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3 years ago

Define a variable then write each phrase as an algebraic expression.

Mathematics

1 answer:

zubka84 [21]3 years ago

3 0

Variable= is a place holder for a unknown number

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A city has 18 radio stations, including 9 oldies stations.

kari74 [83]

50% so 9/18, or 1/2 simplified

3 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

4 years ago

The system of equations is inconsistent.

Artist 52 [7]

There are an infinite numbers of solutions. The only information given in the second equation is the y-intercept of y =5 where the second line crosses the y-axis. And there are an infinite number of lines crossing that point and also intersecting the first linear equation.

8 0

4 years ago

nekit [7.7K]

<span>0.5 +x(0.5)
Hope this helped!</span>

7 0

4 years ago

Read 2 more answers

Which points are separated by a distance of 6 units? O A. (3, 2) (3,9) O B. (1,5) (1,3) O C. (2,7) (2, 1) O D. (4,1) (4,6)

elixir [45]

<h3>Answer: Choice C</h3>

Explanation:

The x coordinates are the same, so we subtract the y coordinates

7-1 = 6

This shows the points have a distance of 6 units. You can plot the two points and count the numbers of spaces between them to confirm this.

4 0

3 years ago