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3 years ago

37. Two years ago, Bob flew 6 x 105 miles in an airplane. This was 15 times as many

Mathematics

1 answer:

gogolik [260]3 years ago

3 0

Answer:

A. 4·10⁴

Step-by-step explanation:

The problem statement tells you ...

6×10⁵ miles = 15 × (last year's mileage)

Dividing by 15 gives ...

(60×10⁴ miles)/15 = (last year's mileage) = 4×10⁴ miles

_____

<em>Further explanation</em>

An exponent is an indication of repeated multiplication.

10⁵ = 10·10·10·10·10 = 100,000

We can use the associative property of multiplication to rewrite the number of miles:

6×10⁵ = 6·(10·10·10·10·10) = 600,000 = (6·10)·(10·10·10·10) = 60×10⁴

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A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects

Yakvenalex [24]

Answer:

a) (iii) ANOVA

b) The ANOVA test is more powerful than the t test when we want to compare group of means.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $p=10$ groups and on each group from $j=1,\dots,p=10$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

Solution to the problem

Part a

(i) confidence interval

False since the confidence interval work just when we have just on parameter of interest, but for this case we have more than 1.

(ii) t-test

Can be a possibility but is not the best method since every time that we conduct a t-test we have a chance that we commit a Type I error.

(iii) ANOVA

This one is the best method when we want to compare more than 1 group of means.

(iv) Chi square

False for this case we don't want to analyze independence or goodness of fit, so this one is not the correct test.

Part b

The ANOVA test is more powerful than the t test when we want to compare group of means.

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3 years ago

A line with the slope of -4 passes through the point (8,-3). What is the equation in point slope form

user100 [1]

Y=Mx + c
The slope is given already so it will be :
Y=-4x+c
Now you can find C by replacing the given points

-3=-4(8)+c

C=9

Final answer is :

Y= -4x+9

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2 years ago

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Bumek [7]

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3 years ago

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zzz [600]

Answer:

yes

Step-by-step explanation:

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- 8(3) - 2(2) = - 24 - 4 = - 28 < 6

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Answer:

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