Name two linear expression whose difference is 5x-4

A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the

In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0

3 years ago

The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs

kirza4 [7]

Answer:

1:3 ............... ......

3 0

3 years ago

Help please

Arisa [49]

Answer:

E. Leela Chitnis

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

If a population consisted of 1000 people, a sample of the population could

Levart [38]

Answer: 100

Step-by-step explanation: 10%

3 0

3 years ago

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

Mashcka [7]

<h2>Hello!</h2>

The answer is:

The distance to over by Adam to get to the park is 108 miles.

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

$time=4hours$

$Distance=v*4hours$

For the second equation we have: Travel back from Disnery Park

$time=4hours-2.5hours=1.5hours$

$Speed=v+45mph$

$Distance=(v+45mph)*1.5hours$

Then, if Adam covered the same distance going and coming back, we have:

$v*4hours=(v+45mph)*1.5hours$

$v*4hours=v*1.5hours+45mph*1.5hours$

$v*4hours-v*1.5hours=45mph*1.5hours$

$v*2.5hours=67.5miles$

$v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph$

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

$Distance=(v+45mph)*1.5hours$

$Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles$

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

8 0

3 years ago