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2 years ago

Despite booming new car sales with their cha-ching

Mathematics

1 answer:

Elena-2011 [213]2 years ago

6 0

Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

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Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

This leads us to go from y = mx+b to y = 1250x+30100

Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

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Next, we plug in y = 47600 and solve for x.

y = 1250x+30100

47600 = 1250x+30100

47600-30100 = 1250x

17500 = 1250x

1250x = 17500

x = 17500/1250

x = 14

This means 14 years after the year 2008 is when the average new car price will be $47,600.

2008+14 = 2022

2022-2014 = 8

Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.

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Write and algebraic expression , Twice a number n

kenny6666 [7]

Answer:

2(n) or 2n

Step-by-step explanation:

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3 years ago

According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most

AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

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

For this problem, we have that:

$n = 186, \pi = 0.11$

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 $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

His 95% confidence interval is (0.065, 0.155).

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3 years ago

The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di

Roman55 [17]

Answer

Length measured using Ruler A= 1.17 dm

Length measured using Ruler B=1.18 dm

Step by Step Explanation:

I have added the missing photograph which shows the length of pencil being measured with two rulers.

Ruler A has marking separated by 1 dm

Ruler B has marking separated by 0.1 dm

Length measured using Ruler A= 1.17 dm

(As we can see I have added the middle markers, we can see the tip of pencil is somewhere between 1 and 1.25, it is more than 1.125 but lesser than 1.25, it is somewhere around 1.2 and 1.125 dm, approximately equal to one half of 1.25 which is 1.125 with addition of one of the three halves of half of 1.125 which is 1.125+0.045 dm hence 1.17dm)

Length measured using Ruler B=1.18 dm

(we can see the tip of pencil is just before 1.2 dm, it is clear that the value is precisely 1.18 and not 1.19 dm)

Tip:Always measure one more decimal than given by the ruler when unsure about the exact value