Answer: y = 2/3 x + b
Step-by-step explanation:
If a line has a slope of 2/3, then the slope intercept form equation of that line will be: y = 2/3 x + b where b is the y-intercept.
The standard deviation of what? Percentiles from any normal distribution look the same, just like the unit normal, so you can't really determine the standard deviation of the original scores. You can determine a z score from a percentile. That tells us the number of standard deviations, positive or negative, a given score is away from the mean score. It's a normalized test result.
Your percentile is (a hundred times) the probability that another score is less than your score. We have a normal distribution, so that probability is the integral of the standard normal from negative infinity to our normalized score.
Let's call the percentile rank
, already scaled between zero and 1.
corresponds to a z score
because the fiftieth percentile means we got an exactly average score, 0 standard deviations away from the mean.
We know 68% of the probability will be between -1 and +1 standard deviation. So
corresponds to
and
corresponds to
Similarly, 95% of the probability will be between -2 and +2 standard deviations. So
corresponds to
and
corresponds to
That's about the list I can do off the top of my head. I think three standard deviations is 99.7%. For the rest we just consult a z table or integrated normal table. We find p in the body of the table (maybe |.5-p| depending on the table) and then the column headings tell us our z score.
In this modern age, your computer can do this for you quickly
52 = (2*W - 5) * W
52 = 2*W^2 - 5*W
0 = 2*W^2 - 5*W - 52
0 = (2W - 13)*(W + 4)
2W - 13 = 0 or W + 4 = 0
W = 13/2 or W = -4
Width cannot be negative so discard W = -4
W = 13/2 L = 2*(13/2) - 5 = 13 - 5 = 8
Answer:
x = 7
Step-by-step explanation:
x-7 = 0
add 7 on both sides - X-7+7 = 0+7
x=7
Mark me brainliest please
Answer: 3.82 miles
Step-by-step explanation:
According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.
So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire , which is also the hypotenuse.
Finally: