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2 years ago

10

The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is

the total time that Nadia took to answer both quizzes?

1 answer:

Sphinxa [80]2 years ago

6 0

Answer:

1 hour

Step-by-step explanation:

hope it helps ....

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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

Nikitich [7]

Answer:

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

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

(c) P(X = −2) = 1/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

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

(c) P(Y = 2) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 : Result on 1st die.

- Random Variable X_2: Result on 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

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

: 2* ( 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.

8 0

3 years ago

I'M OFFERING 20 POINTS-

Dafna11 [192]

Answer:

Third option is correct. Scale factor 3 ; enlargement.

Step-by-step explanation:

It is given that the figure A'B'C'D' is a dilation of figure ABCD.

We know that after dilation the corresponding sides of image and preimage are in the same proportion.

The image of AD is A'D'.

From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).

Distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AD=\sqrt{(-1+1)^2+(-1-2)^2}=\sqrt{9}=3$

$A'D'=\sqrt{(-3+3)^2+(-3-6)^2}=\sqrt{81}=9$

Scale factor is constant which represents the relation between image and preimage.

$k=\frac{A'D'}{AD}$

$k=\frac{9}{3}$

$k=3$

Therefore the scale factor is 3.

If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.

3 0

3 years ago

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I need help fast!!!!!!!!!!!!!!!¡!!!!!¡!!!!!!!!!m!!!!!!

raketka [301]

I think the answer is shelter B

4 0

3 years ago

Add the fractions:<br> 1/3 + 1/5 =

MrRissso [65]

Answer:

8/15

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

12-y=2x-5 in slope-intercept form

Gemiola [76]

Answer: y = -2x + 7

Step-by-step explanation:

Slope intercept form is the same as solving for y in the equation .

So solve for y and it will be in slope intercept form.

12 - y = 2x + 5 Subtract 12 from both sides

-12 -12

-y = 2x -7 Now divide both sides by -1

y = -2x + 7

8 0

3 years ago