This table shows the input and output values for a linear function f(x).

ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on cons

PolarNik [594]

Answer:

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.056.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Within 4 years of the actual mean

We have to find n for which M = 4. So

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 2.056\frac{\sigma}{\sqrt{n}}$

$2.056\sqrt{n} = 4\sigma$

$\sqrt{n} = \frac{4\sigma}{2.056}$

$(\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2$

$n = (\frac{4\sigma}{2.056})^2$

$(\frac{4\sigma}{2.056})^2$ , rounded up, if needed, citizens should be included in the sample, in which $\sigma$ is the standard deviation of the population.

8 0

3 years ago

Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an add

oksano4ka [1.4K]

Answer:

450 miles
$117.50

Step-by-step explanation:

The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...

$9.00/($0.02/mi) = 450 mi

At that distance, the rental cost is ...

$50 +450×$0.15 = $50 +67.50 = $117.50

Both plans will cost $117.50 for 450 miles of driving.

5 0

3 years ago

Im new please help.someone

sesenic [268]

Answer: 45

Step-by-step explanation:

The rectangle is: 7 * 5

The triangle is: (4 * 5)/2

7 * 5 = 35

4 * 5 = 20

20/2 = 10

10 + 35 = 45

3 0

4 years ago

3 1/8 ( 2/3 +2 2/3 (1 1/4 − 6/5 ))

pentagon [3]

The answer would be -9/40

Here’s how you solve it!

Use PEMDAS through out the whole process

Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))

Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))

Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:

3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)

Then use the greatest common divisor and reduce it by 2

3✖️1/8✖️(2/3➖2/3✖️19/10)

Then reduce again

3✖️1/8✖️(2/3➖1/3✖️19/5)

Then multiply the two factors so it now looks like this:

3✖️1/8✖️(2/3➖19/15)

Now subtract what’s in the parentheses so you get this:

3✖️1/8✖️(➖3/5)

Since a positive multiplied by a negative equals a negative it will now look like this:

➖3✖️1/8✖️3/5

Now all you have to do left is calculate the product to get your answer:

-9/40

Hope this helps! :3

7 0

4 years ago

Question Please help. Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gall

Nadusha1986 [10]

3.5x + 4y = 45 x=6, y= 6 is the most likely answer. Non whole number variations would be: x=8, y=4.25 x=4, y=7.75

4 0

3 years ago