Answer:
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Answer: A. 9567m
i hope i'm correct let me know if i'm wrong
Answer:
<u>Yes, it is 30</u>
Step-by-step explanation:
And yes, you thought it through correctly. 6(X-Y) = 6*5
6(X-Y) = <u>30</u>
Answer:
Step-by-step explanation:
The expected value for a discrete variable is calculated as:
Where 
and 
are the values that the variable can take and 
and 
are their respective probabilities.
So, a player can win 2 dollars or looses 1 dollar, it means that is equal to 2 and is equal to -1.
Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.
If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:
Where 
So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.
Therefore, the probability that a player get at least two times number 6, is calculated as:
On the other hand, the probability that a player don't get at least two times number 6, is calculated as:
Finally, the expected value of the amount that the player wins is:
It means that he can expect to loses 0.2101 dollars.
Answer:
y=1/6x-6
Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)
To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.
It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:
Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)
Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.
The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places
So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.
Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)
And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.
Awesome! We found the slope, which means so far, the equation of line T looks like this:
y=1/6x+b
All we need now is the y-intercept, which is “b” in the equation y=mx+b.
To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.
y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b
Aha! There we have it, -6 is the y-intercept of line T.
Now, we have completed our equation:
y=1/6x-6
I hope this helps! Please comment if you have any questions.
