In the evening you plan to travel to a different part of France. Look at the distance chart below.

The statement some dogs are brown has 16 letters. Choose one of these 16 letters uniformly at random (i.e., with equal probabili

andre [41]

Answer:

Rx = {5,4,3}

The probability mass function can be formulated like this:

Px (3) = p (X = 3) = 3/16

Px (4) = p (X = 4) = 8/16

Px (5) = p (X = 5) = 5/16

Step-by-step explanation:

We have that the probability of choosing a letter (1) at random from the sentence would be 1/16.

We must first finish the length of each word:

some = 4 letters

dogs = 4 letters

are = 3 letters

brown = 5 letters

Therefore, the possible values, that is, the range would be:

Rx = {5,4,3}

since the range has finite set, then the random variable X is discrete random variable

now to find the probability mass function of X and it can be defined as:

Px (X) = P (X = x); where x = 3, 4, 5

Px (3) = p (X = 3)

It will be equal sum of probalities of all the letters that can form the three letter word "are" by letters A, R, E

Probability of getting length 3 when a letter is drawm from the some dogs are brown:

1/16 + 1/16 + 1/16 = 3/16

Px (4) = p (X = 4)

It will be equal sum of probalities of all the letters that can form the four letter word "some" and "dogs" by letters S, O, M, E, D, O, G, S

Probability of getting length 4 when a letter is drawm from the some dogs are brown:

1/16 + 1/16 + 1/16 + 1/16 + 1/16 + 1/16 +1/16 + 1/16 = 8/16

Px (5) = p (X = 5)

It will be equal sum of probalities of all the letters that can form the five letter word "brown" by letters B, R, O, W, N

Probability of getting length 5 when a letter is drawm from the some dogs are brown:

1/16 + 1/16 + 1/16 + 1/16 + 1/16 = 5/16

X 3 4 5

p(X) 3/16 8/16 5/16

4 0

2 years ago

Mr. Carandang sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small

Svetach [21]

The missing number is the framed prints (517)

4 0

2 years ago

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The total cost of a shirt and a tie was $75.62. if the price of the shirt was $4.02 less than the tie, what was the price of the

kifflom [539]

--------------------------------------------
Define x:
--------------------------------------------
Let the tie be x
Tie = x
Shirt = x - 4.02

--------------------------------------------
Construct equation :
--------------------------------------------
The sum of the shirt and tie is $75.62
x + x -4.02 = 75.62
2x - 4.02 = 75.62
2x = 79.64
x = $39.82

--------------------------------------------
Find the cost of tie and shirt :
--------------------------------------------
Tie = x = $39.82
Shirt = x - $4.02 = $39.82 - $4.02 = $35.80

----------------------------------------------------------------------------------------
Answer: The price of the short is $35.80
----------------------------------------------------------------------------------------

5 0

1 year ago

Simon has 160160160 meters of fencing to build a rectangular garden.

yaroslaw [1]

Answer:

25

Step-by-step explanation:

had it on khan

6 0

1 year ago

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If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this

otez555 [7]

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

$\sqrt{r^{2} } = \sqrt{1600} \\r = 40$

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

7 0

1 year ago

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