Step-by-step explanation:
=> 45 + 4x > 125
=> 4x > 125 - 45
=> 4x > 30
=> x > 30/4
=> x > 7.5
Answer:
A Poisson distribution, with λ=5.3
Step-by-step explanation:
For this type of random variables, a Poisson distribution is the most adecuate.
If the number of occurrences in ten minutes is 5.3, we can define the parameter λ=5.3 and the probability function as:
Answer:
x = 900 or 1.50 * x = 1,350 (Though I advise you to use x = 900)
Step-by-step explanation:
Divide 1,350 by 1.50 to see that they need to sell exactly 900 bars. We can fact check by using a calculator to do the equation 1.50 * 900 = 1,350.
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
The answer is -1
= 1 ÷
<span>the trig unit circle
</span>
=
= -1
Remember,
= 1 ÷
= 1 ÷ -1
= -1
