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ycow [4]
3 years ago
12

Find the scale factor of a cube with volume 729 ft3 to a cube with volume 2197 ft3

Mathematics
2 answers:
Step2247 [10]3 years ago
8 0
To determine the scale factor, we first get the cube roots of the volumes of the cubes.
          (Cube 1) =     729^(1/3) = 9
           (Cube 2) =    2197^(1/3) = 13
Therefore, the scale factor of these similar polygons is 9:13. 
LenaWriter [7]3 years ago
7 0
Scale factor = (2197-729)/729===)Sale factor = 2.014
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Answer:

H_0:\mu  = 45 and H_a:\mu  < 45

T = 34.88

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\mu =45 and \sigma= 9.1

This is the null hypothesis i.e.

H_0:\mu  = 45

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

H_a:\mu  < 45

Solving (b) and (c): The test statistic (T).

This is calculated using:

T = \frac{\mu}{\sigma/\sqrt n}

In this case:

n = 50   \mu =45 and \sigma= 9.1

So:

T = \frac{45}{9.1/\sqrt{50}}

T = \frac{45}{9.1/7.07}

T = \frac{45}{1.29}

T = 34.88

Solving (c): Accept or reject null hypothesis

\alpha = 0.05

First calculate the degrees of freedom (df)

df = n - 1 = 50 - 1

d f = 49

From the t distribution table,

At: d f = 49,  \alpha = 0.05 and T = 34.88

the t score is:

p = 1.676

p > 0.05

<em>So, the null hypothesis is not rejected</em>

7 0
3 years ago
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inna [77]

Answer:

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Step-by-step explanation:

y+4=−12(x−2)

Step 1: Add -4 to both sides.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.

3 0
3 years ago
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