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3 years ago

Consider the polynomial equation x(x - 3)(x + 6) (x-7) -0. Which of the following are zoros of the

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

The zeros are : 0, 3, -6, 7.

Step-by-step explanation:

Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.

When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.

Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0

⇒ To make the equation zero, at least one of the following should be true:

x = 0

x - 3 = 0 ⇒ x = 3

x + 6 = 0 ⇒ x = -6

x - 7 = 0 ⇒ x = 7

Therefore, x can take any one of the above values and that would make the polynomial zero.

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Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec

charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴ = 2⁽³⁻⁴⁾

2³ × 2⁻⁴ = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

$2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5$

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0

2 years ago

Suppose that a population parameter is 0.1, and many samples are taken from the population. If the size of each sample is 90, wh

mr Goodwill [35]

I think the answer is Letter C - 0.032.

Given: p - 0.1; n - 90
Required: standard deviation of the sample proportion
Solution: To get the standard deviation of the sample proportion, we will use this formula - std = √p (1 - p) / n Replace the variables with the given values, then simplify.
std = √0.1 (1 - 0.1) / 90
std = √0.09 / 90
std = √0.001
std = 0.032

3 0

3 years ago

Read 2 more answers

The measure of an angle is 93.6°. What is the measure of a supplementary angle?

laila [671]

Answer:

86.4

Step-by-step explanation:

that sort of angle is the other part of 180° which means that you do 180-93.6 to get 86.4

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3 years ago

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In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but n

solmaris [256]

Answer:

20 by 36

divide and you get answer.

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3 years ago

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A random sample of n = 100 observations is selected from a population with mean 20 and standard deviation 15. What is the probab

hjlf

Answer:

25.14% probability of observing a mean greater than 21

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .