Answer: 0.42 and 5 outcomes.
Step-by-step explanation:
i guess that carlos has a fair coin and a number cube.
the probability can be calculated as the number of outcomes that we want divided the total number of outcomes.
The coin has two possible outcomes, heads and tails, then the probability of getting heads is p1 =1/2
the number cube has 6 numbers, 5 of those 6 numbers are greater than 1, then the probability of getting a number greater than 1 is p2 =5/6
the joint probability is the product of those two:
P = 1/2*5/6 = 5/12 = 0.42
The combinations that include heads and number greater than 1 are 5 combinations:
Heads and 2
Heads and 3
Heads and 4
Heads and 5
Heads and 6.
Answer:
MO = 17
Step-by-step explanation:
First, you need to define what if the unknown x.
segment MN and NO are equal to MO.
thus, your equation for the combination is x +8
Now set the values equal to each other
x + 8 = 3x - 10 (subtract x from both sides)
8 = 2x - 10 ( get your x value alone, add 10 to both sides)
18 = 2x (simplfy)
x = 9
Now plug x value into MO
3 (9) - 10 = 17
Check with opposing equation:
9 + 8 = 17 √
Answer:
Two cubes of gold one is 24 m per side
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Given that Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.
Sales per performance =8000
Production cost per performance =2000
Contribution per performance = 
Overhead costs = 84000
Break even units = overhead cost/contribution per performance
= 
14 performances should be done to break even
The solution to the system of equation is (2, 7)
<h3>System of equation</h3>
Given the system of equation expressed as:
3x – y = -1 * 2
x – 2y = -12 * 1
________________
6x – 2y = -2
x – 2y = -12
Subtract to have;
6x-x = -2-(-12)
5x = 10
x = 2
Substitute x = 2 into 2 to have:
2 - 2y = -12
-2y = -14
y = 7
Hence the solution to the system of equation is (2, 7)
Learn more on system of equation here: brainly.com/question/25976025
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