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ivanzaharov [21]
3 years ago
7

Please help will mark brainliest!!

Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

29

Step-by-step explanation:

180-151=29

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A Halloween trick-or-treat group consists of 3 Trolls, 4 Nazguls, 4 Ents, and 5 Pokemon. A committee of 4 is to be picked to rep
balu736 [363]

Answer:

The probability that the committee will consist of 1 from each type of monster is 0.1318 and Suppose that the Pokemon refuse to be on the same committee as a the Trolls.So,the probability that this type of committee is formed is 0.5357        

Step-by-step explanation:

No. of Trolls = 3

No. of  Nazguls =4

No. of Ents = 4

No. of Pokemon = 5

Total Monsters = 16

We are given that A committee of 4 is to be picked to represent the group at the Monster Bash.

(a) Find the probability that the committee will consist of 1 from each type of monster.

So, the probability that the committee will consist of 1 from each type of monster:

= \frac{^3C_1 \times ^4C_1 \times ^4C_1 \times ^5C_1}{^{16}C_4}

= \frac{\frac{3!}{1!(3-1)!} \times \frac{4!}{1!(4-1)!} \times \frac{4!}{1!(4-1)!}\times \frac{5!}{1!(5-1)!}}{\frac{16!}{4!(16-4)!}}

= \frac{\frac{3!}{1!(2)!} \times \frac{4!}{1!(3)!} \times \frac{4!}{1!(3)!}\times \frac{5!}{1!(4)!}}{\frac{16!}{4!(12)!}}

= 0.1318

b)Suppose that the Pokemon refuse to be on the same committee as a the Trolls.

So,  the probability that this type of committee is formed

= \frac{(^3C_3 \times ^8C_1)+(^3C_2 \times ^8C_2)+(^3C_1 \times ^8C_3)+(^3C_0 \times ^8C_4)+(^5C_4 \times ^8C_0)+(^5C_3 \times ^8C_1)+(^5C_2 \times ^8C_2)+(^5C_1 \times ^8C_3)}{^{16}C_4}

= \frac{(\frac{3!}{3!(3-3)!} \times \frac{8!}{1!(8-1)!})+(\frac{3!}{2!(3-2)!} \times\frac{8!}{2!(8-2)!})+(\frac{3!}{1!(3-1)!} \times\frac{8!}{3!(8-3)!})+(\frac{3!}{0!(3-0)!} \times \frac{8!}{4!(8-4)!})+(\frac{5!}{4!(5-4)!} \times \frac{8!}{0!(8-0)!})+(\frac{5!}{3!(5-3)!} \times \frac{8!}{1!(8-1)!})+(\frac{5!}{2!(5-2)!} \times\frac{8!}{2!(8-2)!})+(\frac{5!}{1!(5-1)!} \times \frac{8!}{3!(8-3)!})}{\frac{16!}{4!(16-4)!}}

= 0.5357

Hence The probability that the committee will consist of 1 from each type of monster is 0.1318 and Suppose that the Pokemon refuse to be on the same committee as a the Trolls.So,the probability that this type of committee is formed is 0.5357          

4 0
3 years ago
Help please!! You’d have to find it algebraically!
raketka [301]

Answer: (-6,-5)

Step-by-step explanation:

2x - 2y = -2 ............ equation 1

3x - y = -13 ................ equation 2

solving by substitution method

from equation 2 , make y the subject of the formula, we have

y = 3x + 13 .............. equation 3

substitute equation 3 into equation 1 , we have

2x - 2 (3x + 13 ) = -2

2x - 6x - 26 = -2

-4x - 26 = -2

-4x = -2 +26

-4x = 24

x = 24/-4

x = -6

substitute x = -6 into equation 3 to get the value of y , we have

y = 3(-6) + 13

y = -18 +13

y = -5

8 0
3 years ago
Solve the compound inequality: 3x ≤ 18 AND x + 4 > 2
dedylja [7]
There must be a mistake in your question:
If 3 x ≤ 9, then : x ≤ 3  and : 
x + 4 > 2
x > 2 - 4
x > - 2
Answer: D) 
Solution set :  - 2 < x ≤ 3  
4 0
3 years ago
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Given below is the odd number function which of the fallowing are equal to O(24)
vlabodo [156]
O(24) Is the 24th odd number
it is also 2(24)-1=48-1=47

so A and B are the answer

D is wrong because that would resultin 46
7 0
3 years ago
A scientist wants to find
maria [59]
Your answer is 8 your answer
3 0
2 years ago
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