The data below represents the amount that a sample of fifteen customers spent for lunch ($) at a fast-food restaurant:
8.42 6.29 6.83 6.50 8.34 9.51 7.10 6.80 5.90 4.89 6.50 5.52 7.90 8.30 9.60
at the 0.01 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? follow and show the 7 steps for hypothesis testing. determine the p-value and interpret its meaning. what assumption must you make about the population distribution in order to conduct the test in part a? is the assumption valid?

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.