Answer with explanation:
The equation of any line with slope 'm' and passing through any point
is given by

As we know that the general equation of a line with slope 'm' is 
Comparing with the given equation
we can conclude slope of the given line is 
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

Hence using the given and the obtained values the equation of the required line is

Part b)
The angle of intersection between 2 lines with slopes
is given by

Comparing the equations of given lines

with the standard equation we get

Thus the angle of intersection becomes

I think 10 is the answer, correct me
Answer:
There is an association because the relative frequencies by row are different.
Step-by-step explanation:
The relative frequencies by row are:
90 perfect t-shirts out of 90+6=96 t-shirts is:
90/96 = 0.9375
6 flawed t-shirts out of 96 t-shirts is:
6/96 = 0.0625
40 perfect sweatshirts out of 40+10=50 sweatshirts is:
40/50 = 0.8
10 flawed sweatshirts out of 50 sweatshirts is:
10/50 = 0.2
The relative frequencies by row are different; this means there is an association.
Answer:
Absolute error = 39
Percent Error = 6.10%
Step-by-step explanation:
Actual value = 639 pounds
Observed Value = 600 pounds
The formula to find absolute error is:
Absolute Error = Actual value - Observed Value
= 639 - 600
= 39
The formula to find Percent error is:
Percent Error = (Actual value - Observed Value / Actual value)*100
= (639 - 600/639)*100
= 6.10%
Explanation
to solve this we need to translate into math terms, so
Step 1
a) let d represents the number of dimes
let n represents the number of nickles
so
re write the expressions

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles
hence

therefore , the expression for the number of nickles is

I hope this helps you