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:
- $17,500 at 8%
- $17,500 at 14%
Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
Answer:
JH = 8, GH = 12, and GJ = 10.6
Step-by-step explanation:
According to Midsegment Theorem, a segment that connects the midpoints of two sides of a triangle is half the length of the third side.
GH = ½ DE
JH = ½ DF
GJ = ½ EF
DE is 24, so GH = 12.
JH is half of DF. Since G is the midpoint of DF, DG is also half of DF. So JH = DG = 8.
GJ is half of EF. Since H is the midpoint of EF, HE is also half of EF. So GJ = HE = 10.6.
Answer:
3,8
Step-by-step explanation:
