<span>the statement is ambiguous, it must be written as (p ∧ q) ∨ r
or p ∧ (q ∨ r).</span>
Answer:
x=-1.83
Step-by-step explanation:
1-2x=4(x+3)
1-2x=4x+12
-2x=4x+12-1
-2x=4x+11
-2x-4x=11
-6x=11
x=11÷-6
x=-1.83
Answer:
The eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Step-by-step explanation:
We know that Velocity = distance / time
If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.
After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.
Substituting the values of the problem and solving for x we have

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Answer:
A. Increase by 2
Step-by-step explanation:
Given that a fitted multiple regression equation is

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4
The coefficients of independent variables represent the slope.
In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.
Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units
Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y
i.e. for 2 units change in x1, we expect 10 units change in Y
Similarly for 2 units change in x2, we expect -2(4) units change in Y
Put together we have
change in y
Since positive 2, there is an increase by 2
A. Increase by 2
Dependent, because you're changing the probability