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1 year ago

Which of the following describes the behavior of the graph shown over the interval (-2,2)?

Mathematics

1 answer:

sergejj [24]1 year ago

7 0

Hello!

We are trying to describe the behavior of the graph given in the question.

To help us understand how to solve this question, we would need to understand concavity.

There are two types of concavity:

Concave up
Concave down

When a graph is concave up, the slope of the line would look like a "U".

When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.

In this case, we can see that the graph is concave down.

We can tell that the slope is negative due to the fact that the slope is going down, which results in the graph having a negative slope.

We can also tell that the graph is decreasing due to the fact that the line is doing downward.

Answer:

C). negative and decreasing

You might be interested in

What is the equation of the parabola that has its vertex at (8,-1) and a y-intercept of

KIM [24]

Answer:

C) y=1/4(x - 3)2 - 1

Step-by-step explanation:

4 0

2 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 144 millimeters,

valentinak56 [21]

Answer:

The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

μ = 144 mm

σ = 7 mm

n = 50.

Since n = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

$\bar X\sim N(\mu_{\bar x}=144, \sigma_{\bar x}^{2}=0.98)$

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:

$P(\bar X-\mu_{\bar x}>2.6)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}} >\frac{2.6}{\sqrt{0.98}})$

$=P(Z>2.63)\\=1-P(Z$

*Use a z-table for the probability.

Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

8 0

2 years ago

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and multi

tia_tia [17]

Hello!

You can break this down

If she added 8 to the number

x + 8

Multiplied the sum by 2

2(x + 8)

it would equal 6

2(x + 8) = 6

The answer is B

Hope this helps!

3 0

3 years ago

1.Selena is studying about a square with side x, and a rectangle whose length is

kondaur [170]

Answers:

1. No I don't agree with Selena because the area of the rectangle has the exact same area of the square

Step-by-step explanation:

1. square = x

rectangle length = 6 + x

rectangle width = x - 6

the plus 6 and minus 6 cancel each other out and make the same area that the square has.

Im sorry i dont know what the answe to 2 is.

3 0

1 year ago

4,284 passengers traveling by the intercity bus every day, the intercity bus operates 6 hours every day, find the number of pass

Lemur [1.5K]

Answer:

714

Step-by-step explanation:

So lets go over what we know.

The bus only goes for 6 hours each day.

So lets just think of a full day as 6 hours.

Each day(6 hours), 4284 passangers ride the bus.

To find passangers per hour, we must divide the total passangers by the total hours.

This is 4284(total passangers) divided by 6(total hours):

4284/6

714

So each hour, there are 714 passangers.

Hope this helps!

7 0

3 years ago