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3 years ago

Which best describes the range of the function f(x)=2/3(6)^x after it's been reflected over the x-axis

1 answer:

8 0

The function $6^x$ is an exponential with base greater than 1. So, its range is $(0,\infty)$ , with 0 being the horizontal asymptote as $x \to -\infty$ .

If you multiply the function by $\frac{2}{3}$ , the range remains the same.

If you reflect it over the x-axis, you're changing the sign of the function. So, the new range is

$(-\infty,0)$

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Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye

slega [8]

Answer:

A sample size of 1031 is required.

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 $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

37% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.37$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

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

$0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}$

$\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2$

$n = 1030.4$

Rounding up:

A sample size of 1031 is required.

4 0

3 years ago

A manufacturer of mosquito repellent claims that the average amount of time their repellent is effective is at least 3.5 hours.

natta225 [31]

Answer:

Hypothesis Testing:

Manufacturer claims that the average of time their mosquito repelllent is effective is at least 3.5hrs l.e μ ≥ 3.5hrs

Step-by-step explanation:

5 0

2 years ago

Complete the steps to solve the inequality:<br><br> 0.2(x + 20) – 3 > –7 – 6.2x

KIM [24]

Answer:

x > -1.25

Step-by-step explanation:

First, let's start with the left side of the equation.

1) multiply 0.2(x + 20). You will get 0.2x+4

So you have 0.2x+4-3

Simplify that, you will have 0.2x+1

Now, we need to isolate the variable (bring all terms with "x" to one side), and move everything else to another side. Remember that when you bring something to the other side, you must change the sign in front of the term (for example, bringing 2x to another side would change it to -2x. another example is if you were to bring -2 to another side, you would have to change it to 2.)

2) 0.2x+6.2x>-7-1 Moved like terms to one side.

6.4x>-8 I combined the terms here!

x > -1.25 Simplified!

Let me know if you need anything else :)

5 0

3 years ago

Read 2 more answers

How to know if a problem is permutation or combination?

vredina [299]

If the order matters it is a permutation. For example: if you are selecting 3 people to be on a committee it doesn't matter what order you select them, but if you're selecting three people to be president, vice president, and secretary the order in which you choose them matters the first person being president, the second person being vice president, and the third person be secretary

6 0

2 years ago

20 points-<br> I need help

ASHA 777 [7]

Answer:

11 is 150

12 is 168 lectures and 70 professers

Step-by-step explanation:

4 0

2 years ago