Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180°
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Answer:
The probability that a randomly chosen light bulb will last less than 900 hours is 0.1587.
Step-by-step explanation:
The life span of these light bulbs is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours
Mean =
Standard deviation =
We are supposed to find the probability that a randomly chosen light bulb will last less than 900 hours.i.e. P(x<900)
So,
Z=-1
P(x<900)=P(z<-1)=0.1587
Hence the probability that a randomly chosen light bulb will last less than 900 hours is 0.1587.
Answer:
Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.
Step-by-step explanation:
Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.
He wants a supplemental income of$11,400 a year.
Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.
p = principle , r = rate of interest and t = time
The interest earns at 9% per year=
The interest earns at 4% per year=
According to the problem,
Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.