You take 3.5% of £42,000 and add that to £42,000, so...
0.035 (aka 3.5%) x 42,000= 1,470+42,000= 43,470...
The manager now makes £43,470
Solving y+2x < 4x-3 for y would lead to y < 2x-3. You subtract 2x from both sides of the original inequality to get to this result.
To graph y < 2x-3, you first graph y = 2x-3 which is a straight line that goes through (0,-3) and (1,-1). This line is a dashed or dotted line as solutions are not found on the boundary. The shaded region is below the dashed/dotted boundary line to indicate where the solution set is.
To summarize: the graph is a dashed line through (0,-3) and (1,-1) with the shading below the dashed line
The answer is between A and B. It will depend on how those graphs look as to which is the final answer.
Answer:
<em>-13x +8y</em>
Step-by-step explanation:
-5x+2y-8x+6y
rearranging;
-5x-8x+2y+6y
(-5x-8x)+(2y+6y)
(-13x)+(8y)
The y intercept is 3
-1/3 is the slope
Answer:
a) P [ x ≤ 7000] is 0.55
b) P [ x > 5000 ] = 0.95
c) P [ 5000 < x ≤ 7000 ] = 0,5
Step-by-step explanation:
a) P [ x > 7000 ] = 0.45 straightforward P [ x ≤ 7000] is 0.55
The whole spectrum of probabilities is 1 which in this particular case is divided in two parts having 7000 as a limit, then we subtact 1 - 0.45
b) P [ x ≤ 5000] = 0.05 again we get P [ x > 5000] taking 1-0.05 to get
P [ x > 5000 ] = 0.95
c) P [ 5000 < x ≤ 7000 ]
Under Normal curve distribution the probability of x ≤ 7000 includes values smallers ( to the left of 5000) so we subtract from 0.55 - 0.05 = 0.50
c) P [ 5000 < x ≤ 7000 ] = 0,5
