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docker41 [41]
2 years ago
15

Choose the correct definition of (n/k) from below

Mathematics
2 answers:
Citrus2011 [14]2 years ago
8 0

Answer:C.  \frac{n!}{k!(n-k)!}

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}

Hence, C is the right option.

gizmo_the_mogwai [7]2 years ago
3 0
Answer C is correct.
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fill inbthe bubble next to all the double facts you could use to find the sum of 3+2? A 2+2 B 5+5 C 3+3 D 1+1
GarryVolchara [31]

Answer:

Option A , C and D are correct.

Step-by-step explanation:

Double Facts states that the additions in which a number is added to itself.

then; by definition of double facts

Use Double facts to find the sum of 3 + 2

3 + 2

=3 + (3 - 1)

= 3+ 3 - 1

= 6 - 1

= 5

similarly,

3+2 = (1+2) + 2 = 1 + 2+2 = 1 + 4 = 5

Also;

3 + 2 = 3 + (1+1) = 3 +1+1 = 5

therefore, the double facts that used to find the sum of 3+2 are; 2+2 , 3+3 and 1+ 1.

4 0
2 years ago
D'Naisa mixed her favorite shade of orange paint. She had 111 gallon of orange paint and added 222 quarts of yellow paint and 33
natka813 [3]

Answer:

7.5 Quarts

Step-by-step explanation:

D'Naisa mixed the following:

  • 1 gallon of orange paint
  • 2 quarts of yellow paint
  • 3 pints of red paint.

We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.

<u>1 gallon of orange paint</u>

  • 1 gallon = 4 Quarts
  • Orange Paint=4 Quarts

<u>3 pints of red paint.</u>

  • 1 pint =0.5 quart
  • 3 Pints =3 X 0.5 Quart
  • =1.5 Quart of red paint

Therefore,

Total Volume of Paint Mixed in quart= Volume of Orange+Yellow+Red

=4+2+1.5

=7.5 Quarts

3 0
2 years ago
Read 2 more answers
One in a hundred million people is a genius. If they are a genius, the probability that the person is acting extremely quirky is
Mila [183]

Answer:

The correct option is E) About 1 in a million.

Step-by-step explanation:

Consider the provided information.

It is given that one in a hundred million people is a genius.

Let G represents the Genius and Q represents the quirky.

We need to find the probability that someone is acting quirky- what is the probability that they are a genius.

The probability that person is quirky is: P(Q)=0.999\cdot0.00000001+0.01\cdot0.99999999

The probability of P(Q\cap G)=0.999\cdot0.00000001

Hence, the required probability is:

P(G|Q)=\frac{P(Q\cap G)}{P(Q)}

P(G|Q)=\frac{0.999\cdot0.00000001}{0.999\cdot0.00000001+0.01\cdot0.99999999}

P(G|Q)\approx 9.98999\times10^{-7}

Which is near about 1 in a million.

Hence, the correct option is E) About 1 in a million.

5 0
2 years ago
The data represents the body mass index​ (BMI) values for 20 females. Construct a frequency distribution beginning with a lower
Papessa [141]

Answer:

Given:

Body mass index values:

17.7

29.4

19.2

27.5

33.5

25.6

22.1

44.9

26.5

18.3

22.4

32.4

24.9

28.6

37.7

26.1

21.8

21.2

30.7

21.4

Constructing a frequency distribution beginning with a lower class limit of 15.0 and use a class width of 6.0.

we have:

Body Mass Index____ Frequency

15.0 - 20.9__________3( values of 17.7, 18.3, & 19.2 are within this range)

21.0 to 26.9__________8 values are within this range)

27.0 - 32.9____________ 5 values

33.0 - 38.9____________ 2 values

39.0 - 44.9 _____________2 values

The frequency distribution is not a normal distribution. Here, although the frequencies start from the lowest,  increases afterwards and then a decrease is recorded again, it is not normally distributed because it is not symmetric.

3 0
2 years ago
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. If
larisa [96]

Answer:

Step-by-step explanation:

The cost of an adult ticket to the show is $5.5

The cost of a student ticket to the show is $4.25

A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be

2 × 5.5 = $11

It also means that the total cost of 3 student tickets would be

3 × 4.25 = $12.75

The total cost of 2 adult tickets and 3 student tickets would be

11 + 12.75 = $23.75

If the family pays $25, the exact amount of change they should receive is

25 - 23.75 = $1.25

5 0
3 years ago
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