Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2
1 answer:
Answer:
The correct option is;
69 cm
Step-by-step explanation:
The z-score, or standard score is a measure of how far a data is from the mean
The z-score, is given by the relation;
Z = Standard score
x = Value observed
μ = The mean height of the plants = 52.5 cm
σ = Standard deviation = 7.2 cm
Given that the z-score = 2.25, we have;
Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm
Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.
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Answer:
see attached
Step-by-step explanation:
I find it convenient to let a graphing calculator draw the graph (attached).
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If you're drawing the graph by hand, there are a couple of strategies that can be useful.
The first equation is almost in slope-intercept form. Dividing it by 2 will put it in that form:
y = 2x -4
This tells you that the y-intercept, (0, -4) is a point on the graph, as is the point that is up 2 and right 1 from there: (1, -2). A line through those points completes the graph.
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The second equation is in standard form, so the x- and y-intercepts are easily found. One way to do that is to divide by the constant on the right to get ...
x/2 +y/3 = 1
The denominators of the x-term and the y-term are the x-intercept and the y-intercept, respectively. If that is too mind-bending, you can simply set x=0 to find the y-intercept:
0 +2y = 6
y = 6/2 = 3
and set y=0 to find the x-intercept
3x +0 = 6
x = 6/3 = 2
Plot the intercepts and draw the line through them for the graph of this equation.
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Here, we have suggested graphing strategies that don't involve a lot of manipulation of the equations. The idea is to get there as quickly as possible with a minimum of mistakes.
