Answer:
y = - 6x - 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 6x + 2 ← is in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes then
y = - 6x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = 12 + c ⇒ c = - 3 - 12 = - 15
y = - 6x - 15 ← equation of parallel line
Answer:
the probability is 0.4642 (46.42%)
Step-by-step explanation:
for the events E and F such that
N(E ∩ F) = 250 and N(E) = 560
where N represents the number of elements in that set , we can use the theorem of Bayes for conditional probability .Then representing N total =N(E∪F) , we have that the probability is
P( F|E ) = P (E ∩ F)/ P(E) = [N(E ∩ F) / N total]/ [N(E) / N total ] = N(E ∩ F)/ N(E) = 250/560 = 0.4642 (46.42%)
Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
Hey there!
19 is rounded to 20
120 divided by 6=20
20 is your answer
Hope this helps!
