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Nuetrik [128]
3 years ago
15

Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of f

orming such a team with 6 people?
Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = ^{6}P_3

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

You might be interested in
63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33​
liubo4ka [24]

Hey there!

(6^3 * 2^6) / 2^3

= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2

= (36 * 6 * 4 * 4 * 4) / 4 * 2

= (216 * 16 * 4) / 8
= 3,456 * 4 / 8

= 13,824 / 8

= 1,728


Looking for something that gives you the result of: 1,728


Option A.
12^3

= 12 * 12 * 12

= 144 * 12

= 1,728

Option A. is. possible answer


Option B.
6^3

= 6 * 6 * 6

= 36 * 6

= 216

216 ≠ 1,728

Option B. is incorrect


Option C.
12^6

= 12 * 12 * 12 * 12 * 12 * 12

= 144 * 144 * 144

= 20,736 * 144

= 2,985,984

2,985,984 ≠ 1,728

Option C. is also incorrect


Option D.
2^6 * 2^3

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4 * 4 * 2

= 16 * 16 * 2

= 256 * 2

= 512
512 ≠ 1,728

Option D. is also incorrect

Option E.
2^3 * 3^3

= 2 * 2 * 2 * 3 * 3 * 3

= 4 * 2 * 9 * 3

= 8 * 27

= 216

216 ≠ 1,728

Option E. is also incorrect.


Therefore, the answer should be:

Option A. 12^3



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

3 0
2 years ago
A swimming pool had 2.5 liters of water in it. Some water evaporated, and then the pool only had 2 million liters of water in it
djyliett [7]
Hi!

If I have done this correctly, then the answer is:

2 million is 80% of 2.5

That means that 20% of the water evaported.
5 0
3 years ago
What is the simplified form of the following expression? (5 points)
jek_recluse [69]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Simplify ⇨ (n⁵)(n²)

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\tt \: ( n ^ { 5 } ) ( n ^ { 2 } )

To multiply powers of the same base, add their exponents.

\tt \: n ^{5 + 2}  \\

Add 5 and 2 to get 7.

=   \boxed {\boxed{\bf \:  {n}^{7} }}

  • The first option <em><u>n⁷</u></em><em><u> </u></em>is the correct answer.

5 0
3 years ago
Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for ea
Kazeer [188]

Answer:896.9

Step-by-step explanation:

Let x denotes excess premium over claims

E\left ( x|husband survives\right ), There are two possibilities

(i)Only husband survives

This can be possible with a possibility of 0.01

Claims=10,000

Premium collected=2\times 500=1000

Thus x=1000-10,000=-9000

(ii)Both husband and wife survives

This can occur with a probability of 0.96

Here claims will be 0 as both survives

Premium taken=1000

thus x=1000

The probability that the husband survives is the sum of above cases

=0.96+0.01=0.97

Hence the desired conditional Expectation E\left ( x|Husband survives\right ) =0.01\times \left ( -9000\right )+0.96\times \left ( 1000\right )=896.9

7 0
3 years ago
What is m∠LQK?<br><br> I have to attack the file
Olegator [25]
3n+(4n-15)=90

3n+4n-15=90

7n=105

n=105/7

n=15

---------------------

Angle LQK is 4n-15

If n=15

Angle LQK = 4(15) - 15

= 60 - 15

= 45
6 0
3 years ago
Read 2 more answers
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