How do you determine the degree of a polynomial
1 answer:
Answer:
The degree of a polynomial refers to the highest degree of its individual terms having non-zero coefficients.
Step-by-step explanation:
The degree of a polynomial refers to the highest degree of its individual terms having non-zero coefficients. For example;
A quadratic polynomial is a polynomial of degree 2. This polynomial takes the general form;
where a, b, and c are constants. This is usually referred to as a quadratic polynomial in x since x is the variable. The highest power of x in the polynomial is 2, hence the degree of any quadratic polynomial is 2.
A second example, consider the cubic polynomial;
The degree of this polynomial is 3.
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Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = = 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
Answer:
1166.
Step-by-step explanation:
The total area of the shopping space is
If 1 customer is allowed per every 120 square foot, then we can work out the maximum capacity by dividing the total.
As we can't have .67 of a customer, we need to round this value down to 1166 customers.