It is given that
a+b=20 -------------------- (1)
b+c=30 -----------------------(2)
We have to calculate
3 a + 4 b +7 c
Now multiplying equation(1 )by 3,we get
3 a+ 3 b=60 ----------------------------------(3)
and Multiplying equation( 2) by 4,we get
4 b + 4 c=120 -----------------------------------(4)
Adding expression (3) and (4),we get i.e left hand side of 3 to left hand side of 4 and right hand side of 3 to right hand side of 4.
3 a+ 3 b+ 4 b+ 4 c=60+120
Adding like terms, we get
3 a+ 7 b+ 4 c =180, Which is the required solution.
Answer:
The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100....
Step-by-step explanation:
the square root of 1 is 1 b/c 1^2=1 (and so on)
Answer:
A-14
Step-by-step explanation:
All the angles of the triangle ABC are 60°.
Therefore it is an equilateral triangle.
All sides of an equilateral triangle are equal.
Hence, AC = 14
Answer:
<em>As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".</em>
Step-by-step explanation:
The given data: 10 5 8 10 12 6 8 10 15 6 12 18
<u>Mean is the simple average of all data</u>. As, there are total 12 data, so the Mean will be: ![\frac{10+5+8+10+12+6+8+10+15+6+12+18}{12}= \frac{120}{12}=10](https://tex.z-dn.net/?f=%5Cfrac%7B10%2B5%2B8%2B10%2B12%2B6%2B8%2B10%2B15%2B6%2B12%2B18%7D%7B12%7D%3D%20%5Cfrac%7B120%7D%7B12%7D%3D10)
For finding the Median, <u>first we need to rearrange the data according to the numerical order and then identify the middle value</u>. So........
5 6 6 8 8 10 10 10 12 12 15 18
Here the middle values are 10 and 10. So, the median will be the average of those two middle values.
Thus, Median ![=\frac{10+10}{2}=\frac{20}{2}=10](https://tex.z-dn.net/?f=%3D%5Cfrac%7B10%2B10%7D%7B2%7D%3D%5Cfrac%7B20%7D%7B2%7D%3D10)
We can see that, <u>the relationship between the mean and the median is "they are equal"</u>. So, the data will be in normal distribution and the shape will be symmetrical "bell curve".