Y=mx+c
1) FIND M
Perpendicular lines formula
m1 x m2 = -1
- gradient of the lines multiplied together equals to -1
Substitute
m1 x m2 = -1
12 x m2 = -1
m2 = -1/12
m2 = -0.083
2) FIND C
Now we know m, y and x, so we can find c.
(x,y) -> (10,-5)
y=mx+c
-5=-0.083*10+c
-5=0.83+c
-5-0.83=c
c=-5.83
So the equation would be
y=-0.08x+5.83
<u>Answer:</u>
8x+ 6 is the translated mathematical expression.
<u>Step-by-step explanation:</u>
We are given the following English expression which are to translate into a mathematical expression:
<em>'The sum of 6 and the product of 8 and x” into a mathematical expression'</em>
Translating it in small chunks:
1. the sum of 6 ---> +6
2. product of 8 and x ---> 8x
Therefore, combining these we get the mathematical expression 8x + 6
Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
The sample size is n when M = 29, hence:
n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer: 15%
Step-by-step explanation:
% change = change/ actual value x 100
Change = 11 .50 - 10 = 1.5
Therefore % change = 1.5/10 x 100
= 15%
Divide 120000 by 1000 to get your answer since there are 1000 mL in a liter......the answer is 120 liters
