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Alchen [17]
3 years ago
8

Eric has two number cubes each labeled 1 to 6. Eric is going to conduct an experiment by tossing the cubes a total of 180 times.

He will find the product of the two numbers in each roll.
a) How many possible outcomes are there? ____________
b) How many times should Eric toss a product of 12? ____________
c) How many times should Eric toss a product greater than 20? ___________
d) How many times should Eric toss a product less than 10? _________
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0
The possible outcomes are:
1,1~~1,2~~1,3~~1,4~~1,5~~1,6
2,1~~2,2~~2,3~~2,4~~2,5~~2,6
3,1~~3,2~~3,3~~3,4~~3,5~~3,6
4,1~~4,2~~4,3~~4,4~~4,5~~4,6
5,1~~5,2~~5,3~~5,4~~5,5~~5,6
6,1~~6,2~~6,3~~6,4~~6,5~~6,6

The possible products are:
1~~2~~3~~4~~5~~6
2~~4~~6~~8~~10~~12
3~~6~~9~~12~~15~~18
4~~8~~12~~16~~20~~24
5~~10~~15~~20~~25~~30
6~~12~~18~~24~~30~~36


a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

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Find 100%
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Answer: There are 620 students in the school.
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​Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$17 comma 90017,900
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In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-17900=\frac{20300-17900}{4-1}(x-1)

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y-17900=800x-800

Add 17900 on both sides.

y=800x-800+17900

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The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

30700=800x+17100

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30700-17100=800x

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\frac{13600}{800}=x

17=x

Therefore, in 17th year his income was $30,700.

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