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Vitek1552 [10]
3 years ago
13

17. A television costs $270.25 including 15% sales tax. How much of the cost is tax?

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

The 15% is calculated on the cost before tax, $x.

So x + 0.15x = 270.25

1.15x = 270.25

x = 270.25/1.15

= $235.

So 270.25 - 235

= $35.25 was sales tax.

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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
Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?
zloy xaker [14]

Step-by-step explanation:

{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9

{2,3,5,7}---set of prime numbers from 0 tp 9

there are 10 numbers in the first set and 4 numbers in the second set.

4/9 is the probability that the digit he selects is a prime number

Hope that helps :)

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Question from ucscout need help asap
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Answer:

A.S.A congurency.

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Answer:

A) 19

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Order the numbers from least to greatest. 8, 0, -8, -3, 5
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Answer:

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Number the the negatives from greatest to least first and continue to number the positives from least to greatest.

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