The equation of the line shown is y = 1/3x - 1
Because the slope is rise/run and in this case you rise 1 and run 3. And the y-intercept is -1 because that is where the line crosses the y-axis.
hope this helps :)
A+bi is the form of a complex number. a is on the x axis, bi is on the y axis:
3-4i ( x positive, y negative) Q4
-1-3i (both x, y negative) Q3
4+i ( both x, y positive) Q1
-2+2i (x neg, y pos) Q3
Answer:
- P(≥1 working) = 0.9936
- She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.
Step-by-step explanation:
1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...
... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936
2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.
If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.
This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.
_____
My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)
Answer:
445.5 minutes
or 7 hours 25 minutes 30 seconds
Step-by-step explanation:
We can use ratio's to solve
50 ft^2 495 ft^2
-------------- = ------------
45 minutes x minutes
Using cross products
50x = 45*495
50x=22275
Divide each side by 50
50x/50 = 22275/50
x =445.5
445.5 minutes
If we want to convert to hours and minutes, divide by 60
7 hours is 420 minutes
445.5 -420 = 25.5
7 hours 25 minutes
.5 minutes is 30 seconds
7 hours 25 minutes 30 seconds
