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Romashka-Z-Leto [24]
2 years ago
15

Find a linear inequality with the following solution set. Each grid line represents one unit.

Mathematics
1 answer:
ikadub [295]2 years ago
5 0

The linear inequality in standard form is: x + y < -2 or x + y + 2 < 0

<h3>How to Write a Linear Inequality?</h3>

To determine what sign to use, follow these rules:

  • Use "<" or ">" when the boundary line is dotted or dashed.
  • Use "<" or "≤" when the shaded area is under the boundary line (dotted or dashed).
  • Use "≤" or "≥" when the boundary line is not  dotted or dashed.
  • Use ">" or "≥" when the shaded area is above the boundary line (dotted or dashed).

The graph given has the following features:

  • It has a boundary line that is dotted/dashed.
  • It has a shaded area that is under the boundary line.
  • Thus, the inequality sign we would use is, "<".

Find the slope:

Slope (m)= rise/run = -(2 units) / (2 units).

Slope (m) = -1.

The y-intercept (b) = -2.

Substitute m = -1 and b = -2 into y < mx + b:

y < (-1)x + (-2)

y < -x - 2

Rewrite

x + y < -2

x + y + 2 < 0

Learn more about inequality on:

brainly.com/question/11234618

#SPJ1

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In a group of 31 pupils, 4 play the flute only. 14 play the piano only. 7 play neither instrument. A student is selected at rand
solmaris [256]

Answer:

probability the student plays both instruments is [  \frac{6}{31}  ]

<h2>                         <u>Explanation</u>:</h2>

students who play both instruments = total students - flute players - piano players - students who play neither instruments

students who play both instruments

→ 31 - 4 - 14 - 7

→ 6 students play both instruments.

probability:

<h2>→  \boxed{\frac{students- who -play- both- instruments}{total -students} }</h2><h2>→                     \boxed{\frac{6}{31} }</h2>
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2 years ago
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40081 in scientific notation
Maksim231197 [3]

4.0081 x 10 to the 4th power. I know because I did this one.

4 0
4 years ago
If I have 150,000 crystals, and ONE costume cost 4,000 crystals, how many costumes can I buy total?
MArishka [77]
Okay, think of it this way: 

You have to find how many times 4,000 goes into 150,000. 

This will tell you how many costumes you can buy.

To make this easier, we can divide 4 by 150. (this is proportional to 4,000 and 150,000 since we took 3 zeros from each number; you will get the same answer) 

150/4= 37.5 

You can buy 37 whole costumes.

Hope this helped! 
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3 years ago
Anyone who plays or watches sports has heard of the "home field advantage." Teams tend to win more often when they play at home.
AveGali [126]

Answer:

H0 : μ = 0.5

H0 : μ > 0.5

Kindly check explanation

Step-by-step explanation:

H0 : μ = 0.5

H0 : μ > 0.5

We perform a right tailed test :

Sample proportion :

Number of games won, x = 142

Number of games, n = 250

phat = x / n = 142 / 250 = 0.568 = 56.8%

Yes, it is consistent

Test statistic :

(phat - p) * √Phat(1-Phat)/n

1 -Phat = 1 -0.568 = 0.432

(0.568 - 0.5) /√(0.568*0.432)/250

0.068 / 0.0313289

= 2.17

The Pvalue using the z test statistic :

Pvalue = 0.015

α = 0.03

Since ;

Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.

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3 years ago
Laura has a 5-digit combination lock on her briefcase and has forgotten the
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Answer: 4000

Step-by-step explanation:

don’t have it just know that’s the answer

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