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Flura [38]
2 years ago
12

Simplify the following inequality: 9x - 7i > 3(3x -7u)

Mathematics
1 answer:
bulgar [2K]2 years ago
7 0
The answer fam is......-7i <span>> -21u

</span>
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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
Write 240 and 1500 as products of their prime factor
Marina CMI [18]
240 = 2 × 120
120 = 2 × 60
60 = 2 × 30
30 = 2 × 15
15 = 3 × 5
The 2, 2, 2, 2, 3 and 5 are all the prime factors of 240. So, 2^4 × 3 × 5

1500 = 3 × 500
500 = 5 × 100
100 = 5 × 20
20= 5 × 4
4 = 2 × 2
The 3, 5, 5, 5, 2 and 2 are all the prime factors of 1500. So, 2² + 3 + 5³
4 0
3 years ago
Read 2 more answers
Solve 5× - 4 - × = 0 what is the answer
Natasha2012 [34]

Answer:

x = 1

Step-by-step explanation:

Add 4 from both sides which you add to the zero. Then, combine like terms, 5x - 1x which is 4x. Divide 4 from both sides and it equals 1.

5 0
3 years ago
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This is the one!!!!!!!!!!!
sukhopar [10]
All you have to do is move the denominator on the other side, by multiplying.

a-10
------- = -9  
20 

multiply 20 x -9
= -180

then it becomes a-10=-180
                             +10  +10
a=-170
4 0
3 years ago
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The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperat
lyudmila [28]

Answer:

68F

Step-by-step explanation:

6 0
3 years ago
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