6.68% of the students scored at least 19 points on this test while the 85 percentile has a test score of 24.08 points
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
P(x > 19) = P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
6.68% of the students scored at least 19 points on this test
b) 85 percentile corresponds to a z score of 1.04
The 85 percentile has a test score of 24.08
Find out more at: brainly.com/question/25012216
Answer:
y = -3x + 7
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x
c - intercept point of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 1 , 4) ( 2 , 1)
x1 = 1
y1 = 4
x2 = 2
y2 = 1
insert the values
m = 1 - 4 / 2 - 1
m = -3/1
m = -3
y = -3x + c
Step 2: substitute any of the two points given into the equation of a line
y = -3x + c
( 1 ,4)
x = 1
y = 4
4 = -3(1) + c
4 = -3 + c
4 + 3 = c
c = 7
Step 3: sub c into the equation
y = -3x + 7
The equation of the line is
y = -3x + 7
Answer:
56
Step-by-step explanation:
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 5 from both sides:
13 (-5) = (x/7) + 5 (-5)
13 - 5 = x/7
8 = x/7
Isolate the variable x. Multiply 7 to both sides:
8(7) = (x/7)(7)
8(7) = x
x = 8 * 7
x = 56
56 is your answer for x.
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Here is how I completed the problem:
I started by creating a ratio:
<em>Where 'x' is the desired amount of the 18% solution of sulfuric acid.
</em>From here, I solved for 'x':
<em>
</em>
∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.
3x - 8 = 2x + 15
Add 8 to both sides
3x = 2x + 23
Subtract 2x from both sides
x = 23
