Plot the approximate values of and on a number line and determine which of the following statements are correct.

Mathematics

1 answer:

Vika [28.1K]3 years ago

8 0

9514 1404 393

Answer:

square root of 5 is approximately 1 less than square root of 10
square root of 10 is between 3.1 and 3.2
square root of 10 is less than 3.5

Step-by-step explanation:

√5 and √10 are plotted on the number line shown below.

Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.

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The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14

Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

$P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960$