A calaculator or what number?
Answer:
Length = 12, width = 5
Step-by-step explanation:
The diagonal is the hypotenuse of a rectangular triangle.
Equation: d^2 = l^2 + w^2
35^2 = (x + 7)^2 + x^2
169 = (x + 7)(x + 7) + x^2
169 = x^2 + 7x + 7x + 49 + x^2
169 = 2x^2 + 14x + 49
subtract 169 from both sides
0 = 2x^2 + 14x - 120
divide by 2
0 = x^2 + 7x - 60
factor, to find the numbers just think of what number multiplied by what number would equal -60 and have the same numbers added together equals 7. 12 times 5 is 60 but it has to be -60, and 12 - 5 equals 7 so the numbers would be 12 and -5
0 = (x + 12)(x -5)
x = -12, and x = 5, but u can only use positive solutions so length equals 12 and width is 5
This question not incomplete
Complete Question
The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviation of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to? Assuming percentile = 95%
Answer:
0.125
Step-by-step explanation:
Assuming for 95%
z score for 95th percentile = 1.645
We find the Probability using z table.
P(z = 1.645) = P( x ≤ 7000)
= P(x<Z) = 0.95
After 7000 hours = P > 7000
= 1 - P(x < 7000)
= 1 - 0.95
= 0.05
If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is calculated as:
(P > 7000)³
(0.05)³ = 0.125
3/5 or 60% of the tank will be filled in an hour.
72/9 is equivalent to 8/1
so, option A is your answer.