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Rasek [7]
3 years ago
10

The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13

eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

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A bisector is a line that divides either a line or an angle into <em>two</em><em> proportionate</em> parts or angles. Thus, Anton's <em>bisector</em> would divide the segment into two <u>equal parts</u>, while Maxim's <em>bisector</em> would divide the angle into two <u>equal angles</u>.

The <u>similarities</u> between their construction are:

  • <em>Intersecting</em> arcs through which the bisector would pass are required.
  • The arcs are dawn using <em>the same</em> radius of any measure.
  • The <em>edges</em> of the arc of the given angle, and the ends of the segment are used as <em>centers</em>.

The <u>differences</u> between their construction are:

  • Anton has to draw two intersecting arcs <u>above</u> and <u>below</u> the segment. While Maxim would draw two intersecting arcs <u>within</u> the lines forming the angles.
  • Anton's bisector would be <em>perpendicular</em> to the segment, while Maxim's bisector would be at <em>an angle</em> which is half of the initial angle.

Visit: brainly.com/question/17247176

3 0
2 years ago
Please help! Find the domain of y = 4 square root 4x + 2
olga55 [171]

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

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We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

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Answer:

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Step-by-step explanation:

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