Answer:
x^(1/3)
Step-by-step explanation:
let's start with x^2 / x^(2/3), then we'll move on the the 4th root
when dividing exponents with the same base, we subtract the exponents:
x^2 / x^(2/3) = x^(2 - 2/3) = x^(4/3)
the fourth root of x^4/3 can become x^(4/3 * 1/4)
(i used the formula x^(m/n) = nth root of x^m)
x^(4/3 * 1/4) = x^1/3
hope this helps! <3
Hi there!
To solve this problem, we need to find the total amount of paint used by adding the two fractions.
First, we need to find the common denominators below adding.
1/2 = 2/4
1/4 = 1/4
The common denominator is 4.
Now, we add the mixed numbers together:
3 2/4 + 2 1/4 = 5 3/4
Since 5 3/4 can't be simplified, the answer is:
5 3/4 liters of paint
Hope this helps!
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
Answer:
the answer is 1/2 which loos like "D"
Step-by-step explanation:
the top ends up being x ^-8 and the denominator is x^-7
which is x^&/x^8 = 1/x = 1/2
A. All remaining numbers are in Q because it goes "even" left, and "odd" right.
B. Probability of it not being in Q is 1/2
