P(82 - q < x < 82 + q) = 0.44
P(x < 82 + q) - P(82 - q) = 0.44
P(z < (82 + q - 82)/7.4 - P(z < (82 - q - 82)/7.4) = 0.44
P(z < q/7.4) - P(z < -q/7.4) = 0.44
P(z < q/7.4) - (1 - P(z < q/7.4) = 0.44
P(z < q/7.4) - 1 + P(z < q/7.4) = 0.44
2P(z < q/7.4) - 1 = 0.44
2P(z < q/7.4) = 1.44
P(z < q/7.4) = 0.72
P(z < q/7.4) = P(z < 0.583)
q/7.4 = 0.583
q = 0.583 x 7.4 = 4.31
Answer:
The number of ways is equal to 
Step-by-step explanation:
The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are
n1 x n2 x ... x ni
Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.
For example : We want to put 4 different objects in a row.
The total ways to do this are
ways.
Using the multiplication principle and the n-factorial number :
The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ 
Answer:
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
Step-by-step explanation:
An equivalent expression is an expression which either simplified or factored is equal to it.
6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)
24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)
(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)
we know that
If line b is perpendicular to line a, and line c is perpendicular to line a,
then
line b and line c are parallel
and two lines parallel have the same slope
so
<u>Find the slope of the line b</u>
Let

The formula to calculate the slope between two points is equal to


substitute



therefore
<u>the answer is</u>
<u>the slope of the line c is</u>
