Answer:
![17\ \text{hours and}\ 15\text{ minutes}](https://tex.z-dn.net/?f=17%5C%20%5Ctext%7Bhours%20and%7D%5C%2015%5Ctext%7B%20minutes%7D)
Step-by-step explanation:
The function is
![-4x+3y=21](https://tex.z-dn.net/?f=-4x%2B3y%3D21)
Where
x = Time in hours
y = Velocity in kilometers per hour
Here y = 30 km/hr
![-4x+3y=21\\\Rightarrow x=\dfrac{3y-21}{4}\\\Rightarrow x=\dfrac{3\times 30-21}{4}\\\Rightarrow x=\dfrac{69}{4}\\\Rightarrow x=17.25\ \text{hours}=17\ \text{hours and}\ 15\text{ minutes}](https://tex.z-dn.net/?f=-4x%2B3y%3D21%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B3y-21%7D%7B4%7D%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B3%5Ctimes%2030-21%7D%7B4%7D%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B69%7D%7B4%7D%5C%5C%5CRightarrow%20x%3D17.25%5C%20%5Ctext%7Bhours%7D%3D17%5C%20%5Ctext%7Bhours%20and%7D%5C%2015%5Ctext%7B%20minutes%7D)
The particle will reach 30 km/hr after
.
Solution: The sum of probabilities of all the sample points must equal 1. And the probability of getting a head is equal to the probability of getting a tail. Therefore, the probability of each sample point (heads or tails) must be equal to 1/2. Let's repeat the experiment of Example 1, with a die instead of a coin.
21/180 would be .1166666667
Answer:
g(g(x)) = 4x + 9
Step-by-step explanation:
To obtain g(g(x)) substitute x = g(x) into g(x) , that is
g(g(x))
= g(2x + 3)
= 2(2x + 3) + 3 ← distribute parenthesis
= 4x + 6 + 3 ← collect like terms
= 4x + 9