Answer: Hence, our required probability is 
Step-by-step explanation:
Since we have given that
Numbers in a lottery = 60
Numbers to win the jackpot = 7 numbers
We need to find the probability to hit the jackpot:
So, our required probability is given by
This is a combination problem as we need to select 7 numbers irrespective of any arrangements.
Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex
Answer:
undefined
Step-by-step explanation:
(-7, -7) and (-7, 1)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(1 - (-7)) / (-7 - (-7))
Simplify the parentheses.
= (1 + 7) / (-7 + 7)
Simplify the fraction.
8/0
= undefined
Our line is a vertical line, which has an undefined slope.
Hope this helps!
Answer:
1920 cubes.
Step-by-step explanation
Turn both the mix numbers into improper fractions.
2 2/5 = 12/5
3 1/5 = 16/5
Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.
12/5 * 5/1 = 12
16/5 * 5/1 = 16
2 * 5 = 10
Next you multiply all together to get 1920 cubes.
(I could be missing a step. I apologize if I did.)
The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
Answer:
9
Step-by-step explanation:
10-((-3) + -6)-10
10-(-9)-10
10+9-10
9
