The volume of the first pan is (length x width x depth) =
(20cm x 16cm x 4.4cm) = 1408 cm³ .
The batter fills it, so we know there is 1408 cm³ of batter.
Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan. So we know that
there is 1408 cm³ of batter in the new pan. It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.
(length x width x depth) = 1408 cm³
(20cm x 20cm) x (depth) = 1408 cm³
(400 cm²) x (depth) = 1408 cm³
Divide each side by 400cm² : depth = 1408 cm³ / 400cm²
= 3.52 cm
Since the new pan is 5 cm deep, this works. The batter doesn't
overfill it and glurb out over the top and all over the counter.
The question asked how far the batter is <em>from the top of the pan</em>.
The pan is 5 cm deep.
The batter is 3.52cm deep.
The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.
Rounded to the nearest tenth of a cm, that's <em>1.5 cm </em>from the top.
Answer:
Mean=50.
standard deviation=50.
Step-by-step explanation:
Let the perfect score be 100.
The mean(average) of a data is given by: 
Here the number of data points are 100. out of which 50 attains a value 100,and 50 attains value 0.
so, sum of data points=50×100+50×0=5000.
Mean=50.
"Now the standard deviation of data points are calculated by firstly subtracting mean from every entry and then square the number and take it as new entry and calculate the mean of the new data entry and lastly taking the square root of this new mean".
Here if 50 is subtracted from each entry the new entry will have 50 entries as '50' and 50 entries as '-50'.
next on squaring we will have all the 100 entries as '2500'.
now the mean of these entries is: 
=2500
taking it's squareroot we have 
Hence, standard deviation=50.
Answer:
Step-by-step explanation:
HL=√((-2-4)²+(8-0)²)=√(36+64)=√100=10=radius
so L lies on the circumference of circle.
or eq. of circle is (x-4)²+(y-0)²=10²
(x-4)²+y²=100
Put x=-2,y=8
(-2-4)²+8²=100
36+64=100
or 100=100
which is true.
Hence L lies on the circle.
Please show the entire question :)
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
