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3 years ago

What is the slope of the line graphed below? A. 3 B. -3 C. 1/3 D. -1/3

Mathematics

2 answers:

Stolb23 [73]3 years ago

5 0

The answer is C im pretty sure :)

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

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A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

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:

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

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

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 $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

2 years ago

Which expression represents the inverse of y = 12x - 3

a_sh-v [17]

y = x + 3 / 12
This is your answer.

4 0

3 years ago

Read 2 more answers

Peter Schmidt ordered sandwiches and salads for a luncheon meeting. The sandwiches cost three times as much as a salads. The tot

evablogger [386]

EXPLANATION

Let's see the facts:

$Sandwiches= 3*$Salads

Bill = $24.92

We can represent this in an equation:

Total Bill = Sandwiches + Salads

Let's call to Sandwiches "x" to Salads "y" and to Bill "B"

Then, the equation will be:

B = x+y = (3*y) + y

Applying distributive property:

24.92 = 3y + y

Adding similar terms:

24.92 = 4y

Dividing both sides by 4:

6.23 = y

Switching:

y=6.23

As we know, y variable represent the salads cost, so:

Answer is $6.23.

3 0

11 months ago

Please help with algebra

gregori [183]

Answer:

54%

Step-by-step explanation:

6 0

2 years ago

How many places are in fifty million without writing the number in standard form?

Natali [406]

In order to answer this problem, you need to remember the place – value chart since you don't want to convert the number to its standard form. The number "fifty million" has nine places. Enumerating from the left would be:

- Ones - Tens - Hundreds - Thousands - Tens thousands - Hundreds thousands - Millions - Tens millions

8 0

3 years ago