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Vitek1552 [10]
3 years ago
8

A bag contains some number of marbles. It is known that 20 of them are red. When 15 marbles are drawn, without replacement, we g

et 6 red. Assuming E(X)=6 red, what is the total number of marbles in the bag?
Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

The total number of marbles in the bag is 50.

Step-by-step explanation:

Here, we have n trials, without replacement. So the hypergeometric distribution is used.

The mean of the hypergeometric distribution is:

E(X) = \frac{n*k}{N}

In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.

15 marbles are drawn:

This means that n = 15

A bag contains some number of marbles. It is known that 20 of them are red.

This means that k = 20, since a success is drawing a red marble.

Assuming E(X)=6 red, what is the total number of marbles in the bag?

We have to find N when E(X) = 6

So

E(X) = \frac{n*k}{N}

6 = \frac{15*20}{N}

6N = 300

N = \frac{300}{6}

N = 50

The total number of marbles in the bag is 50.

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How much cream that is 30% butterfat must be mixed with milk that is 3% butterfat to make 45 gal of cream that is 12% butterfat?
pochemuha

Answer:

15 gallons

Step-by-step explanation:

If x is the gallons of 30% butterfat cream, and y is the gallons of 3% butterfat milk, then:

x + y = 45

0.30 x + 0.03 y = 0.12 (45)

Solve the system of equations with substitution or elimination.  Using substitution:

0.30 x + 0.03 (45 − x) = 0.12 (45)

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5 0
3 years ago
I need details please
m_a_m_a [10]
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A) We know the domain(x values) is between -10 to infinity
(-10,-9,-8,-7,-6,-5,-4,-3-,2,-1,0,1,2,3,4,5,6,7,8,9,10, to ---------> infinity)
B) We know the range(y values) is between -6 to infinity
(-6,-5,-4,-3-,2,-1,01,2,3,4,5,6,7,8,9,10, to ---------> infinity) 

C) Next we know f(0) = f(4) = 0
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D) It tells us that f(x) (y) is increasing between the x values (-10,-6)  or (-2,2) or (4, to infinity)

E) It tells us that f(x) (y) is decreasing between the x values (-6,-2) or between (2,4)

F) Tells us that f(x) (y) is greater than or equal to between the x values of [-8,-4] or between the x values [0, to infinity) so this lets us know our drawing is going to be above or equal to 0 when we are in the values [-8,-4] or [0, to infinity)

G) Tells us that f(x) (y) is less than 0 when the function / drawing is between the x values of (-10, -8) or (-4,0)  

The picture is what the function could look like. It can be different but needs to following the rules that are given 




3 0
3 years ago
Which expression gives the determinant of the matrix?
Alisiya [41]

Solution in the attachment.

\det\left[\begin{array}{ccc}4&2&-3\\5&-6&1\\0&2&-1\end{array}\right]=4\cdot\left|\begin{array}{ccc}-6&1\\2&-1\end{array}\right|-2\cdot\left|\begin{array}{ccc}5&1\\0&-1\end{array}\right|-3\cdot\left|\begin{array}{ccc}5&-6\\0&2\end{array}\right|

6 0
3 years ago
What is 10/56 simplified
Margaret [11]
<em>\frac{10}{56}  </em>

<em>⇒numerator and denominator are divided (÷2)</em>

<em>=\frac{5}{28}</em>

<em>Good homework :)</em>
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to <img src="https://tex.z-dn.net/?f=%283m%29%284m%29%5E2" id="TexFormula1" title="(3m)(4m)^2" al
joja [24]
Is this question
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If so the answer is:
48m^3
7 0
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