red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).

Answers

Answer 1
Answer:

Using proportions, it is found that there are 68 blue tiles.

  • This question is solved by proportions, using a rule of three.
  • For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?

The rule of three is:

4 blue - 25 total

x blue - 425 total

Applying cross multiplication:

25x = 4(425)

x = (4(425))/(25)

x = 68

There are 68 blue tiles.

To learn more about proportions, you can check brainly.com/question/24372153

Answer 2
Answer:

Final answer:

To determine the number of blue tiles used in a pattern, a proportion can be set up with the ratio of red to blue tiles and the total number of tiles. By setting the unknown number of blue tiles as x and cross-multiplying, we find that there are 68 blue tiles used.

Explanation:

To solve how many blue tiles are used, we can set up a proportion based on the given pattern. For every 21 red tiles, there are 4 blue tiles. If a total of 425 tiles are used, we can express this relationship as a fraction:



Red tiles : Blue tiles = 21 : 4



Since the total number of tiles is 425, we can express the unknown number of blue tiles as x. The number of red tiles would then be 425 - x. Our proportion is:



21 / 4 = (425 - x) / x



Cross-multiplication gives us:



21x = 4(425 - x)



Solving for x gives us:



21x = 1700 - 4x



21x + 4x = 1700



25x = 1700



x = 1700 / 25



x = 68



So, there are 68 blue tiles used.


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Employees at a large company are surveyed about their health insurance status. Employees are coded as "1" if health insurance is obtained through the company’s benefit program, "2" if health insurance is obtained from another source (such as through a spouse’s employment benefit program), or "0" if the employee does not have health insurance. This variable is:categorical numerical quantitatively categorical All answers of the answer options are correct.

Answers

Answer:

Categorical is the correct answer to this question.

Step-by-step explanation:

The variable class standing is "Categorial".

  1. As a categorical variable, it is a factor that can accept one of a small, and typically set, range of additional values, assigned each person, and another unit of measurement to a specific group or marginal class on the grounds of some long-lasting.
  2. The data obtained may be either prescriptive or numeric.
  3. Numbers also make no sense when you allocate significance to certain numbers.
  4. Categorical data will help you go there. Classic data is when statistics are obtained in classes or categories.

Solve the equation for n

y=nx+m

N=?

Answers

n= (y-m)/x

y minus m over x

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month. A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces. Breyers would like to set LaTeX: \alpha = 0.025 α = 0.025 for the hypothesis test. It is known that LaTeX: z_{\alpha}=1.96 z α = 1.96 and LaTeX: t_{\alpha}=2.06 t α = 2.06 for the df = 24. Also, it is established that the ice cream consumption follows the normal distribution in the population. The conclusion for this hypothesis test would be

Answers

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let \mu = average ounces of ice cream consumed by American per month

So, Null Hypothesis, H_0 : \mu \leq 17 ounces     {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, H_A : \mu > 17 ounces    {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

                                 T.S.  = (\bar X-\mu)/((s)/(√(n) ) )  ~ t_n_-_1

where, \bar X = sample average = 19 ounces

             s = sample standard deviation = 5 ounces

             n = sample of Americans = 25

So, test statistics  =  (19-17)/((5)/(√(25) ) )  ~ t_2_4

                               =  2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 14. Use this information to find the proportion of measurements in the given interval. between 46 and 74

Answers

Approximately 68.26% of the measurements fall between 46 and 74 in this distribution.

To find the proportion of measurements between 46 and 74 in a normal distribution with a mean (μ) of 60 and a standard deviation (σ) of 14, we can use the standard normal distribution (z-score) and the cumulative distribution function (CDF).

First, we need to convert the interval endpoints to z-scores using the formula:

z = (x - μ) / σ

Where x is the value in the interval, μ is the mean, and σ is the standard deviation.

For x = 46:

z₁ = (46 - 60) / 14

z₁ = -1

For x = 74:

z₂ = (74 - 60) / 14

z₂ = 1

Using the Excel functions:

=NORM.S.DIST(-1) and =NORM.S.DIST(1)

The probabilities are 0.1587 and 0.8413 respectively.

Now, we want the proportion of measurements between z₁ and z₂, which is:

Proportion = 0.8413 - 0.1587

                  ≈ 0.6826

To learn more about the z-score;

brainly.com/question/15016913

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A theorem in geometry states that the measure of an inscribed angle is half the measure of its intercepted arc. In the figure, angle C intercepts arc AB and line AB is the diameter of the circle. Which equation is a step in showing that the measure of angle C=90 degrees?

Answers

Answer:The fourth option

Step-by-step explanation:

Answer:

The Fourth Answer

Step-by-step explanation:

Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:45 p.m. Lindsay's late arrival time, in minutes, represented by ???? , models a uniform distribution between 10 and 45 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places.

Answers

Answer: The height of uniform density curve is 0.028.

Step-by-step explanation:

Since we have given that

Uniform distribution between 10 and 45 minutes.

Here,

a = 10 minutes

b = 45 minutes

We need to find the height of the uniform density curve.

So, f(X=x)=(1)/(b-a)=(1)/(45-10)=(1)/(35)=0.028

So, the height of uniform density curve is 0.028.