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Klio2033 [76]
4 years ago
10

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

Mathematics
1 answer:
vovikov84 [41]4 years ago
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]
<span>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 </span>≤<span> 10
2x</span>≤10+6
x≤8<span>

-(</span>2x-6) ≤ 10<span>
2x-6 </span>≥<span> -10
2x</span>≥-10+6
x≥-4
<span>
The graph of the inequality would be: </span> 
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 <em>h </em>and the vertical shift depends on the value of <em>k</em><u>.</u>

f(x)=(x-h)^3 indicates that the function if shifted to the right <em>h </em> units.

f(x)=(x+h)^3 indicates that the  function if shifted to the left <em>h </em> units.

f(x)=f(x)-k indicates that the  function if shifted  down <em>k </em> units.

f(x)=f(x)+k indicates that the  function if shifted up <em>k </em> units.

Then:

If <em>h </em>is positive, the graph will shift to the right.

If <em>k </em>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
Read 2 more answers
The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
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