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miss Akunina [59]
3 years ago
13

(giving brainiest)

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

b.

Step-by-step explanation:

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What is the simplified form of x+8/4-x+5/4?
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An air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maxim
Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

The sample selected is of size, <em>n</em> = 50.

The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:

t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000

*Use a <em>t</em>-table.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

     =6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

7 0
3 years ago
Given f ( x ) = 1 x + 10 , find the average rate of change of f ( x ) on the interval [ 8 , 8 + h ] . Your answer will be an exp
son4ous [18]

Answer: 1

Step-by-step explanation:

f(8+h)=8+h+10=18+h\\\\f(8)=8+10=18

So, the average rate of change is:

\frac{(18+h)-18}{(8+h)-8}=\frac{h}{h}=\boxed{1}

The question is wrong, the expression will not be in terms of h since it is a linear function.

6 0
2 years ago
The royals softball team played 75 games and won 55 of them. What percent of the games did they lose (round to the nearest hundr
dimaraw [331]
If they won 55 of the games, that means they lost the rest of the 75.  So,
75 - 55 = 20 games lost.  To find the percentage of 20 out of 75, you set up a proportion:

\frac{20}{75}=\frac{x}{100}

where x = the percentage of games lost.  Cross multiply and divide to isolate the x:

\frac{20}{75}=\frac{x}{100}\\75x=2000\\75x/75=2000/75\\x=26.6666667

Rounded to the nearest hundredth, the Royals lost 26.667 % of their games.
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3 years ago
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