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Mathematics

1 answer:

Scrat [10]3 years ago

3 0

Answer:

Step-by-step explanation:

To find out how many times a 2 should be rolled in 30 tosses, take the probability times the number of tosses

Number of two's = 30 * 1/6

We should get 5

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A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b)

Anit [1.1K]

Answer:

8 sand bags

Step-by-step explanation:

300 - 140 = 160

160 ÷ 20 = 8

8 sand bags of 20-pounds each.

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3 years ago

What is the verbal expression for -(-32)

Evgen [1.6K]

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3 years ago

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A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height. What is the volume of the cylinde

Alex777 [14]

let's first off convert the mixed fractions to improper fractions, and then get its volume, bearing in mind that the radius is half the diameter.

$\stackrel{mixed}{19\frac{3}{4}}\implies \cfrac{19\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{79}{4}} ~\hfill \stackrel{mixed}{1\frac{2}{5}}\implies \cfrac{1\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{7}{5}} \\\\[-0.35em] ~\dotfill$

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=\frac{79}{4}\\[1em] r=\frac{7}{5}\cdot \frac{1}{2}\\ \qquad \frac{7}{10} \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{7}{10} \right)^2\left( \cfrac{79}{4} \right)\\\\ V=(3.14) \left( \cfrac{7}{10} \right)^2\left( \cfrac{79}{4} \right)\\\\ V\approx 30.39 \end{array}$