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3 years ago

Explain how you would solve 5x - 3 = 9. (there should be a minimum of 2 complete sentences). *

2 answers:

7 0

Haha, you first start off with adding 3 to both sides, cancelling the -3, and adding it to 9. you end up with 5x=12, in which you divide both sides by 5. you get 2 and 2/5 or 12/5! hope that helps :)

Mrrafil [7]3 years ago

4 0

Answer: First, you would need identify what needs to be moved in order for the coefficient (5) and the variable x to be alone on one side of the equal sign.You'll see that -3 must be moved across the equal sign,resulting in 5x standing alone on one side. -3 has to be canceled out so you +3 to make it zero and +3 on the opposite side of the equal sign. The equation would now be 5x=12 because 9+3 is equivalent to 12.Now you perform division, dividing both sides by 5 for the x(variable) to stand alone. The answer is x= twelve-fifths(12/5).Then you will obviously you plug it back in to ensure of a correct answer.

Step-by-step explanation:Answer: First, you would need identify what needs to be moved in order for the coefficient (5) and the variable x to be alone on one side of the equal sign.You'll see that -3 must be moved across the equal sign,resulting in 5x standing alone on one side. -3 has to be canceled out so you +3 to make it zero and +3 on the opposite side of the equal sign. The equation would now be 5x=12 because 9+3 is equivalent to 12.Now you perform division, dividing both sides by 5 for the x(variable) to stand alone. The answer is x= twelve-fifths(12/5).Then you will obviously you plug it back in to ensure of a correct answer.

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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

diamong [38]

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$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

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:

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

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

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

And we have this property

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

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

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

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

8 0

3 years ago

X - (6.9) = 42.8<br><br> x = 42.8 +

Harman [31]

I hope this helps you

x=42.8+6.9

x=49.7

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3 years ago

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sukhopar [10]

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3 years ago