Answer:
![x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%2Fx%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2%7D)
Step-by-step explanation:
Given
Required
Rewrite in simplest radical form
Using laws of indices:
This implies that
Solve Exponents
Simplify exponent to lowest fraction
Using laws of indices:
![a^{\frac{m}{n}} = \sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D)
This implies that
This is as far as the expression can be simplified
Answer:
$5.21
Step-by-step explanation:
20.00 - 14.79 = 5.21
Answer: He is not correct.
Steps:
Let x1 and x2 be the first and second number, respectively.
In words, if the second is 125%, or 5/4 of the first number (first equation),
then the first is 4/5 of the second, which is 0.8 or 80%.
Answer: D. n + q = 20
5n + 25q = 300
Step-by-step explanation:
Let n represent the number of nickels that you have.
Let q represent the number of quarters that you have.
Suppose you have 20 coins. It means that
n + q = 20
The total value of the coins is $3. The value of a quarter is $0.25 and the value if a nickel is $0.05. Therefore, the equation would be
0.05n + 0.25q = 3
Multiplying both sides of the equation by 100, it becomes
5n + 25q = 300
The correct option is
D. n + q = 20
5n + 25q = 300
Answer:
The observed tumor counts for the two populations of mice are:
Type A mice = 10 * 12 = 120 counts
Type B mice = 13 * 12 = 156 counts
Step-by-step explanation:
Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.
This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate). And the Poisson distribution gives the probability of an occurrence within a specified time interval.
