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4 years ago

Given the following values for a quadratic function, which is the graph of the function? (–1, 0), (0, 3), (1, 4), (2, 3), (3, 0)

Mathematics

1 answer:

Firdavs [7]4 years ago

3 0

Answer:

The function of the graph is f(x) = - x² + 2x + 3

Step-by-step explanation:

Using the value of the graph we can say that the the function is negative x² because there are x-intercepts and the y-intercept if above 0.

Using the x-intercepts we can form the function of the graph:

-(x + 1)(x - 3) - we have a negative in front of the two brackets because the function is a negative. Now we multiply out the brackets and the negative at the end:

-(x² - 2x - 3)

- x² + 2x + 3 - So the function of the graph is:

f(x) = - x² + 2x + 3

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Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 16 women

loris [4]

Answer:

μ= 65 inches; σ= 0.625 inch

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 65, \sigma = 2.5$

By the central limit theorem, the sample of 16 will have:

$\mu = 65, \sigma = \frac{2.5}{\sqrt{16}} = 0.625$

So the correct answer is:

μ= 65 inches; σ= 0.625 inch

8 0

3 years ago

Which statement correctly compares the mean number of students for the data in the plots?

satela [25.4K]

Answer:

"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

Step-by-step explanation:

We need to compute the mean for each.

Poplar Middle School:

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

435/20 = 21.75

Oak Middle School:

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

483/20 = 24.15

The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - "There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."

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Marianna [84]

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