Answer:
a. 81.5%
Step-by-step explanation:
The z-score for 400 is ...
Z = (X -μ)/σ = (400 -500)/100 = -1
The z-score for 700 is ...
Z = (700 -500)/100 = 2
The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...
(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A
4-1.175=2.825
There was 2.825 liters left in the tank.
Hope this helps.
(5,5) - (1,5) = (4,5) is the answer
Answer:
(y, -x -6)
Step-by-step explanation:
<em>The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)</em>
<em />
The first transformation: 6 units right

Where b = 6
So, the new coordinates will be

The second transformation: 90° clockwise

So, the new coordinates will be

<em>Hence, the new coordinates of PQRS is (y, -x - 6)</em>