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valentina_108 [34]
2 years ago
9

A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 10 of these 90 packages at random and

then counted the number of nuts in each package. The manager recorded the results.
30, 31, 36, 32, 35, 35, 35, 33, 31, 36

What is the estimated median number of nuts in all 90 packages?

Enter your answer in the box.

nuts =
Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0
Answer:

34

explanation:

First of all, put the numbers in order

30, 31, 31, 32, 33, 35, 35, 35, 36, 36

Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.

Now all you have to do is add these two numbers together then divide by 2 which will give you 34.

or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.


In other questions, it might have and odd amount of numbers, for example:

3, 3, 5, 8, 10

so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
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Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =
Svetradugi [14.3K]

Answer:

\lambda=8,\ \lambda=-5

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called \lambda are scalars who comply with the relation:

det(A-\lambda I)=0

Where I is the identity matrix

I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix is given as

A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]

Set up the equation to solve

det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0

Expanding the determinant

det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0

(3-\lambda)(-\lambda)-40=0

Operating Rearranging

\lambda^2-3\lambda-40=0

Factoring

(\lambda-8)(\lambda+5)=0

Solving, we have the eigenvalues

\boxed{\lambda=8,\ \lambda=-5}

8 0
3 years ago
Which expression represents 5 more than one-third y​
Jlenok [28]

<em>*Five more*</em>

+5

<em>*One-third y*</em>

1/3y

D. 1/3y+5

Hope this helps!!

8 0
3 years ago
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When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
loris [4]

Answer:

4

Step-by-step explanation:

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= 16328/157

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The probability that a house in an urban area will develop a leak is 55​%. if 2020 houses are randomly​ selected, what is the pr
k0ka [10]
<span>The probability that a house in an urban area will develop a leak is 55​%. if 20 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? round to the nearest thousandth.

Use binomial distribution, since probability of developing a leak,  p=0.55 is assumed constant, and
n=20, x=0
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P(X=x)
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</span>
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3 years ago
Find the obtuse angle the line y-2x=7 makes with the x- axis
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tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

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So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
5 0
3 years ago
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