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2 years ago

HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!

Mathematics

1 answer:

Taya2010 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Any parallel line to the Y axis is infinite/undefined. Which means no function at all.

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Jack is a college athlete who has been weighing himself weekly on the same scale in the athletic center for the past few years.

Radda [10]

Answer:

a) Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

b) $\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

c) $\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

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".

$\bar X= 200$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=3$ represent the population standard deviation

n=9 represent the sample size

Part a

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

Part b

The distribution for the sample mean is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

Part c

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

8 0

3 years ago

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5$5 from e

Leviafan [203]

Subscription fee for a month = $ 5

Subscription fee for a writer who signs up = $ 5

Number of subscribers last month = 200

New members who joined the website = 40

Number of subscribers who left the website = 10

Hence, total subscribers in the present time = $200+40-10=230$

Now, total subscription fee received this month = $5\times230=1150$

Hence, the answer is $1150.

3 0

3 years ago

Read 2 more answers

Find the area of a regular octagon with an apothem length of 10 and a side length of 6.

Sauron [17]

Answer:

A = 240 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = $\frac{1}{2}$ pa ( p is the perimeter and a the apothem )

here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then

A = $\frac{1}{2}$ × 48 × 10 = 24 × 10 = 240 units²

8 0

2 years ago

Read 2 more answers

Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tick

Gemiola [76]

Answer:

414 tickets!

Step-by-step explanation:

If there were sold 92 adult tickets, and for every two of them, 7 student tickects are sold, we have the following:

92 / 2 = 46

Multiply by 7.

46 * 7 = 322 student tickets.

322 students tickets + 92 adult tickets = 414 tickets in total.

7 0

2 years ago

The following figure is a regular hexagon. What is the value of w?<br><br> ILL GIVE BRAINLIEST!!!!

earnstyle [38]

The sum of the interior angle of a polygon is 720°, thus the value of w will be obtain as follows:
size of each angle is
720/6=120°
thus
8w=120
solving for w we get'
(8w)/8=120/8
w=15°
Answer: w=15°

6 0

2 years ago