Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given freque
1 answer:
Answer:
See explanation and results below.
Step-by-step explanation:
We have the following data:
Age (yr) when award was won Frequency 25-34 31 35-44 36 45-54 12 55-64 4 65-74 6 75-84 1 85-94 2
If we order the data we got the following result. We assume that the midpoint is given by:
The
And the limits are given by the lower and upper limit.
L.Limit U.Limit Class W Midpoint Frequency Limits
25 34 34-25=9 29.5 31 [25-34]
35 44 44-35=9 39.5 36 [35-44]
45 54 54-45=9 49.5 12 [45-54]
55 64 64-55=9 59.5 4 [55-64]
65 74 74-65=9 69.5 6 [65-74]
75 84 84-75=9 79.5 1 [75-84]
85 94 94-85=9 89.5 2 [85-94]
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Answer:
18 children
Step-by-step explanation:
Given
<em>Required (missing part of the question):</em>
<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>
<em>The graph is missing. However, the question can be solved without the graph.</em>
<em />
From the question and equation, we can deduce the following:
- x represents adults
- y represents children
So, when 8 adult tickets were sold.
This means
Substitute 8 for x in
Subtract 96 from both sides
Solve for y
<em>This means that 18 children will be able to go</em>
Answer:
Step-by-step explanation:
All we can do here is combine like terms (add those that have the same the same exponent)
Good luck!
The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
Answer:
62,160 cubic feet
Step-by-step explanation:
To solve this problem, we can use a percentage formula as shown below:
<em>P = initial value</em>
<em>r = rate</em>
Now lets plug in the values given in the question:
62,160
This means that the volume of the warehouse after the addition will be 62,160 cubic feet.