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Murrr4er [49]
3 years ago
7

Which number line shows the solution to the inequality −2(3x − 1) < 8?

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

<u>Solution of the inequality:</u>

  • −2(3x − 1) < 8            ⇒ Divide both sides by -2, this will change inequality    

                                              sign to opposite

  • 3x - 1 > -4                 ⇒ add 1 to both sides
  • 3x > -3                      ⇒ divide both sides by 3
  • x > -1                         ⇒ answer
  • x∈ (-1, ∞)                   ⇒ answer as set
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i am sorry if i'm wrong but i believe the answer is Courtney's age

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In Nebraska, the mean rain-fed corn yield of harvested fields are normally
NikAS [45]

Answer: 169.2 per acre are produced if a field is in the top 25%.

Step-by-step explanation:

Given:  The mean rain-fed corn yield of harvested fields are normally  distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.

Let X denote the mean rain-fed corn yield of harvested fields.

Let x denotes the number of bushels per acre are produced if a field is in the top 25%.

Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.

I.e.

P(X.

Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]

Then, \dfrac{x-147.2}{33}=0.6744

\Rightarrow\ {x-147.2}=33\times0.67\\\\\Rightarrow\ {x-147.2}=22.11\\\\\Rightarrow\ {x}=22.11+147.2=169.31

Here approx value is 169.2 (from options).

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6 0
3 years ago
Is (1, 13) a solution to this system of equations?<br><br> y = 8x + 5<br> y = 13<br><br> Yes or No
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#3 I don’t know how to do it ‍♀️
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3 years ago
Spencer borrowed $50 from his cousin, who charged him 6% simple interest each year. If Spencer pays his cousin back 3 years late
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Given:

Principal = $50

Rate of simple interest = 6%

Time = 3 years

To find:

The amount after 3 years.

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Formula for simple interest:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest in percentage and t is the number of years.

Putting P=50,\ r=6,\ t=3 in the above formula, we get

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A=P+I

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Putting P=50,\ I=9, we get

A=50+9

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Therefore, the correct option is B.

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2 years ago
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