The given expression is:
(x^3 * y^4) / (3y^4)
We can notice that the term y^4 is a common term found in both the numerator and the denominator of the given expression, therefore, we can cancel this term from the both numerator and denominator (as if you divided both numerator and denominator by y^4).
Doing this, we will have the simplified form of the expression as follows:
(x^3) / (3)
Answer: Mean = 20 and standard deviation = 4
Step-by-step explanation:
Let x represents the success of getting the correct answer.
Here, the total number of trials(n) = 100
The probability of getting the correct answer, p = 1/5
Thus, the mean of the number of correct answer,



Now, the standard deviation, 



Thus, First option is correct.
Answer:
the third option, "what number, when added to negative four, is equal to negative five?"
Step-by-step explanation:
"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.
i hope this helps! :D comment if you need any clarification.
Answer:
just send them here , I will answer the ones I know .
Answer:
from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
Step-by-step explanation:
Given that;
= 6.5 gpm
μ = 5 gpm
n = eight runs = 8
standard deviation σ = 1.9 gpm
Test statistics;
t = (
- μ) / 
we substitute
t = (6.5 - 5) / 
t = 1.5 / 0.67175
t = 2.23
the degree of freedom df = n-1 = 8 - 1
df = 7
Now, from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05