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2 years ago

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Mathematics

1 answer:

puteri [66]2 years ago

7 0

Answer:

bcs the exercise room is 70

weight room is 42

but they both include locker room

the locker room is 16

locker room calculated twice

so 70 + 42 - 16 = 96

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Barb is going to cover a rectangle area 8 feet by 10 feet with rectangle paving blocks that are 4 inches by 8 inches by 2 inches

soldier1979 [14.2K]

Step-by-step explanation:

First, transform 8 feet and 10 feet into inches so we can work with the same measurements

8 * 12 = 96 in

10 * 12 = 120 in

Next find the patio rectangle area.

96 * 120 = 11520 in^2

Now find the paving block area

4 * 8 = 32 in^2

Now, find out how many paving blocks will go into the patio rectangle area.

11520 / 32 = 360

The minimum number is 360 paving blocks

5 0

4 years ago

Given two points what’s the slope intersect form (-3, 7) and (1, -1)

UNO [17]

Change in y over the change in x
-1-7=-8
1- -3=4

-8 divided by 4

Slope=-2

5 0

3 years ago

Consider a circle that has a circumference of 28/3.14 centimeters. What is the area of this circle? Answer fast plz also can you

bija089 [108]

Answer:

$A=6.33\ cm^2$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=\frac{28}{3.14}\ cm$

$\pi=3.14$

substitute the values

$\frac{28}{3.14}=2(3.14)r$

$r=\frac{28}{19.7192}\ cm$

$r=1.42\ cm$

step 2

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

substitute the values

$A=(3.14)(1.42)^{2}$

$A=6.33\ cm^2$

7 0

4 years ago

Five members of the soccer team ordered orange juice. Ten members ordered apple juice. Juice was packaged in 250 mL cartons. Exp

Lady_Fox [76]

The answer to the question is B

6 0

3 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:

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

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

For boom: 0.21(0.09) + 0.21(0.03) + 0.58(0.34) = 0.0189 + 0.0063 + 0.1972 = 0.2224 or 22.24%.

For bust: = 0.21(0.23) + 0.21(0.29) + 0.58(-0.14) = 0.0483 + 0.0609 - 0.0812 = 0.028 or 2.8%

Expected return = 0.66(0.2224) + 0.34(0.028) = 0.1468 + 0.00952 = 0.1563 or 15.63%

The variance is given by

$0.66(0.2224-0.1563)^2+0.34(0.028-0.1563)^2 \\ \\ =0.66(0.0661)^2+0.34(-0.1283)^2=0.66(0.00437)+0.34(0.01646) \\ \\ =0.00288+0.0056=\bold{0.00848}$

4 0

3 years ago