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Dahasolnce [82]
3 years ago
15

Floral designers often create arrangements where the flower height to container ratio is 5 to 3. A certain museum wishes to crea

te a floral display for the opening of a new show. They know they want to use an antique vase from their collection that is 17 inches high. How tall will the entire flower arrangement be if they use this standard ratio?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0
Set up a proportion of 5 over 3 and then x over 17
Cross multiply to get 17x=85
Then divide by 17
To get x to equal 28.33.
x=total height. 
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28

Step-by-step explanation

we can use Greatest common divisor to solve

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Find 5 1/2 x 1/3 in simplest form
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3 years ago
1
LekaFEV [45]
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2 years ago
The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p
VLD [36.1K]

Answer:

3.13

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

\chi^2_{1-\frac{\alpha}{2}}= 51.770

Chi square critical value for upper tail =

\chi^2_{\frac{\alpha}{2}}= 81.085

80% confidence interval:

\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}

Putting values, we get,

=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0
3 years ago
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