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aalyn [17]
3 years ago
12

Find the total surface area for the hexagonal prism?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:

572.5

Step-by-step explanation:

A=6ah + 3√(3) a²= 6·8·5+3√(3)·8²≈572.55376

a is base length and h is height

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A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10
AveGali [126]

Answer:

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

Step-by-step explanation:

A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:

h(x) =\frac{({A}C_{x})({N-A}C_{n-x})}{^{N}C_{n}  }

where:

^{n}C_{r}=\frac{n!}{(n-r)!r!}

h(x)  is the probability of x successes,

n is the number of attempts,

A is the number of successes  

N is the number of elements

For this problem:

A = 30, x = 5, N = 50, n = 10

The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is

P(x=5)=\frac{({30}C_{5})({50-30}C_{10-5})}{^{50}C_{10}  }\\P(x=5)=\frac{({30}C_{5})({20}C_{5})}{^{50}C_{10}  }

P(x=5)=\frac{\frac{30!}{(30-5)!5!}*\frac{20!}{(20-5)!5!}  }{\frac{50!}{(50-10)!10!} }\\P(x=5)=\frac{\frac{30!}{25!5!}*\frac{20!}{15!5!}  }{\frac{50!}{40!10!} }

P(x=5)=\frac{142506*15504}{1.207*10^{10} }=0.215

P(x=5) = 0.215

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

4 0
3 years ago
Someone help me lolol
vazorg [7]

Answer: the third option is correct.

Step-by-step explanation:

The largest negative number has the least value. That is -3/4.

It may help to convert the fractions to decimals. Remember that |absolute value| is considered positive in these questions.

4 0
3 years ago
Read 2 more answers
Factor 1/2 out of 1/2x + 3/2
EastWind [94]

<span><span>The answer to the question is:</span></span>

<span><span /></span><span><span>−<span>12</span><span>(x−12)</span></span> </span>



7 0
3 years ago
What is the fraction in decimal form? 21/6 Enter your answer in the box.
ycow [4]
The correct way 21/6 would be in decimal form is 3.5
5 0
3 years ago
Read 2 more answers
Use decimals to express a probability in tenths.
Alisiya [41]
The answer is 1/10
=.1
4 0
3 years ago
Read 2 more answers
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