Multiply the amount Emily has by 2/3 to find how many Samantha has:
36 x 2/3 = 24
Now add the two amounts together for the total:
36 + 24 = 60 total lollipops.
Answer: 60
E=47
g=137
f=133
h=48
e=42
f=138
Answer:
30%
Step-by-step explanation:
Let's Subtract them:
=> £10-£7 = £3
<u><em>%age decrease:</em></u>
=> ![\frac{3}{10} * 100%](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D%20%2A%20100%25)
=> 3 * 10
=> 30%
Step-by-step explanation:
We know that,
![Z=\dfrac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
Where,
X = raw score = 84
μ = mean = 68
σ = standard deviation = 10
Putting the values,
![Z=\dfrac{84-68}{10}=1.6](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7B84-68%7D%7B10%7D%3D1.6)
The percent of his sales that were less than or equal to 84 inches, is
![P(Z\leq 1.6)=0.9452=94.52\%\approx 94.5\%](https://tex.z-dn.net/?f=P%28Z%5Cleq%201.6%29%3D0.9452%3D94.52%5C%25%5Capprox%2094.5%5C%25)
Therefore, the remaining 100-94.5=5.5% were more than 84 inches.
Simplify the following:
(a^4 + 4 b^4)/(a^2 - 2 a b + 2 b^2)
A common factor of a^4 + 4 b^4 and a^2 - 2 a b + 2 b^2 is a^2 - 2 a b + 2 b^2, so (a^4 + 4 b^4)/(a^2 - 2 a b + 2 b^2) = ((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2):((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2)
((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2) = (a^2 - 2 a b + 2 b^2)/(a^2 - 2 a b + 2 b^2)×(a^2 + 2 a b + 2 b^2) = a^2 + 2 a b + 2 b^2:
Answer: a^2 + 2 a b + 2 b^2