The company installs 5000 light bulbs with an average of 500 hours for each bulb. The standard deviation of 100 hours and distribution approximated by a normal curve. The percentage of bulbs that can be expected to last the period of time of less than 690 hours is 97.1%. This will make the answer to be C.
Answer:
2.1
Step-by-step explanation:
y/sinY = z/sins
y/sin(15) = 8/sin(94)
y = sin(15) × 8/sin(94)
y = 2.075608439
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According to the statement of the question, we can assemble the following system of equation
X = 7 + 3Y i
X + Y = 75 ii
So, multiplying ii by -1 and adding with i
X = 7 + 3Y
- X - Y = - 75
- Y = 7 + 3Y - 75
4Y = 68
Y = 17
for X we will use ii:
X + Y = 75
X + 17 = 75
X = 58
The smaller number is: 17
As you can see, this is easily graphed on desmos.com. You can also graph it using your graphing calculator.
The solution is (x, y) = (-2/5, 1/5)