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notsponge [240]
2 years ago
10

If z is a positive integer, does 4+3(2z-5) represent a number that is greater than ,less than,or equal to 2(3z-4)?

Mathematics
1 answer:
Elan Coil [88]2 years ago
5 0

Answer:

2(3Z-4)

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
How do you solve for 2y=x+3
andrew-mc [135]
You divide everything by 2.
Your answer is
Y=1/2 + 3/2
4 0
3 years ago
Read 2 more answers
Find the measures of the supplementary angles that satisfy each case.
seropon [69]

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

x + y = 180°.

It is given that x = y + 45°.

So x + y = 180°

substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

2y + 45° = 180°

collecting like terms, we have

2y = 180° - 45°

2y = 135°

dividing through by 2, we have

y = 135°/2

y = 67.5°

Since y = 67.5°

then x = y + 45°

x = 67.5° + 45°

x = 107.5°

3 0
3 years ago
Determine the y intercept
jekas [21]

Answer:

y intercept is 4

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP SOON! ALSO INCLUDE A SMALL EXPLANATION as well as the answer ! I am rewarding 100points if you answer quickly
alina1380 [7]

Answer:

the answer is B

f(x)=-2x+3

Step-by-step explanation:

to get the -2x I did --->

pick two points I used (0,3) and (1,1) and used the equation \frac{y2-y1}{x2-x1}

where y2 would be 1 and y1 would be 3

and where x2 would be 1 and x1 would be 0

so you would put the numbers in the equation which would look like\frac{1-3}{1-0}=\frac{-2}{1} and equal -2 which would be -2x in the answer

And the +3 is the y-intercept

4 0
2 years ago
Read 2 more answers
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