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4 years ago

How to find the average rate of change of a function from x1 to x2 given the values?

1 answer:

6 0

That's just the slope from those points

lests say the function is f(x)

the average rate of change is $\frac{f(x_2)-f(x_1)}{x_2-x_1}$

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According to a poll, 76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing Cali

lina2011 [118]

Answer:

The error bound is 3.125%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

A sample of 506 California adults.. This means that $n = 506$ .

76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that $\pi = 0.76$

We wish to construct a 90% confidence interval

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 1.645\sqrt{\frac{0.76*0.24}{506}} = 0.7288$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 1.645\sqrt{\frac{0.76*0.24}{506}} = 0.7913$

The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:

$EBM = \frac{0.7913 - 0.7288}{2} = 0.03125$

The error bound is 3.125%.

3 0

3 years ago

CAN YOU PLEASE WRITE THE EQUATION AND THE ANSWERS PLSS

Fofino [41]

Answer:

a. $17.50

b. $11.25

c. $5

Step-by-step explanation:

First, set up an equation:

20 - 1.25x = m

Now let's substitute in for x (which is how many snacks you buy) to solve for m (the amount of money you have left):

20 - 1.25 ( 2 ) = m

20 - 2.50 = m

17.50 = m

20 - 1.25 ( 7 ) = m

20 - 8.75 = m

11.25 = m

20 - 1.25 ( 12 ) = m

20 - 15 = m

5 = m

5 0

3 years ago

Read 2 more answers

The population of the USA as of 2009 was about 315 million. What percent of the worlds population is this? * use 7.7 million and

Evgen [1.6K]

Answer: about 40%

Step-by-step explanation:

315,000,000/7,700,000

5 0

4 years ago

Read 2 more answers

I need help making a coordinate proof and it starts with if a quadralateral, then its diagnoles are perpendicular.

zlopas [31]

Answer:

There are a number of ways to show whether a quadrilateral placed on a coordinate plane is a parallelogram or not. Here are a few ways:

1. Show that both pairs of opposite sides are congruent.

2. Show that both pairs of opposite sides are parallel

3. Show that a pair of opposite sides are congruent and parallel

4. Show that the diagonals bisect each other.

In this activity, we will use the Distance, Midpoint and Slope Formulas that we learned in Algebra 1 to show congruent, bisected and parallel segments.

Midpoint, Slope and Distance Formula Review.

The midpoint of a segment in the coordinate plane with endpoints

Step-by-step explanation:

8 0

3 years ago

a company pays 75% police employees Medical Care premium if the employees portion is $50 per month and there are 100 employees t

Reil [10]

Ok i hope this helps you

The type of health insurance coverage that may cover routine doctor visits, X-rays ... If her total bill is $4,000, how much will she be required to pay? A. $400 ... D. The covered employee's death. ... C. Brandon will pay $150 and his insurance company will pay $100. ... C. Disability income insurance paysactual medical costs.

3 0

3 years ago