Answer:
a) ![P(X>3.0)=1-P(X \leq 3.0)= 1- [1- e^{-\frac{1}{2.4} 3.0}]=e^{-\frac{1}{2.4} 3.0}=0.287](https://tex.z-dn.net/?f=P%28X%3E3.0%29%3D1-P%28X%20%5Cleq%203.0%29%3D%201-%20%5B1-%20e%5E%7B-%5Cfrac%7B1%7D%7B2.4%7D%203.0%7D%5D%3De%5E%7B-%5Cfrac%7B1%7D%7B2.4%7D%203.0%7D%3D0.287)
b) 
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter 
represent the average ocurrence rate per unit of time.
The exponential distribution is useful when we want to describ the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time btween two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:
We can express in terms of the mean 
And the cumulative function would be given by the complement rule like this:
Solution for the problem
For this case we have that X the random variable that represent the magnitude of earthquakes recorded in a region of North America, we know that the distribution is given by:
a) Find theprobability that an earthquake striking this region will a exceed 3.0 on the Richter scale
So for this case we want this probability:
b) fall between 2.0 and 3.0 on the Richter scale.
For this case we want this probability:
And replacing we have this:
8 of 19 players said that they had 2 or more siblings.
8 out of 19 is equal to what out of 570
8/19 = x/570
This proportion can be written in different ways.
8/19 = x/570 cross multiplies to 19*x = 8*570
The task is to find a proportion among the answer options that cross multiplies to the same equation.
Option C is x/570 = 8/19. That cross multiplies to 19*x = 8*570 and is the correct answer.
Answer:
T = 88 -(7/2000)A
Step-by-step explanation:
The table values have a constant difference of +2000 ft and -7 degrees, so the slope of the linear equation is -7/2000 degrees per ft. The temperature is 88 at an altitude of 0, so we can write the requested equation in slope-intercept form as ...
T = 88 -(7/2000)A
_____
The slope-intercept form of the equation for a line is ...
y = mx + b
where m is the slope and b is the y-intercept. In this equation, y is the dependent variable and x is the independent variable. For our temperature equation, the dependent variable is T, and the independent variable is A.
Answer:
$90,000
Step-by-step explanation:
We can can use substitution for this. First, we need to create two separate problems that represent this situation. The house and the lot together cost 120000, so we can make the equation h+l=120000. We also know that the house is worth 3 lots, so we can make the equation h=3l. Because h=3l, we can substitute for h, making the equation 3l+l=120000, or 4l=120000. To isolate l, we have to divide both sides by 4. If we do that, we get l=30000. Now, we have to substitute to find h. Our new equation is h+30000=120000. To isolate h, we have to subtract 30000 from each side. If we do this, we get h=90000. That's our answer.
Hope this helps!
I believe it’s 5x
The product would be 5 • x = 5x
