<span>You just have to break each number with its value.
30+2+.04+.003</span>
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma(
)
E(X)= 
= 
=6 weeks
V(x)= 
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, , , False)
P(
)
P(
)
P(
)
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
To learn more about probability click here:
brainly.com/question/11234923
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The formula to calculate work done is -
Work done ( in joule, J) = Force (in Newton) X Distance (in meters)
So, we will use the formula to calculate work done,
Here, force is given as = 7 newtons
Distance is given as = 3 meters
So, work done will be -
Work done ( in joule, J) = 7 Newtons X 3 Meters
<u>Work done ( in joule, J) = 21 J (in joule)</u>
All you need to do is plug in the points!
Here we go:
3(0)- 4(-5)-8
If it equals 12, then it is a point and an answer.
3(0)- 4(-5)-8= 12
(0,-5) is a point!
Next one:
3(4)-4(-2)-8
12+8-8
That equals twelve. (4,-2) is an answer as well!
I am going to quickly plug in the rest of the points, since I think you have the idea.
<span>(8,2) 3(8)-4(2)-8= 8 This is not an answer.
(-16,-17) 3(-16)-4(-17)-8 = 12 This is answer.
(-1,-8) 3 (-1)-4(-8)-8= 21 This is not an answer.
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.
</span>
I hope this helped you!
Brainliest answer is always appreciated!
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
