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2 years ago

Fundamental Counting Principle (L2)

Mathematics

2 answers:

galina1969 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

2^4

sukhopar [10]2 years ago

5 0

16 possible outcomes

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Is 1/3x-2y=7 a linear function

Ann [662]

Answer:

The equation is not a linear function.

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3 years ago

the ratio of strawberry to banana batter is 2:3. we need 30 cups of batter total. what percent of the cake batter is banana

Dovator [93]

You first do 3 + 2, which would equal 5. Then, you would just do 3/5.

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2 years ago

A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre

Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

Two groups of 22 patients, hence, the standard errors are:

$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{25 - 0}{11.14}$

$t = 2.2438$

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

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2 years ago

- Ralph is saving money. He already has $50. To make

ElenaW [278]

Answer:

He will need to mow 5 lawns.

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3 years ago

While watching a parade I saw some clowns and horses. I counted 30 legs and 10 heads. How many horses did I see in the parade?

emmasim [6.3K]

The answer is 5 horses

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3 years ago