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Luba_88 [7]
3 years ago
15

If 5/6 gallons of paint covers 1/4 of the house, then how much paint is needed for the entire house?

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

Step-by-step explanation:

1)  If \frac{5}{6} is needed to cover \frac{1}{4} than we need 3 more: \frac{5}{6}(3)=\frac{15}{6} =2\frac{3}{6} gallons2) But we still need to add the beginning [tex]\frac{5}{6}: 2\frac{3}{6}+\frac{5}{6}=2\frac{9}{6}=3\frac{3}6}=3.5

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Lesson Posttes
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A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

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7 0
2 years ago
What is the variance of a portfolio invested 21 percent each in a and b and 58 percent in c?
victus00 [196]
Given the following information:

\begin{tabular}&#10;{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}&#10;\multicolumn{1}{|p{1.5cm}|}{State of economy}\multicolumn{1}{|p{2.6cm}|}{Probability of State of economy}\multicolumn{3}{|p{4.8cm}|}{Rate of Return if State Occurs}\\[1ex] &#10;\multicolumn{1}{|p{1.5cm}|}{}\multicolumn{1}{|p{2.6cm}|}{}\multicolumn{1}{|c|}{Stock A}&StockB&Stock C\\[2ex]&#10;\multicolumn{1}{|p{1.5cm}|}{Boom}\multicolumn{1}{|p{2.6cm}|}{0.66}\multicolumn{1}{|p{1.27cm}|}{0.09}&0.03&0.34\\&#10;\end{tabular}
\begin{tabular}&#10;{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}&#10;\multicolumn{1}{|p{1.5cm}|}{Bust}\multicolumn{1}{|p{2.6cm}|}{0.34}\multicolumn{1}{|p{1.27cm}|}{0.23}&0.29&-0.14\\&#10;\end{tabular}

Part A:

The expected return on an equally weighted portfolio of these three stocks is given by:

0.66[0.33 (0.09) + 0.33 (0.03) + 0.33(0.34)] \\ +0.34[0.33 (0.23) + 0.33(0.29) +0.33(-0.14)] \\  \\ =0.66(0.0297 + 0.0099 + 0.1122)+0.34(0.0759+0.0957-0.0462) \\  \\ =0.66(0.1518)+0.34(0.1254)=0.1002+0.0426=0.1428=\bold{14.28\%}



Part B:

Value of a portfolio invested 21 percent each in A and B and 58 percent in C is given by

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\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}

3 0
3 years ago
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