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2 years ago

Given f(x), match each expression to its correct value

Mathematics

2 answers:

larisa [96]2 years ago

6 0

Number 1 is 2

Number 2 is 1

Number 3 is -11

Number 4 is 7

What you do is see the value of x in each question and see if it satisfies the requirement.
If x is less than -2(like in number 1), you substitute it into that equation and solve for x

If x is greater than or equal to -2(like in number 2,3, and 4), you substitute the value of x into the second equation.

Hope you understand!

Murljashka [212]2 years ago

5 0

Answer:

-11, f(-5) 1

Step-by-step explanation:

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Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if t

otez555 [7]

Answer:

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

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:

$n = 300, \pi = \frac{57}{300} = 0.19$

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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 - 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.1456$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 + 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.2344$

4 0

3 years ago

Given the length of three sides of a triangle, which is a right triangle?

RSB [31]

The aides of a right triangle will always satisfy the Pythagorean relationship ...

 a² + b²= c²

We can take each of these and try it out:

(1) ... 10² + 24² = 100 + 576 = 676
 √676 = 26 Yes.

(2) ... 12² + 18² = 144 + 324 = 468
 √468 = 21.6, not 20. No.

(3) ... 15² + 26² = 225 + 676 = 901
 √901 = 30.017 Awfully close. As an engineer, I'll buy this one. Yes.

(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
 √4,100 = 64.03, not 80. No.

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3 years ago

Read 2 more answers

the distance d, in meters, that a rhinoceros runs in s seconds is represented by the equation d=16s. What is the constant of pro

Akimi4 [234]

Do you have notes from class?

5 0

3 years ago

Graph the line: y= -2x-1

lisabon 2012 [21]

Hey there!

Here is the equation graphed. (photo)

Hope this helped!