Answer:
x=−2 or x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−2x−3=5
Step 2: Subtract 5 from both sides.
x2−2x−3−5=5−5
x2−2x−8=0
Step 3: Factor left side of equation.
(x+2)(x−4)=0
Step 4: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
It can travel 125km with 5 liters
And 6 liters to travel 150 :)

<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
where
(h, k) is the vertex. In the given equation,
, the h-value is 1/2 and the k-value is -2.
So, the vertex (h, k) = (1/2, -2)
Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.