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3 years ago

Answer plz for brainliest

Mathematics

1 answer:

kobusy [5.1K]3 years ago

8 0

Answer:

7 units

Step-by-step explanation:

Please refer to the image attached with this answer.

Our initial line was CD joining points (-1,2) and (6,2).

It is now pulled down by 4 units , to new points

(-1,-2) and (6,-2)

Now we again shift this line by 2 units to the left. The new coordinates thus would be C'(-3,-2) and D'(4,-2)

Hence the distance C'D' = 4-(-3) = 4+3 = 7 UNITS

Hence the length of the line will be 7 units.

It is observed that the length of the line segment remains the same as it was of the original line. as the translation is uniform.

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We have two fair three-sided dice, indexed by i = 1, 2. Each die has sides labeled 1, 2, and 3. We roll the two dice independent

Bogdan [553]

Answer:

(a) P(X = 0) = 1/3

(b) P(X = 1) = 2/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

(b) P(Y = 1) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 denotes the number you get for rolling 1st die.

- Random Variable X_2 denotes the number you get for rolling 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

- First we will develop a probability distribution of X such that it is defined by the difference of second and first roll of die.

- Possible outcomes of X : { - 2 , -1 , 0 ,1 , 2 }

- The corresponding probabilities for each outcome are:

( X = -2 ): { X_2 = 1 , X_1 = 3 }

P ( X = -2 ): P ( X_2 = 1 ) * P ( X_1 = 3 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

( X = -1 ): { X_2 = 1 , X_1 = 2 } + { X_2 = 2 , X_1 = 3 }

P ( X = -1 ): P ( X_2 = 1 ) * P ( X_1 = 3 ) + P ( X_2 = 2 ) * P ( X_1 = 3)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 0 ): { X_2 = 1 , X_1 = 1 } + { X_2 = 2 , X_1 = 2 } + { X_2 = 3 , X_1 = 3 }

P ( X = -1 ):P ( X_2 = 1 )*P ( X_1 = 1 )+P( X_2 = 2 )*P ( X_1 = 2)+P( X_2 = 3 )*P ( X_1 = 3)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 3 / 9 ) = ( 1 / 3 )

( X = 1 ): { X_2 = 2 , X_1 = 1 } + { X_2 = 3 , X_1 = 2 }

P ( X = 1 ): P ( X_2 = 2 ) * P ( X_1 = 1 ) + P ( X_2 = 3 ) * P ( X_1 = 2)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 2 ): { X_2 = 1 , X_1 = 3 }

P ( X = 2 ): P ( X_2 = 3 ) * P ( X_1 = 1 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

- The distribution Y = X_2,

P(Y=0) = 0

P(Y=1) = 1/3

P(Y=2) = 1/ 3

- The probability for each number of 3 sided die is same = 1 / 3.

7 0

3 years ago

How to find the measure of the angle is you have the incenter?

Eduardwww [97]

Construct a perpendicular from the incenter to one side of the triangle to locate the exact radius. 3. place compass point at the incenter and measure from the center to the point where the perpendicular crosses the side of the triangle

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3 years ago

If the sides of the square red flag are 9.2 inches, then how long is the white diagonal stripe?

Roman55 [17]

Answer:

13.0 inches

Step-by-step explanation:

8 0

3 years ago

A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents th

V125BC [204]

Answer:

The exponential model for the population is $P(t) = 19000e^{0.048t}$

Step-by-step explanation:

The exponential model for the population has the following format:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that $P(0) = 19000, r = 0.048$

$P(t) = P(0)e^{rt}$

$P(t) = 19000e^{0.048t}$

The exponential model for the population is $P(t) = 19000e^{0.048t}$

8 0

3 years ago

Resolve this hurry plsssssssd

aev [14]

Answer:

4/(x + 3)(x + 2)

Step-by-step explanation:

8x - 2 / (x + 3)(x - 1)(x + 2) =

4(x - 1)/(x + 3)(x - 1)(x + 2) =

4/(x + 3)(x + 2)

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4 years ago