Create a frequency chart by using a bar graph as shown in the picture below. A frequency chart is used when you want to present how much of the data belongs to one group. For this problem, it specifically represents how many people belong to a time interval. The y-axis is the number of people and the x-axis is the time expressed in intervals.
As you can see visually, the shape of the distribution graph is skewed to the right, although not uniformly. This is justified because the relatively high data are situated on the far right side of the graph. Also, there are no outliers in the data because they are all pretty close to each other. No bar is obviously different from the others. The center is the median of all the data. If you create a middle line as represented by the horizontal line, the center data point is 21. You can verify this by arranging all the data points from smallest to largest, and selecting the middle data. Lastly, the spread is from the lowest value to the highest value. The lowest value is at 12 to 1 pm with 19 people. The highest value is at 4 to 5 pm with 24 people. Therefore, the spread is from 19 to 24.
Answer:
320+40=360
Step-by-step explanation:
8(40+5)
320+40=360
Hi, these equations are pretty easy actually, first thing you should know when working with variables is that you always want to leave the variable alone, let's take the third excersise for example, 12x + 2 = 146. Here you just do the opposite on the other side of the equation depending if the number is positive or negative. Since x is being multiplied by 12 you first get rid of the 2, since its positive you subtract it to 146. Now the answer should be 12x = 144. Now since you're multiplying 12 to x you just divide 12 from 144, 144/12 = 12
x = 12
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.