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olga55 [171]
3 years ago
15

Use counting arguments from the preceding chapter. My couch potato friend enjoys sitting in front of the TV and grabbing handful

s of 5 chocolates at random from his snack jar. Unbeknownst to him, I have replaced one of the 20 chocolates in his jar with a cashew. (He hates cashews with a passion.) How many possible outcomes are there the first time he grabs 5 chocolates?
Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

The total possible outcomes are 15,504.

Step-by-step explanation:

Consider the provided information.

My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 5 chocolates at random from his snack jar.

The jar has 20 items and we need to find the possible outcomes are there the first time he grabs 5 chocolates.

Here the sample space S is the set of 5 chocolates.

n(S)=C(20,5)

Therefore,

C(20,5)=\frac{20!}{5!(20-5)!}

C(20,5)=\frac{20!}{5!15!}

C(20,5)=15504

Hence, the total possible outcomes are 15,504.

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2 years ago
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up
DENIUS [597]

Answer:

a. 8 gallons

b. (11-0.75t) gallons

Step-by-step explanation:

a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.

We proceed as follows;

Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours

Mathematically, that would be 0.75 * 4 = 3 gallon

Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.

That would be; 11 - 3 = 8 gallons

b. Like above, we want to know the amount of fuel left after t hours.

Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t

Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.

Mathematically, that would be 11- 0.75t

4 0
2 years ago
If the 102,619 residents of a city are divided into 57 equal groups, then some residents don't fit into a group.
valentinak56 [21]

Answer:

1,800, 19

Step-by-step explanation:

102,619÷57=1800 (nearest one)

102,619-1800×57=19

3 0
2 years ago
Which pair of transformations moves quadrilateral 1 to quadrilateral 2?
malfutka [58]

Translate it 8units to the right then reflect it over the line y=-3

Why?

  • We can see the Quadrilateral is in Quadrant 3.
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6 0
2 years ago
Read 2 more answers
Could someone please help me solve this?
ryzh [129]

Answer:

40

Step-by-step explanation:

(2/5)*n - 6 = 10                         Add 6 to both sides

(2/5)*n - 6 + 6 = 10 + 6             Combine

(2/5)*n = 16                               Multiply both sides by 5/2

(5/2)(2/5)n = 16*(5/2)

n = 80 / 2

n = 40  

6 0
2 years ago
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