In the given equation, k is a constant. If the equation has no solution, what is the value of k?

svetoff [14.1K]

Connor
Initial Value=200ft
Rate of Change=10ft/min

Pilar
Initial Value=242ft
Rate of Change=8ft/min

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]

Answer-

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

Solution-

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

In a play-school with 500 students, the number of boys is 20 more than five-sevenths of the number of girls. Let’s find the numb

Arisa [49]

Answer:

Ok, so we can express the boys as another letter. just express them as the letter B for boys.

Step-by-step explanation:

I really don't know why.

8 0

3 years ago

The perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?

Travka [436]

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Define length and width
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Let x be the width
width = x
Length = 2x + 4

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Formula
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Perimeter = 2(length + width)

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Find Length and width
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62 = 2(2x + 4 + x)
62 = 2(3x + 4) ← combine like terms 
62 = 6x + 8 ← remove bracket 
62 - 8 = 6x ← minus 8 on both sides 
6x = 54 ← swap sides 
x = 54 ÷ 6 ← divide by 6 on both sides
x = 9 m

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Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m

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Answer: Length = 22m
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3 0

3 years ago

Read 2 more answers

Two number cubes are rolled for two separate events: event A is the event that the sum of numbers on both cubes is less than 10.

Inessa05 [86]

A event would be five I think and the event of b would be nine

5 0

3 years ago