Answer:
<u>Answer</u><u> </u><u>→</u><u> </u><u>Student</u><u> </u><u>A</u><u> </u><u>was</u><u> </u><u>right</u><u>.</u>
![{ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20%5Csqrt%5B3%5D%7B1944%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%2872%20%5Ctimes%2027%29%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Ctt%7B%20%5Csqrt%5B3%5D%7B72%7D%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B27%7D%20%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Ctt%7B%20%5Csqrt%5B3%5D%7B72%7D%20%20%5Ctimes%203%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Cunderline%7B%20%5Ctt%7B%20%5C%3A%203%20%5Csqrt%5B3%5D%7B72%7D%20%7D%20%5C%3A%20%7D%7D)
Answer:
The theoretical probability is smaller than the relative frequency
Step-by-step explanation:
6-sided cube rolled 200 times
Probability of an even number is 1/2= 0.5
200*1/2= 100- theoretical probability
Experimental frequency= 115
Relative frequency= 115/200= 0.575
0.575 > 0.5
The theoretical probability is smaller than the relative frequency
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:



Where
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.