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ki77a [65]
3 years ago
8

In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20

% of the fish that are subjected to it for 24 hours. if 20 fish are placed in a tank containing this concentration of chemical. find the probability that after 24 hours :______a) Exactly 14 fish survive ? b) at least 10 survive ? c) at most 16 fish will die ?
Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

a) 0.1091

b) 0.9994

c) 0.5886

Step-by-step explanation:

X = the number of fish out of 20 that die after 24 hours

x = 0, 1, 2, . . . , 20

X~ Binomial (n= 20, p =0.20)

P(14 survive) = P(X = 6)

= nC_r p^r q^{n-r}= 20C_6 0.2^6\times0.8^{14}=0.1091

Similarly we can find out

P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994

P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886

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What is the correct inverse function for f(x)=In5x?
telo118 [61]
y = \ln (5x)\\&#10;e^y=5x\\&#10;x=\dfrac{e^y}{5}\\&#10;\boxed{f^{-1}(x)=\dfrac{e^x}{5}}



8 0
3 years ago
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The denominator of a rational numbers is twice it’s numerator if the numerator is decreased by 3 and the denominator increased b
ASHA 777 [7]

Answer:

\frac{29}{58}

Step-by-step explanation:

let x be the numerator of the rational number then 2x is the denominator

original fraction = \frac{x}{2x}

subtracting 3 from numerator and adding 7 to denominator , gives

\frac{x-3}{2x+7} = \frac{2}{5} ( cross- multiply )

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x - 15 = 14 ( add 15 to both sides )

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rational number = \frac{29}{58}

8 0
2 years ago
He equation 8 − 4x = 0 has real solution(s)
jarptica [38.1K]

Answer:

x=-2

Step-by-step explanation:

subtract 8 from both sides you get -4x=-8

divide by -4

you get x=-2

3 0
3 years ago
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Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a g
Alinara [238K]

Answer:

|x-10 y-4|

Step-by-step explanation:

Let the initial position where the football is thrown up the air be x and y.

After the ball is thrown up the air it moves 10 feet west 4 feet south because of the gust of wind.

Therefore the change in x is by 10 feet west and is at the point x - 10 and the change in y is by 4 feet south and is at the point y - 4.

Thus the matrix representing the position of the football is |x-10 y-4|.

<em><u /></em>

<u><em>Please mark as brainliest if answer is right </em></u>

Have a great day, be safe and healthy  

Thank u  

XD

C R E D I T:  mohit890

4 0
3 years ago
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A survey of a group of tourists was taken in St. Louis. The survey showed the​ following: of the tourists plan to visit Gateway​
kykrilka [37]

Answer:

14 people visited art museum.

Step-by-step explanation:

A Group of 115 tourists took in St. Louis.

61 tourists plan to visit the Gateway,

48 plan to visit the zoo,

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12 plan to visit the Art Museum, but not the zoo,

17 plan to visit the Gateway arch and zoo but not the art museum,

Seven plan to visit the art museum, the zoo and gateway arch,

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How many plans to visit the art museum?

Let

Number of tourists plan to visit Art museum = x

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People who visited art museum = 99 – 11 – 17- 7 – 25 – 13 = 14

14 people visited art museum.

3 0
3 years ago
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