

Answer:

$f(x)\neq g(x)$

$when ~x=3$

$So, the ~third~ option~is ~your~ answer$

<h3>-----------------------</h3><h3>hope it helps...</h3><h3>have a great day!!</h3>

6 0

3 years ago

Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

3 years ago

A park ranger observed the number and ages of children who visited the park on a Friday morning. The results of his observations

aleksandr82 [10.1K]

ANSWER

The number of children between the ages of 9 and 15 who visited the park is
$20$

EXPLANATION

The number of children between the ages of 9 and 15 who visited the park are those within the age group 9 to 12 and 12 to 15.

We can from the graph that, the height of the bar that corresponds to the age group 9 to 12

$= 14$
and the height of the bar that corresponds to the age group 12 to 15

$= 6$

The sum of the two frequencies

$= 14 + 6 = 20$

8 0

2 years ago