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dimaraw [331]
3 years ago
8

2 Solve for k. -8k+ 6 = –10k + 10 k

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:

k=2

Step-by-step explanation:

tigry1 [53]3 years ago
4 0

Answer:

k=3/4

Step-by-step explanation:

-8k+6=-10k+10k

-8k+6=0

6=8k

8k=6

k=6/8

k=3/4

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sammy [17]
The correct answer is C, 6.15
3 0
3 years ago
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Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water t
zzz [600]

Answer:

6

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = x

Number of water bottles left with Sylvia = 24-x

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = 3x

Number of water bottles left with Sam = 36-3x

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}

So, number of water bottles sold by Sylvia = <em>6</em>

7 0
3 years ago
A 48 in, by 36 in. poster is reduced to an image that is 8 in. by 6 in. in size to be used for a flyer. What is the scale factor
oee [108]
Before we solve, let's define what a scale factor is. A scale factor is a certain number that can be multiplied or divided by to get a smaller or bigger image that's similar to the current image.

We have 48 by 36 as our original.
It has been reduced to an 8 by 6.

This means we must divide.

Before we get into any complicated ideas, if any, let's try a simple trick.
Divide 48 by 8 and 36 by 6. This should give us a scale factor if they give us the same quotients.

48 / 8 = 6
36 / 6 = 6

It turns out our scale factor is 1/6 (the same as dividing by 6).
The answer cannot be 1/8 because 36 / 8 doesn't give us 8 as a quotient.
The answer also cannot be 6 because we'd have to mutliply our current sides by 6 to get the new image, which it was the opposite.

By elimination and work shown, A.) 1/6 is the correct answer.

I hope this helps!
6 0
3 years ago
What is the probability that he will hit fewer than 8 of the bottles?
torisob [31]

Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, we have that:

  • The probability of a bottle being hit is of p = 0.95.
  • There are n = 10 bottles.

The probability that he hits fewer than 8 of the bottles is given by:

P(X < 8) = 1 - P(X \geq 8)

In which:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746

P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151

P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987

Hence:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988

P(X < 8) = 1 - P(X \geq 8) = 0.012

The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

More can be learned about binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
A circle has a diameter of 12 inches what is the radius of the circle ?
Aleks [24]
The answer is that the radius is 6
8 0
4 years ago
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