Answer: 205,209
Step-by-step explanation:
We want to find a perfect cube that is closest to the number N = 205,632
A perfect cube number is a number such that the square root is a whole number.
Now, to search this number we must take the square root of N:
n = √(205,632) = 453.47
Now, we can round it down or up and get whole numbers, and the squares of those whole numbers will be perfect squares that are near 205,632, lets start with rounding down.
n = 453
the square of 453 is:
453^2 = 205,209
If instead we round up the 453,47, we would get:
n = 454
and the square will be
n = 454^2 = 206,116
Now, to see which one is closser to N, we can take the differences:
205,632 - 205,209 = 423
206,116 - 205,632 = 484
so if we take n = 453 we are closser no N, then the perfect square that is closest to 205,632 is 205,209
Answer:
The price per one pound of almonds equal $2.20/0.65 lb
0.65 pounds of almonds cost $2.20
Step-by-step explanation:
Verify each case
case 1) The price per one pound of almonds equal $2.20/0.65 lb
<em>The statement is true</em>
To find the price per one pound calculate the unit rate
so
$2.20/0.65 lb=$3.38 per one pound
case 2) 2.2 pounds of almonds cost $0.65
The statement is not True
The correct is 0.65 pounds of almonds cost $2.2
case 3) Each bag of almonds weighs 2.2 pounds
Cannot be determined
In the problem there is no information about how much each bag of almonds weighs
case 4) 0.65 pounds of almonds cost $2.20
The statement is True
The point (0.65,2.20) lie to the line of the the graph
Answer: 52
Step-by-step explanation:
Formula for sample size:-

, where
= population standard deviation.
= Two -tailed z-value for
(significance level)
E= margin of error.
Given : tex]\sigma=\text{ 0.30 ounce}[/tex]
⇒Significance level for 99.6% confidence level :
By using z-value table ,Two -tailed z-value for
:

E= 0.12 ounces.
Minimum sample size will be :-

Hence, the minimum sample size for the number of packages the inspector must select = 52
Answer:
32786
Step-by-step explanation:
If we take the area which is 100.48, and multiply it by 2 because it’s obviously a semi-circle and we’re looking for the radius, we will get 200.96. Then we divide it by 3.14 to get 64. Then square root 64 to get 8. So it’s B.