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borishaifa [10]
3 years ago
6

Suppose the time to process a loan application follows a uniform distribution over the range 77 to 1515 days. What is the probab

ility that a randomly selected loan application takes longer than 1414 days to process

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

The probability is approximately 0.2222

Step-by-step explanation:

The correct question is as follows;

Suppose the time to process a loan application follows a uniform distribution over the range 7 to 15 days. What is the probability that a randomly selected loan application takes longer than 14 days to process

Please check attachment for solution to question

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How would you go about finding the area and perimeter of a composite figure?
fgiga [73]

Explanation:

The area is the sum of the areas of the non-overlapping parts. The figure is called "composite" because it is composed of figures whose area formulas you know. Decompose the figure into those, find the area of each, then sum those areas to find the area of the whole.

<u>For example</u>

If the figure consists of a rectangle and semicircle, find the areas of each of those. Then add the areas together to find the total area.

__

Likewise, the perimeter of a composite figure will be the sum of the "exposed" perimeters of the parts. (Some edges of the figures making up the composition will be internal, so do not count toward the perimeter of the composite figure.)

<u>For example</u>

If the curved edge of the semicircle of the figure described in the example above is part of the perimeter, then its length will be half the circumference of a circle. If the straight edge of the semicircle is "internal" and not a part of the perimeter, its length (the diameter of the semicircle) may need to be partially or wholly subtracted from the perimeter of the rectangle, depending on the actual arrangement of the composite figure. In other words, add up the lengths of the edges that "show."

_____

<em>Additional comments</em>

In the above, we have described how to add the areas of parts of the figure. In some cases, it can be easier to identify a larger figure, or one that is more "complete", then subtract the areas of the parts that aren't there. For example, an L-shaped figure can be decomposed into two rectangles. Or it can be decomposed into a larger rectangle covering the entire outside dimensions, from which a smaller rectangle is subtracted to leave the L-shape. Depending on how dimensions are shown, one computation or the other may be easier.

Likewise, for the purposes of computing the perimeter, lines of the figure may be rearranged in any convenient way, as long as their total length doesn't change. The L-shape just described will have a perimeter exactly equal to the perimeter of the rectangle that encloses its outside dimensions, for example. You can see this if you move the two lines forming the concave edges.

Familiarity with area formulas can help with area. For example, you know that the area of a triangle is the same as that of a rectangle half the height. Likewise, the area of a trapezoid is the area of a rectangle with the same height and a width equal to the midline of the trapezoid.

5 0
3 years ago
Can you show all steps to simplify (3x-4)+(x+3)^2
ella [17]
<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x  + 5 ..........(combine like terms and simplify)

hope that  helps</span>
3 0
3 years ago
Helpppppppppppppppppp!
julia-pushkina [17]
Remember that the radicand (the area under the root sign) must be positive or zero for a radical with an even index (like the square root or fourth root, for example). This is because two numbers squared or to the fourth power, etc. cannot be negative, so there are no real solutions when the radicand is negative. We must restrict the domain of the square-root function.

If the domain has already been restricted to x \geq -11, we can work backwards to add 11 to both sides. We see that x+11 must be under the radicand, so the answer is A.
7 0
3 years ago
a psychologist contends that the number of facts of a certain type that are remembered after t hours is given by the following f
laiz [17]

Answer:

At t=1, Rate of Change=-36.86

At t=10 hours, Rate of Change =-0.0088

Step-by-step explanation:

The function which describes the number of facts of a certain type which are remembered after t hours is given as:

f(t)=\frac{85t}{99t-85}

To determine the Rate of Change at the given time, we first look for the derivative of f(t).

Applying quotient rule:

f^{'}(t)=\frac{-7225}{{\left( 85 - 99\,t\right) }^{2}}

At t=1

f^{'}(1)=\frac{-7225}{(85-99)^{2}}

=-36.86

At t=10 hours

f^{'}(10)=\frac{-7225}{(85-99(10))^{2}}

=-0.0088

4 0
3 years ago
Find the point, M, that divides segment AB into a ratio of 3:2 if A is at (0, 15) and B is at (20, 0).
Temka [501]

Answer:

(12, 6 )

Step-by-step explanation:

To find M use the Section formula

x_{M} = \frac{3(20)+2(0)}{3+2} = \frac{60}{5} = 12

y_{M} = \frac{3(0)+2(15)}{3+2} = \frac{30}{5} = 6

M = (12, 6 )

4 0
3 years ago
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