If ? has an exponential dishibution with parameter .\, what is the median of ??

1 answer:

7 0

The median of a random variable X is a number µ that satisﬁes

Find the median of the exponential random variable with parameter λ.

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(02.06 MC)

Paul [167]

The inequality |2x − 6| less than or equal to 10 can be expressed as two form like this to get two value of x
2x-6 ≤ 10
2x≤10+6
x≤8

-(2x-6) ≤ 10
2x-6 ≥ -10
2x≥-10+6
x≥-4

The graph of the inequality would be: 
x≤8 and x≥-4
or
-4≤x≤8

5 0

4 years ago

The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f

OLEGan [10]

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

$f(x)=(x-h)^3$ indicates that the function if shifted to the right h units.

$f(x)=(x+h)^3$ indicates that the function if shifted to the left h units.

$f(x)=f(x)-k$ indicates that the function if shifted down k units.

$f(x)=f(x)+k$ indicates that the function if shifted up k units.

Then:

If h is positive, the graph will shift to the right.

If k is negative, the graph will shift down.

As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

$g(x)=(x-4)^3-2$

Where:

$h=4\\k=-2$

7 0

3 years ago

The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year

dezoksy [38]

We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)

Or
f(x) = a0(r)^(x - 1)

Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714

Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)

3 0

4 years ago

Read 2 more answers

564 in scientific notation

MAXImum [283]

Answer: 5.64 *10^2

Step-by-step explanation:

3 0

3 years ago

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]