Answer:
h=(1)/(3a^(2)V)
Step-by-step explanation:
Y=MX+C C=1 0=m(1)+1 m=-1 Y=-X+1
The probability that the person pulls 1 blue M&M given that one is only allowed to pull 5 random M&M's per day will be 0.6450.
<h3>How to calculate probability?</h3>
From the information given, there are 1,023 M&M's in a bag and out of 1,023 M&M's, 132 M&M's are blue.
Therefore, the probability of getting a blue M&M will be:
= 132/1023
= 0.1290
Therefore, since the person is given the chance to pull 5 random M&M's per day, the probability will be:
= 0.1290 × 5
= 0.6450
Learn more about probability on:
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Answer: (c) y<=-x+4
The area is shaded UNDER the boundary line, hence "<"
The boundary is plotted as solid line, hence "="
Answer:
Step-by-step explanation:
Eek! Let's give this a go. Things we know:
acceleration of Bond in free fall is -9.8 m/s/s
velocity of the truck is 25 m/s
displacement Bond will travel when he jumps is -10 m
What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.
Our displacement equation is
Δx = v₀t + 1/2at²
Filling in we have

Simplifying we get

This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.
Good luck with this!
Cheers!