Answer:
The volume of the larger cube is 
Step-by-step explanation:
Let
x ---> the length of the smaller cube
y ---> the length of the larger cube
we know that
the volume of a cube is equal to
where
b is the length side of the cube
we have
----> equation A
The volume of the smaller cube is 216 cm^3
so
substitute in the formula of volume
solve for x
![x=\sqrt[3]{216}\ cm](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B216%7D%5C%20cm)
<em>Find the value of y</em>
<em>Find the volume of the larger cube</em>
substitute the value of y
5c+10a=3570
c+a=512
...
a=512-c
so ...
5c + 10(512-c)=3570
Answer:
There is not sufficient evidence to warrant the rejection of the claim that the mean weight of cereal is atleast 14 oz
Step-by-step explanation:
The hypothesis for the test above will be stated as follows :
The claim to be tested is the alternative hypothesis, which is the negation of the Null hypothesis
H0 : μ < 14
H1 : μ ≥ 14
If the Null is rejected, then it means that the company's claim that the mean weight of its cereal being atleast 14 is valid ;
Then it means there is significant evidence to support the stance that the mean weight of cereal in the company's packet is atleast 14 oz.
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
