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3 years ago

15

lyle bought a baseball card for 800 dollars. if the value of the card decreases by 1.5 percent each year, find the value of the

card after 12 years

1 answer:

NemiM [27]3 years ago

5 0

Answer:

667.30

Step-by-step explanation:

Well we can right this equation as 800(.985)^x it's an exponential function then we substitute x for 12 and get 667.30

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A random sample of size n1= 25, taken from a normal population with a standard deviation σ1= 5, has a mean X1= 80. A second rand

sesenic [268]

Answer:

The 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X_1 =80$ represent the sample mean 1

$\bar X_2 =75$ represent the sample mean 2

n1=25 represent the sample 1 size

n2=36 represent the sample 2 size

$\sigma_1 =5$ sample standard deviation for sample 1

$\sigma_2 =3$ sample standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =80-75=5$

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.88$

The standard error is given by the following formula:

$SE=\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$

And replacing we have:

$SE=\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=1.118$

Confidence interval

Now we have everything in order to replace into formula (1):

$5-1.88\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=2.898$

$5+1.8\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=7.102$

So on this case the 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

7 0

3 years ago

Which expression is equivalent to 4(x+2)?

Alex73 [517]

Hello!

You can expand the 4

4x + 8

the answer is 4x + 8

Hope this helps!

5 0

2 years ago

A small telescope magnifies

WARRIOR [948]

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

small telescope = 150 times
large telescope = 3300

<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

$x = \frac{3300}{150}=22$

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0

2 years ago

2.What solid figure is described by a water hose?

expeople1 [14]

Answer:

cylinder <3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Engineering students at Lancaster College last year received an average of $6,400 in scholarships and grants. This year, the ave

valentinak56 [21]

Answer:

79% decrease

Step-by-step explanation:

Subtract 6400-1344=5056

Find percent decrease (5056/6400)x100=79

79% decrease is our final answer

8 0

3 years ago