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shusha [124]
2 years ago
12

According to a flyer created by BroadwayPartyRental.com, their 18-inch helium balloons fly,

Mathematics
1 answer:
iogann1982 [59]2 years ago
7 0

According to the described situation, it is found that:

1. H_0: \mu = 32, H_1: \mu \neq 32.

2. Since the interval does not include 32, hence you can reject the null hypothesis and there is enough evidence to conclude that the actual mean flight time of all balloons differ from the advertised 32 hours.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean flight time is of 32 minutes, that is:

H_0: \mu = 32

At the alternative hypothesis, it is tested if it differs of 32 minutes, hence:

H_1: \mu \neq 32

<h3>What is the decision?</h3>

The confidence interval is of (28.5, 31.4), that is, is does not include 32, hence you can reject the null hypothesis and there is enough evidence to conclude that the actual mean flight time of all balloons differ from the advertised 32 hours.

More can be learned about an hypothesis test at brainly.com/question/26454209

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The projected T. rex is about
dolphi86 [110]

Answer: scale\ factor=230

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

actual\ height=2\ cm

The height of the projected T-rex is:

projected\ height=4.6\ m

Make the conversion from meters to centimeters:

projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm

Therefore, the scale factor will be:

scale\ factor=\frac{projected\ heigth}{actual\ heigth}

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230

7 0
3 years ago
The equation of the line passes through the points (-2,0) and (-2,3) is
Iteru [2.4K]

Answer:

See my explanation.

Step-by-step explanation:

y=-2

5 0
3 years ago
Complete the square x^2-10=16<br><br>​
Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

 (x ± h)² , where b = 2h and c = h²

# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

 completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

3 0
3 years ago
*PLEASE HURRY* WILL GIVE BRAINLIEST* Write the equation in the form ax^2 + bx+c=0 where a &gt; 0, if necessary. Then identify th
yKpoI14uk [10]

Answer:

a= 3

b=-4

c=-8

Step-by-step explanation:

3x²=4x+8

since the 4X is positive it will cross the equal sign and become negative and the same goes for 8,and this will leave nothing on the right of the equal sign therefore it will become 0

3x²-4x- 8= 0

the above equation is now in the form required

ax²+bx+c=0

so substitute the values according and u will see that a= 3

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hope this helps

5 0
4 years ago
Let W(x,y) mean that student x has visited website y, where the domain for x consists of all students in your school and the dom
nikklg [1K]

Answer:

The statement can be expressed as

There are two different students in your class who have visited the same websites.

Step-by-step explanation:

Given that

- W(x, y) mean that student x has visited website y.

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- The domain of y consists of all website.

It would help to know the meaning of the symbols used, this will help understand the statement better.

- ∧ means conjuction

- ∃ means 'there exists'

- ∀ means 'for all'

- ≠ means 'different from'

- ↔ means 'if and only if'

The statement

∃x∃y∀z((x ≠ y) ∧ (W(x, z) ↔ W(y, z)))

can be expressed as:

There are two different students in your class who have visited the same websites.

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