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Pie
3 years ago
14

A spinner and 4 cards are shown below:

Mathematics
2 answers:
elena55 [62]3 years ago
7 0

Answer:

1 over 20

Step-by-step explanation:

<u><em>Given that:</em></u>

<em>a spinner and 4 cards</em>

<u><em>A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green</em></u>

<em>Arrow point at purple </em>

<u><em>Four cards ⇒ Color : Red,Yellow,Blue,Pink</em></u>

<em>Jane spins the spinner & selects card without looking.</em>

<em>To Find - Probability spinner stops at purple & select pink card.</em>

<u><em>Solve:</em></u>

<em>Multiply 4 (the number of cards) with 5 (The number of equal sectors)</em>

<em />\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}          {1 × 1 = 1}    {5×4=20}

<u><em>~lenvy~</em></u>

Mama L [17]3 years ago
7 0

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

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3 years ago
solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
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Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

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\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

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3 years ago
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Answer:

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A better estimate is 20 1/3.

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A calculator tells you the quotient is about 20.3897.

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