1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? 3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g? 4. If f(x) is a polynomial, is f(x^2) also a polynomial 5. Consider the polynomial function g(x) = x^4-3x^2+9 a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial

Answer:

And using the probability mass function we got:

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

The probability mass function for the Binomial distribution is given as:  

Where (nCx) means combinatory and it's given by this formula:  

And we want to find the following probability:

And using the probability mass function we got:

Answer:

And we can find the second moment with this formula:

And replacing we got:

And we can find the variance like this:

And the deviation would be:

Step-by-step explanation:

For this case we have the following dataset given:

Payment     $7     $9     $11    $13    $15  $17

Probability 0.18  0.08  0.09  0.16  0.08   0.41

For this case we can calculate the mean with this formula:

And replacing we got:

And we can find the second moment with this formula:

And replacing we got:

And we can find the variance like this:

And the deviation would be:

Answer:

The answer is "Option 2".

Step-by-step explanation:

Please find the complete question in the attached file.

When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.

Final answer:

None of the claims must necessarily be true based on the 8% average profit data provided. The information supplied does not specify individual profits, future profits, or the distribution of profits.

Explanation:

Based on the statement that the investment company's clients on average, made a profit of 8% last year, none of the claims must necessarily be true. The key phrase here is that the average profit was 8% - this does not provide specific information about any individual client's profit.

Option a is not necessarily true because this statement makes assumptions about future profits, which cannot be ascertained from last year’s average profit. For option b: even if the average profit was 8%, it's possible that no single client made exactly 8%. Similar logic applies to option c. The average doesn't tell us the distribution of the data, so we cannot deduce that more than half the clients made a profit of at least 8%. For option d: we cannot confirm if at least one client made a profit of more than 11% purely based on the average profit figure of 8%. Lastly, for option e: it's possible, but not guaranteed, that at least one client made a profit of exactly 8%. Hence, the answer is option f: None of the above statements is true.

Learn more about Statistics here:

brainly.com/question/31538429

#SPJ3

Answer: The coefficient before x^4 is 60

Step-by-step explanation:

Hey! So I am not an expert at this, but you have to use the binomial theorem

I have attached of the Pascals Triangle (one shows the row numbering as well)

Basically in a pascal triangle, you add the two numbers above it to get the next number below

As you can see, the rows start from 0 instead of 1

The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms

NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)

Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)

It would be 15 × 2^4 × (1/2)^2 = 60

The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power

Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)

Answer: 7z + 17

Step-by-step explanation: add 15 and 2

Answer:

The correct answer should be B!

Step-by-step explanation:

"A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational."

"A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)"

"Common Examples of Irrational Numbers

Pi, which begins with 3.14, is one of the most common irrational numbers. ...

e, also known as Euler's number, is another common irrational number. ...

The Square Root of 2, written as √2, is also an irrational number."

Thus leading me to the conclusion that B is the correct answer!

-Please Mark Brainliest!!! :D