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3 years ago

Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x >2.5 | x ≤ 4).

Mathematics

1 answer:

Rainbow [258]3 years ago

8 0

Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.

The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375

Answer: 0.375

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John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

oee [108]

Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

$A= l\times w$

We just have to substitute
$l=62.5$ and $w= 45.3$ into the given formula and evaluate.

This implies that;

$A= 62.5\times 45.3$

This gives the area of the rectangular-shaped field to be;

$A= 2831.25$ square yards.

Now for the perimeter, we use the formula

$P=2w +2l$

Or

$P=2(w +l)$

Substituting the values for the length and width gives,

$P=2(62.5+45.3)$

$\Rightarrow P=2(107.8)$

$\Rightarrow P=215.6$

Hence the perimeter of the rectangular shaped field is 215.6 yards.

8 0

3 years ago

Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$

So, the roots are:

$x_ {1} = 0\\x_ {2} = 3$

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

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3 years ago

Read 2 more answers

Will give brainlest answer pls help!

mojhsa [17]

You can use 2 step equations to solve real-world problems by assessing the situation, trial and error, As in for example;
if you cannot open a twist off bottle cap by turning it to the right. You have two options twisted to the left to loosen or turn it to the right and not open it”

“ Lefty Lucy righty tightly”

Or if you are married and your husband cheats on you you can do one or two of the following stay or a go

For example stay and be an idiot or go and love yourself and take everything he has

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3 years ago

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e-lub [12.9K]

Answer:

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Step-by-step explanation: