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GrogVix [38]
3 years ago
6

The two right triangles on the graph below are similar.

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

B is the correct chose

Step-by-step explanation:

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The reliability of a piece of equipment is frequently defined to be the probability, P, that the equipment performs its intended
Sergio [31]

Answer:

a. y=1

b. Mean= 0.5; variance=0.5

c. In the first instance, the probability that p > 0.95 would mean that we are looking for the area of the rectangle with a height of 1 between 0.95 and 1, which implies it has length 0.05.

Therefore, the area is length × height, which is 0.05 ×1 = 0.05.

Second case, the probability that p is less than 0.95 would then be one minus the probability that p is greater than 0.95, so 1 - 0.05 = 0.95

D. a horizontal line at 20 between 0.90 and 0.95, and will be zero outside of this range.

Step-by-step explanation:

With the use of probability distribution, the probability that the equipment performs has a uniform distribution with minimum 0 and maximum 1.

a) The graph of the probability distribution will be 0 outside of the range of 0 to 1, so therefore y = 0. Inside the interval from 0 to 1, it will be constant (which is a horizontal line) with height 1÷(1-0) = 1, therefore y = 1.

b) The mean of the uniform is (maximum+minimum)/2.

Therefore, (1+0)/2 = 1/2 or 0.5.

The variance of the uniform is

(maximum-minimum)^2/12,

so (1-0)^2/12 = 1/12.

c) Since the probability distribution is rectangular, you can find probabilities by recalling the area of a rectangle which is: area = length × breadth.

In the first instance, the probability that p > 0.95 would mean that we are looking for the area of the rectangle with a height of 1 between 0.95 and 1, which implies it has length 0.05.

Therefore, the area is length × breadth, which is 0.05 ×1 = 0.05.

In the second case, the probability that p is less than 0.95 would then be one minus the probability that p is greater than 0.95, so 1 - 0.05 = 0.95.

d) If it is known that p is between 0.90 and 0.95, without the value, then we would assume that p has a uniform distribution between 0.90 and 0.95 since p originally had a uniform distribution.

In this case,

f(p) =

1/(0.95-0.90) = 20, 0.90 < p < 0.95,

0, otherwise.

In a nutshell, this function will have a horizontal line at 20 between 0.90 and 0.95, and will be zero outside of this range.

6 0
3 years ago
A regular pyramid has a regular polygon base and a __over the center of the base
Rufina [12.5K]

Answer: Vertex

Step-by-step explanation:

To solve this exercise you must keep on mind the definitions shown below:

1. By definition, a regular pyramid is a right pyramid whose base is a regular polygon.

2. By definition, a regular polygon is a polygon whose sides have equal lenghts.

3. By definition the apex (which is the vertex at the tip of the pyramid) of a right pyramid lies directly above the center of the base.

Therefore, keeping the above on mind, you can conclude that:

A regular pyramid has a regular polygon base and a Vertex over the center of the base.

4 0
3 years ago
A paper plate has a diameter of 35 yards. What is the circumference of the plate?
mihalych1998 [28]
Pi is multiplied by diameter so,
35 x pi= 109.995
tell me how many decimal places should the finals should be so that I can round off
6 0
3 years ago
131.12 divided by 44
Arte-miy333 [17]
Bjsjjdsjjsjsjdjdhddyueieieejkedndnndnfnfnfnf
6 0
3 years ago
Please Hurry!!
r-ruslan [8.4K]
The answer is B. y = -1/5x +1/2.

EXPLANATION

First solve for the slope:
m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{0 - \frac{3}{5} }{ \frac{1}{2} - \frac{1}{5} } \\ m = - \frac{1}{5}
After finding the slope, look for the linear equation with the same value of m (parallel equation).
4 0
3 years ago
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