All categories

2 years ago

Which interval for the graphed function contains the local maximum?

Mathematics

1 answer:

Kamila [148]2 years ago

8 0

Answer:

Step-by-step explanation:

Definition: Suppose that $f(x)$ is a function and $D(f)$ is the domain of $f(x).$ If $a\in D(f),$ we say that $f(a)$ is a Local Maximum on $f(x)$ if $f(a)\ge f(x)$ when $x$ is near $a.$ (See attached diagram for details)

From your graph you can see that the local maximum is nearly x=1.5, so interval [1,2] contains the local maximum.

You might be interested in

7) A coin is tossed three times, with 'heads' or 'tails' recorded after each toss. The number of possible outcomes for this expe

makkiz [27]

2^3 = 8 outcomes possible.

5 0

3 years ago

An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected ad

VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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 level of $1-\alpha$ , 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:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that $n = 323, p = 0.86$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978$

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

5 0

3 years ago

88.47 feet converted into the nearest sixteenth of an inch is

BabaBlast [244]

The answer is 4 feet 3 1/2 inch

3 0

3 years ago

Read 2 more answers

Find the product of 487.9573 and 1,000.

maria [59]

487.9573 * 1000 = 487947.30

As you can see, the first number has a decimal point, and the second number is 1000. You can drop the 0s in the 1000 leaving 1 to multiply with the first number. Simply move the decimal point to the right based on the number of 0s there are on the second number.

Since, 1000 has three 0s. Move the decimal point 3 times to the right of the number. So, from 487.9573 to 487957.3

If the function is division but the numbers are the same, you must move the decimal point to the left.

6 0

3 years ago

How do you do partial quationet

Orlov [11]

In partial-quotients division, it takes several steps to find the quotient. At each step, you find a partial answer (called a partial quotient); then you find the product of thepartial quotient and divisor and subtract it from the dividend. Finally, you add all thepartial quotients to find the final quotient.

7 0

3 years ago