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2 years ago

Absolute Value Inequalities -7|x-6|>-56

1 answer:

3 0

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$7\left|x-6\right|>-56$

$\frac{7\left|x-6\right|}{7}>\frac{-56}{7}$

$\left|x-6\right|>-8$

$\mathrm{True\:for\:all}\:x$

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A new restaurant with 134 seats is being planned. Studies show that 62% of the customers demand a smoke-free area. How many se

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3 years ago

A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa

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Answer:

$p_v= 0.01$

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Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

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"

Solution to the problem

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p=4$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

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

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And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

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Answer:

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Step-by-step explanation:

Reflection across the x-axis

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B'(- 8, 2) ---> B( - 8, -2)

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