Which shows three hundred five million,two hundred eighty thousand, four hundred ninety-six written in standard form?

When written in standard form, the product of (3+x) and (2x-5)

Mariulka [41]

Answer:

2x^2+x-15

Step-by-step explanation:

6x-15+2x^2-5x

2x^2+x-15

5 0

2 years ago

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

3 years ago

(x – 7x4 + 6) + (8x4 – 6 – 5x)

VMariaS [17]

Answer:

The answer is x^4 - 4x

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, Please?

3 0

3 years ago

Paul has a tack stuck in his four-wheeler tire. If the tire has a diameter of 36 inches, how far does the tack travel in 62° of

Aleksandr-060686 [28]

Answer:

31pi/90

Step-by-step explanation:

4 0

3 years ago

Using the distributive property write a numerical expression that is equivalent to 25+10

Diano4ka-milaya [45]

Answer: 5(5 + 2)

Step-by-step explanation: We will be using the distributive property to write a numerical expression that is equivalent to 25 + 10.

The expression 5(5 + 2) is an expression that uses the distributive property and is equivalent to 25 + 10.

5(5 + 2) is equivalent to 25 + 10 because all your doing when using the distributive property is multiply the number outside the parentheses by the numbers inside the parentheses. 5 x 5 = 25 and 5 x 2 = 10, which means 5(5 + 2) equals 25 + 10.

6 0

3 years ago