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BabaBlast [244]
3 years ago
13

Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
There are 24 different ways that the race could end up
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The probability of getting a head when a biased coin is tossed is 2/5. The coin is tossed three times. Find the following probab
NeTakaya

Answer:

<u>P(three tails) = 27/125 or 21.6%</u>

<u>P(two tails followed by one head) = 18/125 or 14.4%.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Probability of getting a head when a biased coin is tossed = 2/5

therefore,

Probability of getting a tails when a biased coin is tossed = 3/5

2. Find the following probabilities and select the correct solution.

P(three tails) =

3/5 * 3/5 * 3/5 = 27/125 or 21.6%

P(two tails followed by one head) =

3/5 * 3/5 * 2/5 = 18/125 or 14.4%.

6 0
3 years ago
Aiden borrows a book a public library. He read a few pages on day one. One day two, he reads twice the number of pages than he r
Alisiya [41]

Answer:

110 pages

Step-by-step explanation:

Day 1 =x

Day 2 =2x

Day 3 =x-6

(x)+(2x)+(x-6)=458

Add likes together.

4x-6=458

4x=464.  Divide both sides by 4 to get x. X=116

Day 3=116-6=110

7 0
3 years ago
Max invests some money in a savings bond.
Mars2501 [29]

Answer:

£5650

Step-by-step explanation:

The money max invested in the saving bond = x

After one year the intrest will be 2% of x

Amount = £5763

Amount = Principcal + Interest

= £5763 = x + 2% multiplied x

£5763 = x + 2x/100

= 50x/50 + x/50 = 5763

= 51x/50 = £5763

51x = 5763x50

51x = 288, 150

x = 288,150/51

x = 5650

So the money max invested = £5650

7 0
3 years ago
X2 − 2x − 2 into the form a(x − h)2 + k.
Sedbober [7]

Answer:

x² - 2x - 2

By Completing the Square....

x² - 2x + 1² - 2 - 1²

(x - 1)² - 3 .....

Hope it helps.

3 0
2 years ago
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee ca
vladimir2022 [97]

Answer:

There are 8 ways.

Step-by-step explanation:

For each employee there are two possibilities: first office and second office.

Therefore,

the number of ways the company can assign 3 employees to 2 different offices will be :  

2^{3} = 8

We can also look at this problem like suppose ABC are employees.

We can arrange them like -

0 ABC

ABC 0

AB C

BC A

CA B

A BC

B CA

C AB

So, there are total 8 WAYS.

4 0
3 years ago
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