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harkovskaia [24]

4 years ago

10

On friday 1/6 of band pracitce was spent trying on uniforms. the band spent 1/6 of practice on marching, the remaining practice

time was spent playing music. what fraction of practice time was spent playing music?

1 answer:

Stella [2.4K]4 years ago

4 0

4/6 of the time was spent to play music because 1/6 + 1/6 = 2/6
6/6 - 2/6 = 4/6

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Find the arc length for arcs of circles as follows:

Sauron [17]

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{\frac{\pi }{4} }{2\pi }$ ( cancel 2π on numerator/ denominator )

= 15 × $\frac{\pi }{4}$

= $\frac{15\pi }{4}$

≈ 11.78 in ( to 2 dec. places )

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2 years ago

If 3.485 ÷ 5.1 is written in long division form as so that the divisor is written as a whole number, where should the decimal po

sineoko [7]

It is 3.485 in the inside and 5.1 at the outside but the answer is <span>0.68333333333</span>

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3 years ago

Find the volume of a cylinder with radius 8cm and height 10 cm, correct to 2 decimal places.

serious [3.7K]

Answer:

$2010.62cm^3$

Step-by-step explanation:

The formula for the area of a circle is : $\pi *radius^2$

To work this out you would first have to work out the area of the circle. You can do this by multiplying pi by 8 squared, this gives you 201.06. This is because in order to calculate the volume you must calculate the area of one face of the shape.

The next step is to multiply 201.06 by 10, this gives you 2010.62.

1) Multiply pi by 8 squared.

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2) Multiply 201.06 by 10.

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4 years ago

A chef cooked 7 kilograms if the guests only ate 3 quaters of the amount he cooked how much did they eat

Oduvanchick [21]

5.25 kilograms.

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6 0

3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago