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2 years ago

1. The total area within any continuous probability distribution is equal to 1.00.

Mathematics

1 answer:

olchik [2.2K]2 years ago

5 0

Answer:

1. True

2. False.

3. True.

Step-by-step explanation:

1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).

Hence, for continuous probability distribution: probability = area.

2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.

Hence, it cannot be computed.

3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.

Hence, it can be computed.

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Shawns rentals charges $27.50 per hour to rent a surfboard and a wet suit. Darlas surf shop charges $23.25 per hour to rent a su

horrorfan [7]

Answer:

4 hours

Step-by-step explanation:

For this, we can set up an equation

We can name the total number of hours x.

So the price for Shawns rentals would be as follows:

27.50x

and Darlas surf shop would be:

23.25x+17

Now, we put these into an equation.

We are trying to find for what number of x will the charges be equal, so we can make this equation:

27.50x=23.25x+17

Now we get the variables on one side, and the numerical values on the other.

We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)

4.25x=17

Divide both sides by 4.25.

x=4

You would rent the equipment for 4 hours to make the charges equal.

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2 years ago

The diameter of Mercury is approximately 4.9×103 kilometers. The diameter of Earth is approximately 1.3×104 kilometers. About ho

-Dominant- [34]

Hi there!

To get the answer to this question, let's divide the diameter of the Earth by the diameter of Mercury.

$\frac{1.3*10^4}{4.9*10^3}$

We can change this to

$\frac{1.3}{4.9}*\frac{10^4}{10^3}$

Let's solve for each individual fraction

$\frac{1.3}{4.9}$ ≈ 0.27

$\frac{10^4}{10^3}$ = 10

Now, multiply.

0.27 * 10 = 2.7

That's your answer.

Have an awesome day/night! :)

~collinjun0827, Junior Moderator

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2 years ago

There are 190 students taking band, chorus , or both. If there are 180 students taking band and 60 students in both hand and cho

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3 years ago

Read 2 more answers

A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist

maw [93]

Answer:

The percent error of the cyclist's estimate is 5.63%

Step-by-step explanation:

Percentages

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

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2 years ago

Elliot has a total of 26 books. he has 12 more fiction books than nonfiction books. let x represent the number of fiction books

KIM [24]

Answer:

X+Y=26

X-Y=12

Step-by-step explanation:

fiction books= X

non fiction books= Y

then,

fiction books= X

non fiction books = X-12

but Y= X - 12

from. the statement,

X+Y = 26

X-Y=12

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1 year ago