y = -
x + 3
the equation of a line in slope-intercept form is
y = mx +c ( where m is the slope and c the y-intercept )
rearrange x + 4y = 12 into this form
subtract x from both sides
4y = - x + 12 ( divide all terms by 4 )
y = -
x + 3 ← in slope-intercept form
Answer:
P = 0.001625
yes, it did
Step-by-step explanation:
given data
affective ones = 2%
spark plugs = 8000
defective = 13
to find out
experimental probability that the next sparkplug will be defective and Did the mannufacturer reach its goal
solution
we know that there are 13 are defective out of 8000
so P = 13 ÷ 8000
P = 0.001625
so that P( the next sparkplug will be defective) is = 0.001625
and
yes, we mannufacturer to reach goal
because 0.001625 < .02
So, the goal is reached as the experimental probability is less than 2%
Answer:
height = 22 ft
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Here b = 10 and A = 110, thus
× 10 × h = 110, that is
5h = 110 ( divide both sides by 5 )
h = 22 ft
(-1,0) (0,5) is part of the graph for this equation
The ratio of the height of the stick to the length of its shadow is equal to the ratio of the height of the tree to the length of its shadow.
x - the height of the tree
![\frac{4}{2}=\frac{x}{18} \\ 2=\frac{x}{18} \\ 2 \times 18=x \\ x=36](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B2%7D%3D%5Cfrac%7Bx%7D%7B18%7D%20%5C%5C%202%3D%5Cfrac%7Bx%7D%7B18%7D%20%5C%5C%202%20%5Ctimes%2018%3Dx%20%5C%5C%0Ax%3D36)
The tree is 36 ft tall.