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adoni [48]
3 years ago
5

Which graph represents the solution set to the system of inequalities?

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y < -\frac{3}{4}x+1-----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=\frac{3}{4}x+1

The slope of the dashed line is negative

The y-intercept of the dashed line is (0,1)

The x-intercept of the dashed line is (4/3,0)

y > \frac{2}{3}x-3-----> inequality B    

The solution of the inequality B is the shaded area above the dashed line y=\frac{2}{3}x-3

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-3)

The x-intercept of the dashed line is (4.5,0)

using a graphing tool

The graph in the attached figure

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vampirchik [111]

Answer;

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Step-by-step explanation:

divide each term by y then simplify

4 0
3 years ago
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maxonik [38]

Answer:

The answer to your question is given below

Step-by-step explanation:

From the question given above, the mean score is 23.

Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:

Mean deviation = | mean – Score |

Mean = 23

For Score 21:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 21 | = 2

For Score 22:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 22 | = 1

For Score 28:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 28 | = 5

For Score 29:

Mean deviation = | mean – Score |

Mean deviation = | 23 – 29 | = 6

SUMMARY:

Score >> Mean >> Absolute deviation

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

21 >>>>> 23 >>>>> 2

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

22 >>>>> 23 >>>>> 1

28 >>>>> 23 >>>>> 5

29 >>>>> 23 >>>>> 6

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3 years ago
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cricket20 [7]
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he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers tak
WINSTONCH [101]

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

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3 years ago
How do you break fractions into decimals
ArbitrLikvidat [17]
You divide the numerator by the denominator
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