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3 years ago

Do natural numbers have multiplicative inverse

Mathematics

1 answer:

hodyreva [135]3 years ago

6 0

No,because a multiplcative inverse is when your changing a division or multiplcation sign!

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(3, -3); m = -2 In standard form

xz_007 [3.2K]

In y=mx +b?

If so then -3=-2(3)+b
B=3

6 0

2 years ago

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

2 years ago

A juggler is performing her act using several balls. She throws the balls up at an initial height of 4 feet, with a speed of 15

mestny [16]

The correct answer is B) 1.15 seconds.

8 0

3 years ago

ZA and B are complementary angles. If m_A = (x – 15)° and m ZB = (x + 3)º, then find the measure of ZB.

BlackZzzverrR [31]

Answer:

ZB = 54

Step-by-step explanation:

Complementary angles add to 90 degrees

ZA + ZB = 90

x-15 + x+3 = 90

Combine like terms

2x-12 =90

Add 12 to each side

2x-12+12 = 90+12

2x = 102

Divide by 2

2x/2 = 102/2

x = 51

We want to find the measure of ZB

ZB = x+3

ZB = 51+3

ZB = 54

8 0

2 years ago

How far from an airport can an airplane fly and return in 8 hours, if it's outgoing speed is 160 km per hour and it's returning

PilotLPTM [1.2K]

speed = distance/time
total time is 8 hours

outgoing speed is 160 km per hour,
so time = d/160

returning speed is 240 km per hour,
so time = d/240

d/160 + d/240 = 8

3d/480 + 2d/480 = 8
5d/480 = 8
5d =480 (8)
5d = 3840
d=3840/5
d=768

answer: so the distance is 768 km

4 0

3 years ago

Read 2 more answers