The slope of the graph is -40/2 or -20 when simplified. This slope means that the fuel in your truck decreases as you drive it.
Answer:
0.0256 or 16/625 or 2.56%
Step-by-step explanation:
The problem states that each light bulb operates independently of the other, so the probability doesn't change for each light bulb based on how many other light bulbs are working.
The probability of each light bulb working is 0.6 out of 1. However, we want the probability of it being broken.
1 - 0.6 = 0.4
This is the probability of one light bulb being broken. But there are 4 lightbulbs.
We can multiply 0.4 by itself 4 times, as the probability stacks.
0.4 * 0.4 * 0.4 * 0.4 = 0.0256 (<em>Also achieved by raising 0.4 to the power of 4)</em>
<em>To get the percentage, multiply it by 100. 2.56%</em>
<em />
0.4 is equal to 40% or 40/100. If you simply, that fraction is equal to 2/5
2/5 * 2/5 * 2/5 * 2/5 = 16/625 (<em>Also achieved by raising 2/5 to the power of 4)</em>
Answer:
A. 112 feet
B. 3 seconds
C. 256 feet
Step-by-step explanation:
The function
describes the height of the quarter above the water.
When
then
![d(0)=-16\cdot 0^2+96\cdot 0+112\\ \\d(0)=112\ feet](https://tex.z-dn.net/?f=d%280%29%3D-16%5Ccdot%200%5E2%2B96%5Ccdot%200%2B112%5C%5C%20%5C%5Cd%280%29%3D112%5C%20feet)
<u>Part A.</u> The quarter was tossed from 112 feet.
Find the vertex of parabola represented by quadratic function d(t):
![t_v=\dfrac{-b}{2a}=\dfrac{-96}{2\cdot (-16)}=3\\ \\d(t_v)=d(3)=-16\cdot 3^2+96\cdot 3+112\\ \\d(3)=-144+288+112\\ \\d(3)=256\ feet](https://tex.z-dn.net/?f=t_v%3D%5Cdfrac%7B-b%7D%7B2a%7D%3D%5Cdfrac%7B-96%7D%7B2%5Ccdot%20%28-16%29%7D%3D3%5C%5C%20%5C%5Cd%28t_v%29%3Dd%283%29%3D-16%5Ccdot%203%5E2%2B96%5Ccdot%203%2B112%5C%5C%20%5C%5Cd%283%29%3D-144%2B288%2B112%5C%5C%20%5C%5Cd%283%29%3D256%5C%20feet)
Hence,
<u>Part B.</u> It will take 3 seconds to reach the maximum height.
<u>Part C.</u> The maximum height is 256 feet