Using proportions, it is found that there are 68 blue tiles.
The rule of three is:
4 blue - 25 total
x blue - 425 total
Applying cross multiplication:
There are 68 blue tiles.
To learn more about proportions, you can check brainly.com/question/24372153
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.
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.
Answer:
Categorical is the correct answer to this question.
Step-by-step explanation:
The variable class standing is "Categorial".
y=nx+m
N=?
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 = average ounces of ice cream consumed by American per month
So, Null Hypothesis, : 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}
Alternate Hypothesis, : > 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. = ~
where, = sample average = 19 ounces
s = sample standard deviation = 5 ounces
n = sample of Americans = 25
So, test statistics = ~
= 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.
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;
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Answer:The fourth option
Step-by-step explanation:
Answer:
The Fourth Answer
Step-by-step explanation:
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,
So, the height of uniform density curve is 0.028.