Answer:
lower than Amanda: 816 students
Step-by-step explanation:
An equivalent way in which to state this problem is: Find the area under the standard normal curve to the left (below) 940.
Most modern calculators have built in distribution functions.
In this case I entered the single command normalcdf(-1000,940, 850, 100)
and obtained 0.816.
In this particular situation, this means that 0.816(1000 students) scored lower than Amanda: 816 students.
Answer:
Step-by-step explanation:
If you treat (x+5) as a single value and (x-2) as the values of x and +2, you can distribute (x+5) to x and +2: ( (x-5)*x + (x-5)*2 ). Then you can treat x-5 as the values of x and -5 and distribute those to the numbers next to them: (×^2 - 5x) + (2x - 10). This results in x^2 -3x - 10.
Answer:
The other endpoint would be (-13, -11)
Step-by-step explanation:
In order to find the coordinates of an end point, we need to note that the midpoint would be the average of the two values. We'll call the unknown point P and we'll start by looking at the x values only.
(1 + Px)/2 = -6 ----> multiply by 2
1 + Px = -12 -----> subtract 1
Px = -13
Now we can do the same with the y values.
(7 + Py)/2 = -2 ----> multiply by 2
7 + Py = -4 ------> subtract 7
Py = -11
4/9 is smaller than 4/8 so the other fractions should be 4/8.____
This is what I did:
I used the fractions 4/8.5 and 4/8.4
Now we need to get rid of the decimal point for each of those fractions.
Find out what number you need to multiply the denominator so it is a whole number, not a decimal.
Take that number and multiply it by both numerator and denominator.
8.5 x 2 = 17
4/8.5 = (4*2)/(8.5*2) = 8/17 (This is your first fraction)
8.4 x 5 = 42
4/8.4 = (4*5)/(8.4*5) = 20/42 (This is your second fraction.
