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Korolek [52]
3 years ago
13

The backgrounds on three computer screens are set to change after a specified amount of time, as

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer:

-6 7/hr= -6F per hour

Step-by-step explanation:

a rate of change can be defined as:

R=(total change in some quantity) (time in which the change happened)

In this case we know that the temperature dropped -30F in a given time, then we already know that:

Total change in some quanity =-30F now we know that this change took place between the 1:00pm and the 7:00 pm the total amount of ime between these two hours is:

T= (7.00 - 1.00 hr)= 6.00 hr

this means that the change happened =6 hours.

then we can replace these values in the above equation to get:

R=(-30F)/(6hr)=-6F/hr

this means that for each hours that passes the temperature decreases 6F

we also can write that this rate as:

R=-6F/HR =-6F per hour.

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An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24
melisa1 [442]

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

H_0: p = 0.88

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

H_a: p < 0.88

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that \mu = 0.88, \sigma = \sqrt{0.88*0.12}

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that n = 160, X = \frac{138}{160} = 0.8625

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}

z = -0.68

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

7 0
2 years ago
Please help me thanks!​
lions [1.4K]
5 x 16 x 4 = 320 m^3
3 0
3 years ago
Factoring trinomials
Tcecarenko [31]

c^22c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)


This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying  c^2. This is the second line. Then, you could take the square of the 4c^2, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want 4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have (2c + 6) (2c +7)

The last step is divide by the number that we multipy in the first step.

4 0
3 years ago
Find the volume of a cylinder of radius 10 cm and height 22 cm. ANSWERS: 6,911.5 cm3 691.2 cm3 20.9 cm3 62.8 cm3
goldfiish [28.3K]

Answer:

= 6911.5 {cm}^{3}  \\

Step-by-step explanation:

v = \pi {r}^{2} h \\  = \pi \times  {10}^{2}  \times 22 \\  = 6911.5 {cm}^{3}

hope this helps you.

7 0
2 years ago
On average, there are 3 pages in every chapter of a James Patterson novel. Each book has approximately 79 chapters. James Patter
sdas [7]

Answer:13746

Step-by-step explanation:

3 * 79 = find amount of pages on average per book

= 237


237 * 58 = find amount of pages written for 58 books

=13746


James Patterson has written approximately 13,746 pages

6 0
3 years ago
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