Answer:
Step-by-step explanation:
y=mx+b where m=slope and b=y intercept
m=(y2-y1)/(x2-x1)
m=(-2-4)/(2+1)
m=-2 so far we have the slope
y=-2x+b, using point (2,-2) we can solve for b, the y intercept
-2=-2(2)+b
-2=-4+b
2=b so we have our line
y=-2x+2, slope is -2 and y intercept is 2
Answer:
<h3>The event
denotes the complement of event A.</h3><h3>The value of
is 0.001</h3>
Step-by-step explanation:
Given that A denotes some event .
And also given that P(A)=0.999
<h3>To find the value of
:</h3>
Here the event denotes the complement of event A Therefore contains all the events that does not occur in A.
We know that the total probability is 1
So we have that
Hence the complement of event A is 
<h3>Therefore the value is
</h3>
Answers:
- Discrete
- Continuous
- Discrete
- Continuous
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Explanations:
- This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
- This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
- This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
- This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.
So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.
First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour.
Answer:
12 * 10 ^ 7
Step-by-step explanation:
3 * 10 ^ 2 * 4 * 10 ^5
= 12 * 10^ 2 + 5
= 12 * 10 ^ 7
Hope it will help :)
