(-9,7), (6,2) write an equation in point-slope form of the line that passes through the given points, then write the equation in
1 answer:
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Answer:
The number is students
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
The sample size is n = 2000
percentage of the would you expect to have a score between 250 and 305 is mathematically represented as
Generally
So
From the z table the value of
and
The percentage is
The number of students that will get this score is
We have a rectangle with a diagonal included. That means we have to use Pythagorean's Theorem to find the missing dimensions. We start with the width as w. The length is 31 more than twice the width, so the length is 2w+31. The hypotenuse (diagonal) is 2 more than the length, so the diagonal measures 2w+33. In a right triangle, the hypotenuse is always the longest side, so we set up Pythagorean's Theorem using the bolded values as such: . Distributing by multiplying we simplify to
. We need to solve for w. Once we do that we can use that value to find the length. What's nice is that the 4w^2 terms cancel each other out. So when we combine like terms and get them all on one side of the equals sign to factor we have
. The 2 numbers that add up to -8 and multiply to -128 are 16 and -8. So the width is either 16 inches or the width is -8 inches. The 2 things in math that will never EVER be negative are time and distance/length. So -8 is out. The width is 16 inches. That means that the length is 2(16)+31, which is 63 inches. There you go!