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2 years ago

Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.

Mathematics

2 answers:

Tema [17]2 years ago

5 0

For every 5 movies on his list, there are 2 comedy movies.

Luda [366]2 years ago

5 0

Answer:

For every 5 movies on the list there are 2 comedy movies.

Step-by-step explanation:

In this question Colton has comedy movies = 8

Action movies = 6

Fantasy movies = 5

Drama movies = 1

So total number of movies in his favorite list = 8+6+5+1 = 20

Now we have to calculate the ratio of each kind of movie out of total number of movies.

The ratio of Comedy movie to the total $=\frac{8}{20}$ $=\frac{2}{5}$

Ratio of Action movies to the total $=\frac{6}{20} =\frac{3}{10}$

Ratio of Fantasy movie to the total= $\frac{5}{20} =\frac{1}{4}$

and the ratio of drama to the total number of movies = $\frac{1}{20}$

After analyzing these solutions we can say that for every 5 movies on the list, there are 2 comedy movies.

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Step-by-step explanation:

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2 years ago

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Answer:

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2 years ago

A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-

sergiy2304 [10]

Answer:

The t-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

$CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}$

Here,

$\bar x_{d}$ = sample mean of the difference,

$s_{d}$ = sample standard deviation of the difference,

n = sample size (both samples are of same size).

$t_{\alpha/2, (n-1)}$ = critical value of t

(n - 1) = degrees of freedom

The information provided is:

n = 5

Confidence level = 95%

The critical value of t is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}$

$=t_{0.025, 4}$

$=2.776$

*Use a t-table for the critical value of t.

Thus, the t-value used for the 95% confidence interval of paired data is 2.776.

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2 years ago

A baker determined the annual profit in dollars from selling pies using p n( ) = 52n − 0.05n2 , where n is the number of pies so

miss Akunina [59]

Answer:

The annual profit if the baker sells 400 pies would be US$ 12,800

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Annual profit in dollars from selling pies using p n( ) = 52n − 0.05n² , where n is the number of pies sold

Annual sales of the baker = 400 pies

2. Let's solve p for 400 pies

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p (n₄₀₀) = 52 * 400 − 0.05 * 400²

p (n₄₀₀) = 20,800 − 0.05 * 160,000

p (n₄₀₀) = 20,800 − 8,000

p (n₄₀₀) = 12,800

The annual profit if the baker sells 400 pies would be US$ 12,800

Note: Same answer to question 14179960, answered by me today.

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2 years ago