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Dimas [21]
2 years ago
9

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
Sever21 [200]2 years ago
3 0

Answer:

x = sqrt (22)

Step-by-step explanation:

This is a RIGHT triangle with the two legs of equal length sqrt 11

  us pythagorean theorem

a^2 + b^2 =  c ^2    where a and b are the legs and c = hypotenuse

(sqrt11)^2  + (sqrt11)^2 = x^2

    11          + 11              = x^2

                x = sqrt (22)

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Over what interval will the immediate value theorem apply
koban [17]

Answer:

Any [a,b] that does NOT include the x-value 3 in it.

Either an [a,b] entirely to the left of 3, or

an  [a,b] entirely to the right of 3

Step-by-step explanation:

The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.

Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.

6 0
3 years ago
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elixir [45]

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

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Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

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Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

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