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notsponge [240]
3 years ago
10

Is it true that a smaller standard deviation means the data set tended to cluster around the mean?

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0
Yes it is true that a small deviation means the data set tended to cluster around the mean . 
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Solve the equation for the variable.<br><br> 15.25 – 3.8x = -26.75 +2.2x<br> x = [?]
nirvana33 [79]
X=-2.3

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2 years ago
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

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What is the end behavior of the graph?
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As you can see in the graph as x grows larger in the negative direction, the y increases in the negative direction too.

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\lim_{x \to -\infty} f(x) = -\infty

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2 years ago
Factorise x squared - 4x
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3 years ago
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