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sleet_krkn [62]
3 years ago
10

The amount of time, in minutes, that a woman must wait for a cab is uniformly distributed between zero and 12 minutes, inclusive

. What is the probability that a person waits fewer than 11 minutes
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

P(X\leq x) =\frac{x-a}{b-a}, a \leq x \leq b

And using this formula we have this:

P(X

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917

Step-by-step explanation:

Let X the random variable of interest that a woman must wait for a cab"the amount of time in minutes " and we know that the distribution for this random variable is given by:

X \sim Unif (a=0, b =12)

And we want to find the following probability:

P(X

And for this case we can use the cumulative distribution function given by:

P(X\leq x) =\frac{x-a}{b-a}, a \leq x \leq b

And using this formula we have this:

P(X

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917

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One marble is randomly drawn and then replaced from a jar containing two white marbles and one
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Answer:

1/3.

Step-by-step explanation:

Prob(Drawing white marble) = 2/3

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So:

Prob(Drawing a white then a red marble) = 2/3 * 1/2

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4 0
2 years ago
The weight of a tree is doubling every 3 years and how many years will be way of the tree be 1600% of its weight now
BARSIC [14]
Doubling every 3 years, meaning 200% every 3 years.

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The answer is 24 years.

Hope this helps. - M
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3 years ago
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3 0
3 years ago
In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?
Usimov [2.4K]

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

Adjacent side will be |NP| = 36

Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85

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Here is the answer...

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