Which line has an equation of y=-5x+4 in slope-intercept form?
1 answer:
Answer:
Last choice.
Step-by-step explanation:
To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.
Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.
We can test using the slope formula and plugging in values. When the slope formula:
We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:
Choice 2:
-24 = -5(4) + 4
-24 = -20 + 4
-24 ≠ -16
Choice 4:
-16 = -5(4) + 4
-16 = -20 + 4
-16 = -16
Therefore, choice 4 is correct!
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Answer:
The height of the function for any number of pounds between 0 and 100 is 0.01.
Step-by-step explanation:
As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.
To calculate the height h of the probability density function, we can write:
If we solved this integration and rearrange
The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.