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3 years ago

Arithmetic and Geometric Sequences

Mathematics

1 answer:

alex41 [277]3 years ago

7 0

Answer:

the object will fall 5060 feet in 10 second.

Step-by-step explanation:

g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.

initial velocity (u)= 16 feet/second

time taken(t)=10 second

final velocity(v)= ?

now,

V= u+ GT

=16+32.67×10

=342.67feet/second

again

distance covered= VT+1/2gt^2

=342.67×10+1/2×32.67×100

=3426.7+1633.33

=5060 feet

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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0

3 years ago

3/4 (x - 3) - 5 = 1/8 ( x - 1 )

KonstantinChe [14]

Answer:

x = - $\frac{57}{5}$

Step-by-step explanation:

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Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

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x = - $\frac{57}{5}$

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3 years ago

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Bess [88]

Answer:

B. Not a function

Step-by-step explanation:

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3 years ago

2-7x-3x=-8x-8 Explain Thanks

Agata [3.3K]

$2-7x-3x=-8x-8\\\\-7x-3x+8x=-8-2\\\\-2x=-10 \ \ /:(-2)\\\\\huge\boxed{x=5}$

4 0

3 years ago

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Temka [501]

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3 years ago