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3 years ago

A population of values has a normal distribution with u = 69.4 and o = 18.9. You intend to draw a random

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

Answer:

234

Step-by-step explanation:

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The movie theater has 250 seats 225 seats were sold for the carriage showing what percent of seats are empty?

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Well 25 seats are available so 25/250 equals 0.1 or
10%

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3 years ago

2x^2-3x-2=0 zero product property

DIA [1.3K]

$2x^2-3x-2=0 \\
2x^2-4x+x-2=0 \\
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2x+1=0 \ \lor \ x-2=0 \\
2x=-1 \ \lor \ x=2 \\
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3 years ago

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3 years ago

What is 6 hours equal to in minutes

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3 years ago

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Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.

likoan [24]

Let $v$ be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

$\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}$

where $s_A,\ s_B$ are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if $s_A=s_B$ , and we know that this happens after two hours, i.e. at $t=2$

$\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450$

Solving this equation for v we have

$2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105$

So, train A is travelling at 105 km/h. This implies that train B travels at

$105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}$

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3 years ago