Use the graph to determine which values can be used to complete the equation x^2/a^2-y^2/b^2=1. a= b=

Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a cr

kaheart [24]

Answer:

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

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

Uniform distribution from 0 to 4.8 seconds.

This means that $a = 0, b = 4.8$

61% of the time a person will wait at least how long before the wave crashes in?

This is the 100 - 61 = 39% percentile, which is x for which $P(X \leq x) = 0.39$ . So

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

$0.39 = \frac{x - 0}{4.8 - 0}$

$x = 4.8*0.39$

$x = 1.872$

61% of the time a person will wait at least 1.872 seconds before the wave crashes in.

5 0

3 years ago

It is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. If

gogolik [260]

Answer:

$\frac{1}{240} = 0.0042$ = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Desired outcomes:

Drake then Todd, so only one outcome, which means that $D = 1$

Total outcomes:

Two students from a set of 16, so:

$T = P_{16,2} = \frac{16!}{14!} = 16*15 = 240$

What is the probability that the first 2 presentations will be by Drake and Todd, in that order?

$p = \frac{D}{T} = \frac{1}{240} = 0.0042$

$\frac{1}{240} = 0.0042$ = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.

3 0

3 years ago

Integrate the following function:

anzhelika [568]

You can't integrate this function

8 0

3 years ago

How do I simplify this?8

defon

8 factors are : 1, 2,4,8

5 0

4 years ago

A gambler in Las Vegas is cutting a deck of cards for $1,000. What is the probability that the card for the gambler will be the

White raven [17]

Answer:

a. 3/13 or 23.08%

b. 1/13 or 7.69%

c. 1/4 or 25.00%

d. 1/52 or 1.92%

Step-by-step explanation:

Number of cards in a deck = 52

a. A face card

Considering there are four suits and each suit has three different face cards, the probability that the card is a cafe card is:

$P_{F} =\frac{3*4}{52}\\ P_{F} =\frac{3}{13}$

b. A queen

There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:

$P_{Q} =\frac{4}{52}\\ P_{Q} =\frac{1}{13}$

c. A spade

There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:

$P_{S} =\frac{1}{4}$

d. A jack of spades

Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:

$P_{J+S} =\frac{1}{52}$

5 0

3 years ago