Problem #11:
Twice a number (n) decreased by 5 is at least 11.
2n - 5 is = to or greater than 11.
2n - 5 is = to 11 comes out as 2n = 11 + 5, or 2n = 16, or n = 8.
If n = 8 or is greater than 8, 2n=5 will be at least 11.
Please, start work on the problems you haven't yet done. I'd be happy to comment on your own work and help you bring the solution to conclusion.
Isolate the x. First, multiply 2 to both sides
-x/2(2) < 4(2)
-x < 4(2)
-x < 8
Isolate the x. Divide - 1 to both sides (because you are dividing a negative number, flip the sign).
-x/ -1 < 8/-1
x > -8 is your answer
hope this helps
Answer:
the length of the bridge in miles is 3.37 miles
Step-by-step explanation:
The computation of the length of the bridge in miles is shown below:
Given that
The length is 5927.261 yard
As we know that
1760 yard = 1 mile
So 1 yard = 1 ÷ 1760 mile
For 5927.261 yard, the miles would be
= 5927.261 ÷ 1760
= 3.37 miles
Hence, the length of the bridge in miles is 3.37 miles
Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 3 + 4 = 7 marbles, hence N = 7.
- Of those, 3 are blue, hence k = 3.
- 2 marbles will be taken, hence n = 2.
The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:



Hence:

0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
I believe the answer is A.