Answer:
SUMMARY:
→ Not a Polynomial
→ A Polynomial
→ A Polynomial
→ Not a Polynomial
→ A Polynomial
→ Not a Polynomial
Step-by-step explanation:
The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form 
.
Here:
= non-negative integer
= is a real number (also the the coefficient of the term).
Lets check whether the Algebraic Expression are polynomials or not.
Given the expression
If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains 
, so it is not a polynomial.
Also it contains the term 
which can be written as 
, meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression is not a polynomial.
Given the expression
This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.
Given the expression
in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!
Given the expression
is not a polynomial because algebraic expression contains a radical in it.
Given the expression
a polynomial with a degree 3. As it does not violate any condition as mentioned above.
Given the expression
Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.
SUMMARY:
→ Not a Polynomial
→ A Polynomial
→ A Polynomial
→ Not a Polynomial
→ A Polynomial
→ Not a Polynomial
Answer:
Step-by-step explanation:
1. Null hypothesis: u <= 0.784
Alternative hypothesis: u > 0.784
2. Find the test statistics: z using the one sample proportion test. First we have to find the standard deviation
Using the formula
sd = √[{P (1-P)}/n]
Where P = 0.84 and n = 750
sd =√[{0.84( 1- 0.84)/750]}
sd=√(0.84 (0.16) /750)
SD =√(0.1344/750)
sd = √0.0001792
sd = 0.013
Then using this we can find z
z = (p - P) / sd
z = (0.84-0.784) / 0.013
z =(0.056/0.013)
z = 4.3077
3. Find the p value and use it to make conclusions...
The p value at 0.02 level of significance for a one tailed test with 4.3077 as z score and using a p value calculator is 0.000008254.
4. Conclusions: the results is significant at 0.02 level of significance suck that we can conclude that its on-time arrival rate is now higher than 78.4%.
Answer:
Step-by-step explanation:
Given
See attachment for graph
Required
The unit cost
Pick any point on the dots of the graph; we have:
The unit cost is then calculated as:
Answer:
x ≥ -5
Step-by-step explanation:
15≥-3x
<em>switch sides</em>
<em>-3x≤15</em>
<em>Multiply both sides by -1 (reverse the inequality)</em>
<em>(-3x)(-1)≥15(-1)</em>
<em>Simplify</em>
<em>3x≥-15</em>
<em>Divide both sides by 3</em>
<em>3x/3≥ -15/3</em>
<em>Simplify</em>
<em>x≥ -5</em>
Answer: 108
Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108
