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dangina [55]
3 years ago
9

The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. if 16 fi

sh are randomly selected, what is the probability that the mean weight will be between 15.6 and 21.6 lb?
Mathematics
1 answer:
oee [108]3 years ago
3 0
<span>The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. </span>
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What is the vertex of f (x) = 5x^2+20x-16
sergeinik [125]

Answer:

vertex = (- 2, - 36)

Step-by-step explanation:

Given a parabola in standard form : y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² + 20x - 16 is in standard form

with a = 5, b = 20 and c = - 16

x_{vertex} = - \frac{20}{10} = - 2

Substitute x = - 2 into f(x) for corresponding y- coordinate

f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36

vertex = (- 2, - 36)



3 0
3 years ago
Read 2 more answers
Find the cube roots of 125(cos 288° + i sin 288°)
kow [346]
Let r(cos O + i sin O)  be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3  =  125(cos 288 + i sin 28)

so r^3 = 125  and  cos 3O + i sin 3O  =  cos 288 + i sin 288

so r  = 5  and 3O = 288 + 360p and O = 96 +  120p

so one cube root is   5 (cos 96 + i sin 96)

Im a little rusty at this stuff Its been a long time.

Im not sure of the other 2 roots

sorry cant help you any more


3 0
3 years ago
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Hope an expert can help with this
Citrus2011 [14]

For Range you take the biggest number and subtract it with the smallest. So:

January = E14,000

Febuary = E9,000

March = E10,000

All Three Months = E17,000

Hope this helps,pleeease vote as brainliest!

5 0
3 years ago
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andrey2020 [161]

Answer:

h(x) = 1

Step-by-step explanation:

h(x) = both of these equations, but really only -6. Plug in 1 to x in the equation and it will equal -6.

Hope this helps

5 0
3 years ago
A line that intersects two or more lines is called a parallel line true or false
Irina18 [472]

Answer:

False

Step-by-step explanation:

Parallel lines never touch

6 0
3 years ago
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