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3 years ago

For a continuous random variable x, the probability density function f(x) represents

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

Answer:

Option d.

Step-by-step explanation:

we know that

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.

The curve is called the probability density function (abbreviated as pdf).

We use the symbol f(x) to represent the curve

therefore

The probability density function f(x) represents . the height of the function at x.

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A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for

aleksandrvk [35]

Answer:

If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.

7 0

3 years ago

180 ° 35 ° X ° X = ? °

just olya [345]

Answer:

x=145°

Step-by-step explanation:

180 = 35 + x

x = 180-35

x= 145°

3 0

3 years ago

Isolate the x 3x+3y=-3

kirza4 [7]

Answer:

Step-by-step explanation:

3x + 3y = -3 given

3x = -3y - 3 subtract 3y from both sides

x = -y -1 divide everything by 3

hope this helps <3

3 0

3 years ago

If the Laffite family deposits $8500 in savings account at 6.75% interest, compounded continuously, how much will be in the acco

vitfil [10]

Answer:

Option b

Step-by-step explanation:

We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years

Then you must use the annual compound interest formula, which is represented by a growing exponential function:

$y = e ^{ht}$

Where:

h is the interest rate of 0.675

y is the money in the savings account as a function of time

Then substitute the values in the formula and we have:

$y = e ^{0.675(25)}$

$y = 45,950.57$

4 0

3 years ago

Part of the student's solution for finding the quotient 288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2 Which

Neporo4naja [7]

Answer:

A. 10 + 2

Step-by-step explanation:

288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2

After obtaining the quotient of 288 ÷ 24 = 10,

Multiplying the divisor 24 by 10 = 240 and subtracting 240 from 288 to obtain the remainder = 48, the divisor is again used in 48 and the quotient obtained is added to the intula quotient value of 10 ; (10 + 2) and the process repeated

6 0

2 years ago