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Soloha48 [4]
2 years ago
14

An algebra class has 21 students who all participate in a welcome activity introducing themselves to each other in pairs. One st

udent wants to know how many introductions were made.
Fill in the values of n and r to complete the formula for finding the number of combinations of introductions.
Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

The handshake is an illustration of combination, and the values of n and r are 21 and 2, respectively

<h3>How to determine the values of n and r?</h3>

The number of students in the class is 21.

This represents the value of n

i.e. n = 21

Each student shakes hand with another student (i.e. 2 students per handshake)

This represents the value of r

i.e. r = 2

Hence, the values of n and r are 21 and 2, respectively

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do
musickatia [10]

Answer:

1. 16\ onions

2. 4,040.91\ kg

Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since 1\ lb=453.592\ g, we can make the following conversion:

(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g

Then, the number of onions Bill needs is:

(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions ≈ 16\ onions

2.  Since 1\ kg=2.20462\ lb, we can make the following conversion:

(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg

 Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg

6 0
3 years ago
Neena just earned her bachelor’s degree. based on her qualifications and desire for the highest pay scale, which career would sh
Lilit [14]

Based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a <u>supply chain manager</u><u> career</u>.

<h3>Who is a supply chain manager?</h3>

A supply chain manager ensures the movement of goods, from manufacturers and suppliers to the ultimate customer.

A supply chain manager oversees and manages the production flow:

  • Raw materials acquisition
  • Production logistics
  • Delivery logistics.

A supply chain manager requires the following skills:

  • Business Management
  • Leadership
  • Transportation
  • Manufacturing production and processes
  • Customer service
  • Personal relationships
  • Analytical skills.

Thus, based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a <u>supply chain manager</u><u> career</u>.

Learn more about supply chain management at brainly.com/question/18793688

#SPJ1

5 0
2 years ago
Find the correct value of x
bearhunter [10]

Answer: x = 20

Step-by-step explanation:

Right angle = 90

90 - 47 = 43

43 - 3 = 40

40/2 = 20

3 0
3 years ago
Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 p
posledela

Answer:

<em>P=0.0000037</em>

<em>P=0.00037%</em>

Step-by-step explanation:

<u>Probability</u>

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

\displaystyle \frac{4}{52}=\frac{1}{13}

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

\displaystyle \frac{3}{51}=\frac{1}{17}

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

\displaystyle \frac{2}{50}=\frac{1}{25}

Finally, the probability of getting the remaining ace out of the 49 cards is:

\displaystyle \frac{1}{49}

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}

\displaystyle P= \frac{1}{270,725}

P=0.0000037

P=0.00037%

3 0
3 years ago
Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous syste
lisabon 2012 [21]

Answer:

(a) The value of <em>x</em> is 0.30.

(b) The probability that a reported case of rabies is not a raccoon is 0.45.

(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.

Step-by-step explanation:

Denote the events as follows:

<em>R</em> = reported case of rabies is a raccoon

<em>F</em> = reported case of rabies is a fox

<em>B</em> = reported case of rabies is a bat

<em>O</em> = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

P (F) = 0.11

P (B) = 0.04

P (O) = <em>x</em>.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, \sum P(X)=1

Compute the value of <em>x</em> as follows:

\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30

Thus, the value of <em>x</em> is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

P(A^{c})=1-P(A)

Compute the probability that a reported case of rabies is not a raccoon as follows:

P(R^{c})=1-P(R)\\=1-0.55\\=0.45

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

4 0
3 years ago
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