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kow [346]
3 years ago
12

I need help with these two questions please

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

1) Option (b) 32km

2) Option (c) 17

Step-by-step explanation:

According to Pythagoras Theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

1) Perpendicular=?

Base=24km

Hypotenuse=40km

40²=P²+24²

1600=P²+576

1600-576=P²

1024=P²

√1024=P

32=P

2) Perpendicular=15

Base=8

Hypotenuse=?

H²=15²+8²

H²=225+64

H²=289

H=√289

H=17

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Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

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The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

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Step-by-step explanation:

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