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kykrilka [37]
3 years ago
13

A bag is filled with different color balls. Craig selects a ball at random, records the color, and then replaces the ball in the

bag. He repeats this process 60 times. The overall results are shown in the table. Result Blue Red Yellow Orange Frequency 18 14 15 13 What is the relative frequency of Craig selecting a yellow ball? Enter your answer in the box.
Mathematics
1 answer:
vazorg [7]3 years ago
5 0
Because there were 15 yellow balls and 60 in total:
15/60
We can simplify:
1/4
Multiply both sides by 25:
25/100
The relative frequency is 25%
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Given the matrices: 1 2 A= 1 -1 2 1 1 B= 3 4 Calculate AB: C11 C12 [2.1] х 1 2 3 4 C21 C22 C11 = C12 = -2 C22 - C215 DONE​
eduard

Answer:

\:c_{11}=-2,\:\:\:c_{12}=-2

\:c_{21}=5,\:\:\:c_{22}=8

Step-by-step explanation:

Given the matrices

A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}

B=\begin{pmatrix}1&2\\ \:3&4\end{pmatrix}

Calculating AB:

\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}

Multiply the rows of the first matrix by the columns of the second matrix

                                   =\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}

                                   =\begin{pmatrix}-2&-2\\ 5&8\end{pmatrix}

Hence,

\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}

Therefore,

\:c_{11}=-2,\:\:\:c_{12}=-2

\:c_{21}=5,\:\:\:c_{22}=8

5 0
3 years ago
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KengaRu [80]

Answer:

7,9,9

Step-by-step explanation:

Because the numbers are lined up from least to greatest all you have to do is find the middle of all the numbers which is 10. So everything below ten is lower quartile. Everything above is upper quartile

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3 years ago
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Answer:

C

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180° , so

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24 → C

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3 years ago
Given the function w (x) = 9x + 8, evaluate w (5) . Explain all steps.
masya89 [10]

Hi there!

\large\boxed{w(5) = 53}

Evalute by substituting in 5 for x:

w(5) = 9(5) + 8

Simplify:

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Answer:

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