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3 years ago

7. Which property of polynomials says that the sum of two polynomials is also a polynomial?

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

Answer:

Closure property

Step-by-step explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

${x}^{2} + 2$

is a polynomial.

$x - 2$

is also a polynomial.

The sum of the two polynomials is

${x}^{2} + 2 + x - 2 = {x}^{2} + x$

The result:

${x}^{2} + x$

is also a polynomial.

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5. a number from 1-50 is chosen at random.

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Answer:3/

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2 years ago

In this lesson, the graph of a line is used to find which of the following?

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All of the above. The graph of a line shows a point on the line, (x,y). It shows the slope (rise/run) it also shows the equation in point-slope form/slope intercept form.
(Slope intercept and point-slope are the same equation, but in a different form.)

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Area of triangular base from the following prism

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3 years ago

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Ratling [72]

Answer:

Choice number one:

$\displaystyle \frac{5}{10}\cdot \frac{4}{9}$ .

Step-by-step explanation:

Let $A$ be the event that the number on the first card is even.
Let $B$ be the event that the number on the second card is even.

The question is asking for the possibility that event $A$ and $B$ happen at the same time. However, whether $A$ occurs or not will influence the probability of $B$ . In other words, $A$ and $B$ are not independent. The probability that both $A$ and $B$ occur needs to be found as the product of

the probability that event $A$ occurs, and
the probability that event $B$ occurs given that event $A$ occurs.

5 out of the ten numbers are even. The probability that event $A$ occurs is:

$\displaystyle P(A) = \frac{5}{10}$ .

In case A occurs, there will only be four cards with even numbers out of the nine cards that are still in the bag. The conditional probability of getting a second card with an even number on it, given that the first card is even, will be:

$\displaystyle P(B|A) = \frac{4}{9}$ .

The probability that both $A$ and $B$ occurs will be:

$\displaystyle P(A \cap B) = P(B\cap A) = P(A) \cdot P(B|A) = \frac{5}{10}\cdot \frac{4}{9}$ .

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2 years ago

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Ro

Gre4nikov [31]

Answer:

a) z* = -1.97

b) z* = -2.33

c) z* = -1.65

d) z* = 2.04

e) z* = 2.33

f) z* = -1.25.

Step-by-step explanation:

Z-score:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. P(z < z*) = 0.0244

We have to look at the ztable, and find z which has a pvalue of 0.0244. So it is z* = -1.97

b. P(z < z*) = 0.0098

We have to look at the ztable, and find z which has a pvalue of 0.0098. So it is z* = -2.33

c. P(z < z*) = 0.0496

We have to look at the ztable, and find z which has a pvalue of 0.0496. So it is z* = -1.65

d. P(z > z*) = 0.0204

We have to look at the ztable, and find z which has a pvalue of 1 - 0.0204 = 0.9796. So z* = 2.04

e. P(z > z*) = 0.0098

We have to look at the ztable, and find z which has a pvalue of 1 - 0.0098 = 0.9902. So z* = 2.33

(f) P(z > z* or z < -z*) = 0.201

This is z which has a pvalue of 0.201/2 = 0.1055. So it is z* = -1.25.

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3 years ago

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