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3 years ago

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

2 answers:

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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The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c

kondor19780726 [428]

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

Write in slope intercept form . y+4=−12(x−2)

inna [77]

Answer:

Step-by-step explanation:

y+4=−12(x−2)

Step 1: Add -4 to both sides.

y+4+−4=−12x+24+−4

y=−12x+20

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3 years ago

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AVprozaik [17]

Answer:

i'm confused if you know why are you asking

Step-by-step explanation:

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3 years ago

a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of

Nady [450]

Step-by-step explanation:

1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.

2.Clearly it forms a triangle in the parallelogram with three known lengths of side.

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

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3 years ago

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Abigail mixes 2/3 pounds of walnuts with 3/5 puns of dried fruit.To create more of the same mixture how many pounds of walnuts d

Nataly_w [17]

Step one. create a common denominator.
ex. 15
walnuts = 10/15 dried fruit= 9/15

so if you had 15/15 pounds of dried fruit you would need 16/15 pounds of walnuts

which is 1 1/15 pounds of walnuts

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3 years ago