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anygoal [31]
3 years ago
15

Find the volume of the composite figure

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

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mario62 [17]
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In a random sample of 74 women at a company, the mean salary is $39,902 with a standard deviation of $3270 in a random sample of
ValentinkaMS [17]
The correct answer is the first choice, ($1818.30, $5077.70.)

To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal:  95%=95/100 = 0.95
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Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Next, we identify 
\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677

Next we find
(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448

Next we find 
\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}&#10;\\&#10;\\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}}&#10;\\&#10;\\=831.479

Next, we multiply this value by z:
1.96(831.479) = 1629.70

The confidence interval is given by
3448\pm1629.70&#10;\\&#10;\\=(3448-1629.70, 3448+1629.70)&#10;\\&#10;\\=(1818.30, 5077.70)
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3 years ago
How many solutions does this system of
nalin [4]

Answer:

Step-by-step explanation:

3x + 2y = 6

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y = -3/2x + 3.....slope here is -3/2 and y int is 3

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y = 2/3x + 5/2.....slope here is 2/3 and y int is 5/2

different slopes, different y int means exactly ONE SOLUTION

3 0
3 years ago
Expand and simplify (x+6)(x−11)
KatRina [158]

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66

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2 years ago
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