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3 years ago

5

a towns population has been decreasing at a constant rate. In 2007 the population was 5100. by 2011 the population had dropped t

o 4800

1 answer:

Gelneren [198K]3 years ago

6 0

75, because 300 (5100-4800) divided by 4 ( 2007-2011) is 75. The towns population decreased at a constant rate of 75.

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A cylindrical tube has a radius of 4 inches and a height of 14 inches could some one help me find the volume

pickupchik [31]

The volume of the cylinder is the area of the base (a circle) times the height (you can immagine taking a disk, the base, and translate it along the height to "fill" the cylinder).
So you have:
$V=area.circle*height= \pi r^{2}*h = \pi 4^{2} *14=703.4 in^{2}$

8 0

3 years ago

What is the average of 4 1/2, 3 1/3, 2 , 2 1/6

Zinaida [17]

Answer:

3

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

$4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12$

$\frac{12}{4} =3$

$Answer: 3$

4 0

3 years ago

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

So

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

So

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$

$\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}$

=> $\sigma = 8340$

Generally the test statistic is mathematically represented as

$t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }$

$t = -1.727$

From the z-table the p-value is

$p-value = P(Z > t) = P(Z > -1.727) = 0.95792$

From the values obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0

3 years ago

50 POINTS!!! jamie will choose between two catering companies for an upcoming party. company A chargers a set-up fee of $500 plu

Shtirlitz [24]

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

5 0

2 years ago

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Writing inequalities <br>eight less than or equal to seventeen

djyliett [7]

Answer:

8>17

Step-by-step explanation:

It would be less than because 8 is smaller than 17 and 17 is bigger than 8.

3 0

2 years ago

Read 2 more answers