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Annette [7]
1 year ago
5

Match each inequality with its solution set.

Mathematics
1 answer:
zhuklara [117]1 year ago
4 0

Answer:

1. 2x + 1 ≤ 3.

2. 5x+7 217.

3. 1+ 3x ≥ -5.

4. 5-3x ≥ 11.

I hope it helps

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The following random sample was selected from a normal distribution: 4.5, 6.4, 2.3, 1.8, 5.3, then the 95% confidence interval t
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Answer:

the 95% confidence interval to estimate the population mean is between  1.62 and 6.50

Step-by-step explanation:

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to find out

the population mean is between

solution

first we calculate the mean i.e.

mean =  \frac{1}{n}\sum_{i=1}^{n}x(i)

mean =  4.5+ 6.4+ 2.3+ 1.8+ 5.3 / 5

mean = 4.06

now we calculate the standard deviation i.e.

standard deviation =   \sqrt{\frac{1}{n-1}\sum (x(i)-mean)^2}

standard deviation =   \sqrt{\frac{1}{5-1}\sum (x(i)-mean)^2}

standard deviation =   \sqrt{\frac{1}{5-1} (4.5-5)^2+(6.4-5)^2 +(2.3-5)^2+(1.8-5)^2+(5.3-5)^2}

standard deviation =   \sqrt{\frac{1}{4} (4.5-5)^2+(6.4-5)^2 +(2.3-5)^2+(1.8-5)^2+(5.3-5)^2}

standard deviation =  2.226544

so 95 % confidence interval is i.e. mean +/- t(5) * standard deviation/ \sqrt{n}

here t(5) will be 2.45

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95 % confidence interval=  4.06 +/- 2.45 * 2.226 / \sqrt{5}

95 % confidence interval= 1.62 and 6.50

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3 years ago
Solve the system by substitution x+4y=14 and 3x+4y=22
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Answer:

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Step-by-step explanation:

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Read 2 more answers
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