The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
In this problem, the standard dimensions are:
- l = 3(1/2) = 3 + 0.5 = 3.5 inches.
- w = 8(1/2) = 8 + 0.5 = 8.5 inches.
The individual-size box has a 1/10 of the volume of the original box, hence:
V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Lets take a look at the options first.
option 1 and option 4 are not possible as (8x) (8x) would give us 64x^2, which is not what we want.
we’re left with option 2 & 3. when expanded, option 2 will look like :
16x^2 - 40x - 10x + 25
= 16x^2 - 50x + 25
however, we do not want the 50x. so the answer is option 3, (4x-5) (4x+5)
if you don’t want to find the answer using expanding, there is also another method of expanding.
(a+b)^2 = a^2 - b^2
in this case, 16x^2 will be a^2 and 25 will be b^2. not sure whether you’ve learn this but yea.
Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%
Answer: 
Step-by-step explanation:
