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Sonja [21]
3 years ago
9

How many models does the following set have? 5,5,5,7,8,12,12,12,150,150,150

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0
<h3>Answer:  3 modes</h3>

The three modes are 5, 12, and 150 since they occur the most times and they tie one another in being the most frequent (each occurring 3 times).

Only the 7 and 8 occur once each, and aren't modes. Everything else is a mode. It's possible to have more than one mode and often we represent this as a set. So we'd say the mode is {5, 12, 150} where the order doesn't matter.

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A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
Work out the value of angle x
Alexus [3.1K]

well, it's isosceles so use base angles theorem

the top angle is also x

90 + 2x = 180

subtract 90 from both sides

2x = 90

divide both sides by 2

x = 45 degrees

8 0
3 years ago
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70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there​
bixtya [17]

Answer:

21 moats

Step-by-step explanation:

.70 x 30 = 21

4 0
3 years ago
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A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 18 feet mor
Aleksandr [31]

Answer:

42 ft, 60 ft, 84 ft

Step-by-step explanation:

let x be the shortest side , then the other 2 sides are 2x and x + 18, so

x + 2x + x + 18 = 186 , that is

4x + 18 = 186 ( subtract 18 from both sides )

4x = 168 ( divide both sides by 4 )

x = 42

Then lengths of sides are

x = 42 ft

2x = 2 × 42 = 84 ft

x + 18 = 42 + 18 = 60 ft

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4. Orville and Wilbur Wright made the first airplane flights in
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Step-by-step explanation:

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364 - 120 = 246

O = 246

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