First, let’s break this down. What exactly are we looking at here? Well, Daisy measured the heights of 20 plants (in cm). The table, under Frequency, shows the # of plants that fit within a certain height range, shown on the left under Height of Plants (h).
Now, it says to take the midpoints of each group to figure out an estimate of the mean height. To find the mean, you add up all the totals and divide it by the # of items. So, let’s go through each row.
Midpoint of 0-10 is 5, and Frequency is 1, so that gives us 5.
Midpoint of 10-20 is 15, Frequency is 4, and 15x4=60.
We continue this with the other rows by finding the midpoint & multiplying the midpoint by the frequency (if the frequency is greater than 1). This gives us the numbers:
175 (25x7)
70 (35x2)
135 (45x3)
165 (55x3)
Now, we add these all together.
5+60+175+70+135+165=610
Finally, we divide 610 by the # of items (remember, there are 20 plants so we divide by 20) and 610/20 is 30.5.
FINAL ANSWER:
Thus, if I calculated correctly (which I hope I did lol), our estimate for the mean height of a plant is 30.5 cm!
The answer is C.
x=2
y=-30
(2;-30)
<span>Old Surface Area = 202 ft^2
New Surface Area = 1818 ft^2
Notice we have this ratio:
(new area)/(old area) = 1818/202 = 9
and how 3^2 = 9. This is no coincidence.
The old surface area is multiplied by 3^2 = 9 to get the new surface area
.
If you asked "What would the surface area of the prism be if each dimension were quadrupled?"
, then you would multiply the old surface area by 4^2 = 16 to get the new surface area So really thats how you would solve that </span><span />
Let's go through the steps.
d/5 +12 = -15
1. Multiply both sides by 5.
Doing this we get:
d + 60 = - 75
2. Subtract 60 from both sides.
d = - 75 - 60
d = -135
Step 2 above is the final step taken to find the value of d.
The length of side of cube is 
units
<em><u>Solution:</u></em>
Given that, volume of cube is 
cubic units
<em><u>To find: length of one side of cube</u></em>
<em><u>The volume of a cube is given as:</u></em>
Where, "a" is the length of side of cube
<em><u>Substituting the given value of volume we get,</u></em>
------ eqn 1
We know that,
<em><u>Substitute the above in eqn 1</u></em>
Now again substitute for 27 = 3 x 9
Take 3 as common power
<em><u>By taking cube roots on both side, </u></em>
Thus length of side of cube is units
