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3 years ago

What is the volume of the composite figure below?

Mathematics

2 answers:

horsena [70]3 years ago

6 0

You would multiply or cross multiply

Inga [223]3 years ago

3 0

First we can find the volume of the smaller rectangle with l•w•h. So we'd multiply 12•9•6. That equals 648. Now, the bigger rectangle is the same formula with multiplying length, width, and height. So, 6•27•12, that is equal to 1,994. We add both volumes from each rectangle and that is the final product of the composite figure 1994+648. V=2,592

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Empirical rule (statistics)Help please!!!

emmasim [6.3K]

The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.

Let $X$ be the random variable denoting vehicle speeds along this highway. We want to find $P(61$ . To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.

Notice that $61=70-9=70-3\cdot3$ , and $79=70+9=70+3\cdot3$ . In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so $P(61$ .

8 0

3 years ago

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$

$P = 278 + 208$

$P = 486$

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0

2 years ago

Read 2 more answers

Holly bought blank CD's and spent $34.57.What is that amount rounded to the nearest dollar?.

Tamiku [17]

Answer:

$35

Step-by-step explanation:

Rounding to the nearest dollar which would be 4 so in that case you would use the 5 in .57 and because 5 is a large number it would make the 4 into a five thus making it $35. Hope this helped :)

3 0

2 years ago

Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag co

kotegsom [21]

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0 175/45=3.889

b 420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

4 0

3 years ago

Which of the following represents the equation for volume?( A) L x H (B) L x W (C)

Y_Kistochka [10]

The answer to that would be D!

4 0

3 years ago