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2 years ago

Which of the following could represent the graph of f(x) = y3 – x2 - 6x?

Mathematics

1 answer:

professor190 [17]2 years ago

6 0

Answer: A

Step-by-step explanation:

$x^{3}-x^{2}-6x=0 \\ \\ x(x^{2}-x-6)=0 \\ \\ x(x-3)(x+2)=0 \\ \\ x=-2, 0, 3$

So there needs to be roots at x=-2, 0, and 3.

Also, the end behavior needs to approach infinity as x approaches infinity and negative infinity as x approaches negative infinity (since the leading coefficient is positive). This rules out the last option.

Now, we can also use the fact that the maximum number of turning points is one less than the degree, for a maximum of 2 turning points. This rules out the middle option as well.

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The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b

ANEK [815]

Answer:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(63.6,2.5)$

Where $\mu=63.6$ and $\sigma=2.5$

We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We want this probability:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

4 0

3 years ago

How are percents,fractions,and riotous related

kotegsom [21]

Answer:

u need decimals for all of them or u at least use them a lot

Step-by-step explanation:

8 0

3 years ago

Hi what is the answer

mr_godi [17]

Answer:

A = 176.63 cm²

Step-by-step explanation:

Area of circle = π r ²

A = (3.14)(7.5)²

A = (3.14)(56.25)

A = 176.63 cm²

8 0

3 years ago

Read 2 more answers

X^5-2x^4

sergeinik [125]

Answer:

x ≠-8 x ≠ -2

Step-by-step explanation:

We cannot divide by zero, so the denominator cannot equal zero

X^2+6x-16≠0

Factor

(x+8) (x-2) ≠0

Using the zero product property

(x+8) ≠0 (x-2) ≠0

x ≠-8 x ≠ -2

8 0

4 years ago

11. Kurtis is a video salesman. On each sale he earns a commission of 12%. One of

Contact [7]

Answer:

114

Step-by-step explanation:

550*12%=66

400*12%=48

48+66=114

7 0

3 years ago