Answer:
The quotient is 2x^2 - x + 1.
Step-by-step explanation:
If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:
-1 / 2 1 0 1
-2 1 -1
----------------------
2 -1 1 0
The quotient is 2x^2 - x + 1. The coefficients were obtained through synthetic division.
The expression that is a prime polynomial is:
B. 
.
<h3>What is a prime polynomial?</h3>
A prime polynomial is a polynomial that cannot be factored.
In this problem, item b gives a prime polynomial, as:
- In item a, 3 is a common factor, hence the polynomial can be factored.
- In item c, x is a common factor, hence the polynomial can be factored.
- In item d, the polynomial can be factored according to it's roots.
More can be learned about prime polynomials at brainly.com/question/26388060
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It would be .98 feet or 11.81 inches
Answer:
A translation by 1 units to the right and 3 units down.
Step-by-step explanation:
If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.
Then the probability that a cat will weigh less than 11 pounds will be
The value of z-score will be
z = (11 – 9) / 2
z = 1
Then the probability will be
P(x < 11) = P(z < 1)
P(x < 11) = 0.84134
Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.
More about the z-score link is given below.
brainly.com/question/15016913
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