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V125BC [204]
3 years ago
12

Mr. Brady draws a fraction on the board. Ken says it's 2/3, and Dan said it's 3/2. Do both of these fractions mean the same thin

g? If not, which fraction is greater? ​
Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer:

Both of these fractions do not mean the same thing. The greater fraction is 3/2.

Step-by-step explanation:

qwelly [4]3 years ago
4 0

Answer:

3/2 is greater than 2/3

Step-by-step explanation:

2/3 means 2 divided by 3. Since 2 is smaller than 3, 2 divided by 3 is less than 1.

3/2 means 3 divided by 2. Since 3 is greater than 2, 3 divided by 2 is greater than 1.

3/2 is greater than 2/3

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A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the
vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 0
3 years ago
In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C
horrorfan [7]

Answer:

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

Step-by-step explanation:

<em>Step(i)</em>:-

<em>Given sample size 'n' =300</em>

Given data  random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

<em>Given sample proportion </em>

<em>                        </em>p^{-}  = \frac{x}{n} = \frac{182}{300} =0.606

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

<em>90% confidence interval for the proportion is determined by</em>

(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} }  , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })

(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} }  ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })

(0.6066 -  0.0463  ,0.6066 +  0.0463)

(0.5603,0.6529)

<u>final answer</u>:-

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

5 0
3 years ago
URGENT PLEASE HELP ME, ITS DUE IN A HOUR ​
Olegator [25]

Answer:

Area of gray region = 8x^2+8x-7

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

<em>Total</em> area of the room: 13x^2+7x-2

Area taken up by furniture: 5x^2-x+5

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = 13x^2+7x-2-(5x^2-x+5)

Remember to distribute the negative sign:

Area of gray region = 13x^2+7x-2-5x^2+x-5

Combine like terms:

Area of gray region = 8x^2+8x-7

7 0
3 years ago
Read 2 more answers
A certain colony of bacteria triples in length every 10 minutes, its length is now 1 millimeter. How long will it be in 40 minut
Law Incorporation [45]

Answer:

81 mm

Step-by-step explanation:

Now: 1 mm

In 10 minutes: 3 * 1 mm = 3 mm

In 20 minutes: 3 * 3 mm = 9 mm

In 30 minutes: 3 * 9 mm = 27 mm

In 40 minutes: 3 * 27 mm = 81 mm

Answer: 81 mm

3 0
3 years ago
List three words or phrases used in real life that indicate positive numbers.
maksim [4K]
Hi so I’m going to answer your problem which is “List three words or phrases used in real life that indicate positive numbers,” so let’s get right into it!

You can it as temperature too, today is 80+ degrees outside!

You can also use an the floors of which an elevator takes you in which direction it takes upwards or downwards like “take the elevator 4 floors up”

You can also use gas as a thing we use in real life, it also indicates numbers

Like gas is __ a gallon cheaper this week
3 0
2 years ago
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