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Musya8 [376]
2 years ago
13

• A pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the p

robability of failure of each tube during some interval of time is 0.04, what is the corresponding probability of failure of the apparatus?
Mathematics
1 answer:
german2 years ago
7 0

Answer:

Therefore, the probability is P=0.000064.

Step-by-step explanation:

We know that a  pressure control apparatus contains 3 electronic tubes. The apparatus will not work unless all tubes are operative. If the probability of failure of each tube during some interval of time is 0.04.

We calculate the  probability of failure of the apparatus.

We get:

P=0.04\cdot 0.04\cdot 0.04\\P=0.000064

Therefore, the probability is P=0.000064.

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What is the value of y?<br> y = <br><br> Find the following angle measures.<br> mJKM = °<br> mMKL
shusha [124]

Answer: ∠JKM = 106\textdegree and

 ∠JKM = 74\textdegree

Step-by-step explanation:

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So, 10y+6+8y-6=180\textdegree \\\\18y=180\textdegree \\\\y=\frac{180\textdegree}{18\textdegree}\\\\y=10\textdegree

∠JKM = 10\times 10+6=100+6=106\textdegree

and

∠MKL = 8\times 10-6=80-6=74\textdegree

8 0
2 years ago
Read 2 more answers
A hiker travels 3 km due east then 2 km on a bearing of 110°. Find: a) how far south the hiker is from the starting point Hint:
Brilliant_brown [7]

Answer:

A) 0.47 km

B) 4.88 km

C) 6.25°

Step-by-step explanation:

Please refer to the attached image for explanations

6 0
2 years ago
On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in
sveta [45]

Answer:

  C. (2, 6] hour jobs cost $100

Step-by-step explanation:

Let's consider each of these statements in view of the graph:

  1. A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.
  2. A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.
  3. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.
  4. Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.

3 0
2 years ago
Which equation represents the volume of a cone with the same base and height as the cylinder below? A cylinder with a height k a
Igoryamba

Answer: The correct answer is Volume Cone = one-third pi t squared k

Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.

The volume of a cylinder is given as;

Volume cylinder = pi x r squared x h (that is πr²h)

Also the volume of a cone is given as;

Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)

However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.

Therefore the volume of the cone should now be re-written as;

Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>

3 0
2 years ago
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How many solutions are there to the system of equations?
hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1

You can identify that:

m=0.8\\b=-1

Apply the same procedure with the second equation. Then:

-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1

You can identify that:

m=0.8\\b=1

The slopes of both lines are equal, therefore  the lines are parallel and the system has NO SOLUTION.

7 0
2 years ago
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