Combing like terms -4(7 + 3a) -6a(4a - 5)
2 answers:
You might be interested in
Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;
Also Given:
Alex is 12 years older than George.
So equation can be framed as;
Now Given:
Carl is three times older than Alex.
But
So we get;
Now Substituting equation 2 and equation 3 in equation 1 we get;
Subtracting both side by 48 using subtraction property of equality we get;
Now Dividing both side by 5 using Division property of equality we get;
Hence George age
Now Alex age
Also Carl's age
Now we need to find the ratio of George age to Carl's age.
Hence the ratio of George age to Carl's age is 1:12.
Box-plot describes 5 important data of the observations. We get following values for range, median and IQR as:
- The range of Charles' scores is 20
- The median of Charles' scores is 90
- The IQR of Charles' scores is 8
A box plot has 5 data description.
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called second quartile.
- The last line of the box shows the third quartile.
IQR(inter quartile range) is the dfference between third and first quartile. (Its the horizontal length of the box)
<h3>What is the range of a data set?</h3>Range = Maximum value of the data set - Minimum value of the dataset
The missing box plot is attached below for the given problem.
From the given data, we see that, the left and right whiskers are on 80 and 100 respectively.
The left and right limit of the box are on 85 and 93 respectively.
The middle line lies on 90.
Thus, we get:
- Minimum score = left whisker = 80
- Maximum score = right whisker = 100
- First quartile = left limit of box = 85
- Third quartile = right limit of box = 93
- Second quartile = median = middle line's position in the box = 90
Thus, we get:
- Range of Charles' score = Max - min value = 100 = 80 = 20
- Median of Charles' score = 90
- IQR = third quartile - first quartile = 93 - 85 = 8
Learn more about box plot here:
Answer:
240 m
Step-by-step explanation:
Figure is attached.
The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).
What's the area under the graph?
The red outline forms a trapezoid. The area of a trapezoid is where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).
Reading the graph carefully (notice the scales!)...
