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victus00 [196]
3 years ago
11

What's the system of linear equations by the solution graphed below

Mathematics
2 answers:
AfilCa [17]3 years ago
8 0
D should be the correct answer. <span>Hope this helps! Brainliest would be appreciated!</span>
bija089 [108]3 years ago
7 0
<h2>Answer:</h2>

The system of linear equation that is graphed is:

  Option: A

         A.   y > -1 and   y ≤ -x

<h2>Step-by-step explanation:</h2>
  • By looking at the graph we observe that the first inequality:

Is a strict inequality (since the graph is a dotted line which passes through (0,-1) and is a horizontal line parallel to the x-axis )

Also, the shaded region is above the line i.e. towards the origin.

This means that the line passes the zero point test.

Hence, the inequality which satisfies this condition is:

                                 y > -1

  • Also, the graph of the second inequality:

Is a solid line (i.e. the inequality is not strict) and the line satisfies the relation y= -x and the shaded region lie below the line i.e. the inequality is given by:

                                       y ≤ -x

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In how many ways can the letters of the word ``COPYRIGHT'' be arranged?
PilotLPTM [1.2K]

Answer:

362,880 ways

Step-by-step explanation:

There are 9 letters so 9!

And none of them are repeated so 9!/0!

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I hope this helps, and plz mark me brainliest!!

4 0
3 years ago
HELP ASAP<br> WORTH 10 POINTS
iogann1982 [59]
The answer is 5/4 in fraction form

1.25 in decimal form
8 0
3 years ago
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The Slow Ball Challenge or The Fast Ball Challenge.
cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

Pitches = 7

P(Hit) = 80\%

Win = \$60

Lost = \$10

Fast Ball Challenge

Pitches = 3

P(Hit) = 70\%

Win = \$60

Lost = \$10

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 7 --- pitches

x = 7 --- all hits

p = 80\% = 0.80 --- probability of hit

So, we have:

P(x) =^nC_x * p^x * (1 - p)^{n - x}

P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}

P(7) =1 * 0.80^7 * (1 - 0.80)^0

P(7) =1 * 0.80^7 * 0.20^0

Using a calculator:

P(7) =0.2097152 --- This is the probability that he wins

i.e.

P(Win) =0.2097152

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 -0.2097152

P(Lose) = 0.7902848

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.2097152 * \$60 + 0.7902848 * \$10

Using a calculator, we have:

Expected = \$20.48576

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 3 --- pitches

x = 3 --- all hits

p = 70\% = 0.70 --- probability of hit

So, we have:

P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}

P(3) =1 * 0.70^3 * (1 - 0.70)^0

P(3) =1 * 0.70^3 * 0.30^0

Using a calculator:

P(3) =0.343 --- This is the probability that he wins

i.e.

P(Win) =0.343

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 - 0.343

P(Lose) = 0.657

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.343 * \$60 + 0.657 * \$10

Using a calculator, we have:

Expected = \$27.15

So, we have:

Expected = \$20.48576 -- Slow ball

Expected = \$27.15 --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0
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sp2606 [1]
The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
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        760 CDs --------------------- x vinyl records
     ---------------------------------------------------------
        80  : 760 = 1 : x
        80 x = 760
        x = 760 : 80
        x = 9.5  or 9 ( we need a whole number )
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Step-by-step explanation:

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