Answer:
The required probability is 
or 
.
Step-by-step explanation:
Consider the provided information.
A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis,
The probability of yea or nay vote is equal, = 
So, we can say that 
Use the formula: 
Where n is the total number of trials, x is the number of successes, p is the probability of getting a success and q is the probability of failure.
We want proposal wins by a vote of 7 to 2, that means the value of x is 7.
Substitute the respective values in the above formula.
or
Hence, the required probability is or .
Step-by-step explanation:
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The answer to your question is D.
Answer:
28
Step-by-step explanation:
Let's set the ratio as
7x : 9x
If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)
So, we can write this equation.
7x + 9x = 48
Simplify.
16x = 48
Divide both sides by 16.
x = 4
Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x
7 * x = 7 * 4 = 28
The number of states that border an ocean is 28.
I hope this helps! Feel free to ask any questions!
Answer:
Step-by-step explanation:
Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61
To list: numbers from least to greatest
Solution:
Let the three consecutive odd integers be 
.
According to question,
So, the integers are 
Numbers from least to the greatest:
