Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
The correct answer is the first option, which is:
A=G^2/H; H=G^2/A
The explanation is shown below:
1. To solve the exercise shown in the figure attached, you must apply the proccedure shown below:
2. You have the following equation to calculate G:
G=√AH
3. Now, to find the formula to calculate A, you must clear the A, as below:
G^2=(√AH)^2
G^2=AH
A=G^2/H
4. Then, you must apply the same proccedure to find the formula for calculate H, as following:
G^2=(√AH)^2
G^2=AH
H=G^2/A
<span>(x + 5 1/2) 0.75= 5/8<span>
Convert 0.75 into a fraction
</span></span><span>(x + 5 1/2) 3/4= 5/8
Use distributive property
3/4x + 5 1/2*3/4 = 5/8
Convert 5 1/2 into improper fraction
3/4x + 11/2*3/4 = 5/8
Multiply
3/4x + 33/8 = 5/8
Subtract 33/8 from both sides
3/4x = 5/8 - 33/8
Subtract the numerators but NOT the denominators
3/4x = -28/8
Divide 3/4 on both sides
x = -28/8 divided by 3/4
Convert the division sign to multiplication while flipping the fraction 3/4 to 4/3
x = -28/8 * 4/3
Multiply
Final Answer: x = -112/24 or -4 16/24 or -4 4/6 or -4 2/3 *All answers are equivalent to each other.</span>
Answer:
Step-by-step explanation:
1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.
2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.
3. Next, form an equation using these variables.
x + 1.6x + (1.4 x 1.6x) = 121
x + 1.6x + 2.24x = 121
4.84x = 121
x = 25
4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.
<u>Antony</u>: x = 25 stamps
<u>Carl:</u> 1.6x = 40 stamps
<u>Emily</u>: 1.4 times 1.6x = 56 stamps
By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!
