A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than
1 answer:
Answer: We are given:
The height h of a guardrail = 106 centimeters
Absolute deviation = 7 centimeters
The absolute value inequality is
To find the acceptable heights of a guardrail , we add and subtract absolute deviation(7) from the mean height(106)
The acceptable range of height is:
106 + 7 = 113
106 - 7 = 99
Acceptable heights are defined by
Therefore, the acceptable range of heights of a guardrail are 99 cm to 113 cm.
You might be interested in
X equals to 48
The work is shown in the picture. I hope this helps.
The work is shown in the picture. I hope this helps.
1. I'm assumig that the paths are perfect parabolas
this means that their general forms can be written in
it's easier to find vertex form first then expand to get general form
vertex form is where the vertex is (h,k) and a is a constant
firework #1
vertex is (10,50), so (h,k)=(10,50) and h=10, k=50
to find the value of , subsitute another point
(0,0)
so the equation in vertex form is
expand to get general form
2.
same as last time
vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72
equation is
find
use another point
(0,22)
so the equation in vertex form is
3.
range is the numbers that h is allowed to be
think about what h represents. it represents the height of the rocket
from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd
so range is 0 to 50 or 0≤h≤50
domain is the numbers that t is allowed to be
think about what t represents. it represents how long the rocket has been flying
it will stop flying when it hits the ground or at t=20
it starts flying at t=0
so domain is from 0 to 20 or 0≤t≤20