Answer:
The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 36 years
Standard Deviation, σ = 8 years
We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.03.
Calculation the value from standard normal z table, we have,
Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
Answer:
x = 3 or y = -3
Step-by-step explanation:
To find x, substitute y with a 0.
0=x-3. Minus the x on both sides and x will equal 3
To find y, substitute x with a 0.
y=0-3. 0-3 equals -3 which means that y will equal -3
That's a 33% increase.
I calculated this using the formula:
Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.
The answer is 4.85, rounded
