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fredd [130]
3 years ago
7

The height of one cottage will be 3 meters, and the volume will be 108 cubic meters. What tool can help you find different dimen

sions for the floor? Give two different possible pairs of dimensions for the floor.Explain.

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

Step-by-step explanation:

A.

• Models

• Drawing - geometry

B.

Given:

Height, h = 3 m

Volume of prism, V = 108 m^3

Volume of the rectangular prism, V = Area of the base, A × height, h

Area, A = 108/3

= 36 m^2

Area of the rectangle, A = length, L × width, B

LB = 36 m^2

Dimensions:

1. Length: 18 m

Width: 2 m

2. Length: 9 m

Width: 4 m

3. Length: 12 m

Width: 3 m

Since the area of the base Is equal to the area of a rectangle, therefore the sides are just multiples of 36. That is, 12 × 3, 9 × 4 and 18 × 2

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Strike441 [17]

Answer:

The sample data confirm the geneticist's prediction that 75% of the offspring from this cross will have red flowers.

Step-by-step explanation:

A Chi-square goodness of fit test can be used to test the claim made by the geneticist.

The hypothesis is defined as:

<em>H₀</em>: There is no difference between the observed and expected value,i.e. <em>p</em>₁ < 0.75.

<em>Hₐ</em>: There is a significant difference between the observed and expected value, i.e. <em>p</em>₁ > 0.75.

The test statistic is:

\chi^{2}=\sum \frac{(O-E)^{2}}{E}

Consider the tables attached below.

The value of the test statistic is:

\chi^{2}=\sum \frac{(O-E)^{2}}{E}=25.8133

The critical value is:

\chi^{2}_{\alpha, k-1}=\chi^{2}_{0.01, 1}=6.635

*Use a Chi-square table.

The critical region is:

\chi^{2}\geq 6.635

The test statistic value of 25.8133 lies in the critical region.

The null hypothesis is rejected at 1% level of significance.

<u>Conclusion</u>:

As the null hypothesis is rejected it can be concluded that 75% of the offspring from this cross will have red flowers.

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Answer:

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Step-by-step explanation:

It takes 12 men 5 days to complete a job. Work out how many days it would take 3 men to complete the same job.

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