Ajewel case contains 7 white gems, 5 green gems and 3 blue gems. gems are selected at random. explain why the events picking a blue gem and then another blue gem without replacement are dependent. then, identify the probability.

Dependent event is an event that is affected by previous events. If you select the first blue gem from three, then the number of blue gems becomes 1 less and when choosing the second blue gem you have to select it from 2 blue gems. So, according to definition these events are dependent.

You have 7 white gems, 5 green gems and 3 blue gems that is 15 in total. Probability to choose first gem blue from jewel case is 3/15=1/5. Then there left 7 white gems, 5 green gems and 2 blue gems that is 14 in total. Probability to choose second gem blue from jewel case is 2/14=1/7.

Use the product rule to count the whole probability: 1/5·1/7=1/35.

A)The slope of function is 15

B)  Point slope form :

Slope-intercept form : y=15x+325

Standard form: 15x+y=325

C)g(x)=15x+325

D) The balance in the bank account after 12 days is $505  

Step-by-step explanation:

x                     g(x)

0                    $325

5                    $400

10                  $475

Part A: Find and interpret the slope of the function.

Formula of slope =

We are given that

Substitute the values in the formula:

m=15

So, The slope of function is 15

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms.

Point slope form :

Slope-intercept form =

Standard form :

So,

Part C: Write the equation of the line using function notation.

Part D:  What is the balance in the bank account after 12 days?

Substitute x = 12

So,

Hence the balance in the bank account after 12 days is $505