The normal distribution curve is shown in the diagram below
<span>The percentage of time that his commute time exceeds 61 minutes is equal to the area under the standard normal curve that lies to the RIGHT of X=61
Standardising X=61 to find z-score
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from the z-table
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Answer:
11) B
12) B
Step-by-step explanation:
1. Multiply the second line by 4: 4x+4y=16. They are the same line so there are infinitely many solutions.
2. Substitute for y.
x+(2x+10)=-2
3x+10=-2
3x=-12
x=-4
Plug x in
-4+y=-2
y=2
Final answer: (-4,2)
3. The answer is the first one because the solution is always where two lines intersect. The crossing of the x axis, y axis, and origin are irrelevant.
4. 2x+4=3x+1. This is because both equations define the value of y and therefore must be equivalent.
5. Infinitely many solutions. If you multiply the second equation by -3, you can tell it's coinciding or the same line.
Answer:
y is equal to or less then 0
Step-by-step explanation:
Plug in x=-4,0, and 4 to see what way this graph is pointing. When x=-4 is it 16*-3/4 (which is negetive). When x=0, y=0. and when x=4, y=16*-3/4 (Which is the same, and negetive, like -4). We see that after 0, the graph goes back to the negetives in the y axis, and before 0, it does the same. The graph tops out at 0 and never goes up, so y is equal to or less then 0.