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4 years ago

12

Use the drop-downs to complete the solution set of the given inequality. |s – 14| < 0.5

2 answers:

myrzilka [38]4 years ago

7 0

Hey there! :D

First, we need to solve the absolute value.

|s-14| <0.5

Keep the s-14 the same, and make the 0.5 the same for one solution, and flip the sign and make 0.5 negatives for the other solution.

s-14 <0.5

s-14>-0.5

(first solution)

s-14<0.5

Add 14 to both sides.

s<14.5

(second solution)

s-14>-0.5

Add 14 to both sides.

s>13.5

The solutions are:

s<14.5; s>13.5

I hope this helps!
~kaikers

Vinil7 [7]4 years ago

7 0

Answer: 13.5 and 14.5

Step-by-step explanation:

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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

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<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

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The number of ways we can do the same process =

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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)

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

∴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) =

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4 years ago

What is -0.75p-2=0.25p

ki77a [65]

you move first the number without the variable to the other side with the opposite sign

-0.75p=0.25+2

-0.75p=2.25

then as -0.75 is multiplying you pass it to the other side dividing

p=2.25/-0.75

p=-3

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