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3 years ago

7

A young adult burns 11 calories per minute while jogging. Which function shows how many calories that person will burn in x minu

tes

1 answer:

iragen [17]3 years ago

3 0

Y (Total Calories burnt) = 11 X

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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

The area of the pool is 150feet the pool is 5ft deep what is the volume

Vlad [161]

Answer:

750 cubic (^3) feet

Step-by-step explanation:

6 0

3 years ago

This cuboid is made from 6 small cubes.<br> Write how many small cubes there are in this cuboid

Alexxx [7]

Answer:

30 cubes

Step-by-step explanation:

To find the number of small cubes in the larger cuboid, you can multiply the number of cubes that make up the length, width and height together.

There are 5 cubes along the bottom, 2 along the side and 3 going up. The volume would be 5 × 2 × 3 which is 30 cubes.

Hope this helps!

3 0

2 years ago

True or False. When flipping a penny 14 times the penny likelihood of landing on heads is 7 times.

Elenna [48]

Answer:

True

Step-by-step explanation:

Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.

5 0

2 years ago

Bill has $7.30 in dimes and quarters. He has a total of 40 coins. How many quarters and dimes does he have?

GenaCL600 [577]

Answer:

35 quarter's and 5 dimes

5 0

3 years ago