You play a game that involves drawing two numbers from a hat. there are 25 pieces of paper numbered from 1 to 25 in the hat. each number is replaced after it is drawn. find the probability that you will draw the 3 on your rst draw and a number greater than 10 on your second draw.

In the question,

Total number of pieces of paper numbered from 1 to 25 are = 25

As the draw also includes replacement.

So,

Probability of drawing '3' is given by,

Now,

Numbers greater than 10 are = 15

So,

Probability of drawing a number greater than 10 is given by,

So,

Total probability is given by,

Product of probability of drawing 3 in 1st draw and the Probability of drawing a number greater than 10.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;