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Karo-lina-s [1.5K]

1 year ago

5

1. Simplify .........

1 answer:

leva [86]1 year ago

8 0

Answer:

Pretty sure it would be sin(0) cos (0) - sin^2(0)

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Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

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.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

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

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Please help with three questions!! Worth 98 points!!

qwelly [4]

Answer:

Please show us the questions and will help further this discussion.

4 0

3 years ago

Read 2 more answers

How many litres of milk can be put in six hemispherical bowl each of diameter 35cm

Lesechka [4]

Answer:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

Step-by-step explanation:

The volume of a hemisphere ( $V$ ), measured in cubic centimetres, is obtained from this formula:

$V = \frac{2\pi}{3}\cdot R^{3}$

Where $R$ is the radius of the hemisphere, measured in centimetres.

We know that radius is the half of the diameter ( $D$ ), measured in centimetres, then:

$R = 0.5\cdot D$

( $D = 35\,cm$ )

$R = 0.5\cdot (35\,cm)$

$R = 17.5\,cm$

Now, we get the volume of each hemispherical bowl:

$V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}$

$V \approx 11224.649\,cm^{3}$

The total volume of six hemispherical bowl is:

$V_{T} = 6\cdot V$

$V_{T}= 6\cdot (11224.649\,cm^{3})$

$V_{T} = 67347.894\,cm^{3}$

From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

$V_{T} = 67.348\,L$

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

3 0

3 years ago

Alborosie

Answer:

A

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

When did the number of people increase faster?

Pavel [41]

Answer:

i dont know

Step-by-step explanation:

7 0

1 year ago