What is the interval notation for the graph shown below?

Mathematics

1 answer:

Scrat [10]3 years ago

7 0

<h3>Answer: Bottom left corner (southwest corner)</h3>

$(4, \infty)$

The left endpoint is x = 4, but we don't include this endpoint because of the open hole. We use a parenthesis to indicate "don't include the endpoint"

The right endpoint is positive infinity. We always use a parenthesis with either infinity since we cannot reach infinity

The interval from 4 to infinity is written as $(4, \infty)$ which is like saying $4 < x < \infty$

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The ratio of men and women at a class is 6 to 5. how many women are their if their are 3600 men?

umka2103 [35]

Answer:

3,000

Step-by-step explanation:

6:5

1.2( divided 6 by 5):1 (Divide 5 by 5)

3600 divided by 1.2

3,000

4 0

2 years ago

Please answer I’ll rate brainlyest

12345 [234]

Answer:

$5P3*6C4=60*15=900$

Step-by-step explanation:

$5P3$ refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

$5P3=\frac{5!}{(5-3)!}$

The factorial of an integer n is evaluated as;

$n!=n*(n-1)*(n-2)*(n-3).......3*2*1$

Using this concept, the above expression can now be simplified as follows;

$5P3=\frac{5!}{2!}=\frac{5*4*3*2!}{2!}=5*4*3=60$

Therefore, the permutations of 5 items taken 3 at a time is 60.

The next expression, $6C4$ refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;