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Degger [83]
3 years ago
5

I need someone’s help !!

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

I believe this is the answer to your problem.

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An admiral, captain, and commander, all different, are to be chosen from a group of 10 Starfleet officers. How many different ch
zepelin [54]

Answer:

10C1 *9C1*8C1 = 10*9*8=720

Step-by-step explanation:

For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.

So we have 10C1 ways to select one admiral since we want just one

Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first

Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.

The term nCx (combinatory) is defined as:

nCx = \frac{n!}{x! (n-x)!}

And by properties nC1= n

So then the number of possible way are:

10C1 *9C1*8C1 = 10*9*8=720

If we select first the captain then the commander and finally the admiral we have tha same way of select 10*9*8=720

For all the possible selection orders always we will see that we have 720 to select.

5 0
3 years ago
Read 2 more answers
A quality control inspector found that 1.3% of 1500 computers inspected were defective. How many computers were defective?
Lilit [14]

Given that percent of computer infected which is found by quality control inspector = 1.3%

Total number of computers = 1500

Now we have to find the number of Defective computer. To find that we will just need to find the product of given defective percent by the total number of computers.

Total number of defective computers = 1.3% of 1500

Total number of defective computers = 0.013* 1500

Total number of defective computers = 19.5

Hence final answer is approx 20 computers.



8 0
3 years ago
Read 2 more answers
Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.Find the equation of the parabola with its focus at (3,4) and i
IgorC [24]

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

3 0
3 years ago
Anastasia was trying to decide which investment plan would be best over 10 years. Bank A was offering 8.5% simple interest on he
Irina-Kira [14]
A
2,000×(1+0.085×10)
=3,700
B
2,000×(1+0.08)^(10)
=4,317.85
Bank B is the better investment. In 10 years, her $2,000 will grow to $4,317.85, and with bank A, her $2,000 will grow to $3,700
4 0
2 years ago
Will give brainliest Please help!!
Julli [10]

Answer:

20% or .20

Step-by-step explanation:

There are a total of 10 cards in the sample.

Of these 10 cards there are 2 of them with the number 8 on them.

To find the probability, you divide the part (2) over the whole (10)

2/10 = .20

Then you can multiply by 100 to find the percent

(.20)(100) = 20%

Therefore, if the teacher were to select a card at random there is a 20% chance that it has the number 8 on it.

<em>I hope this helps!</em>

<em>- Kay :)</em>

7 0
3 years ago
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