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3 years ago

5

Choose and use two mathematical properties (the commutative property, combining like terms, or the distributive property) to cre

ate one equivalent

1 answer:

VashaNatasha [74]3 years ago

3 0

Commutative property:- x + 2 = 2 + x

distributive property:- 2x - 2 = 2(x - 1)

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maya used a drwaing to divide 86 she made groups of 17 with 1 left over. Draw a picture to determine how many groups may made.

REY [17]

Check the picture below.

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2 years ago

Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Inessa [10]

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

<em>Remember that the m in y = mx + b is our slope</em>

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6 take the number -3

negative reciprocal = -1/6 negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

3 0

3 years ago

I need Geometry help!!!!

Goryan [66]

What we know:
1. y = 2x because angles facing each other are equal to each other
2. A straight line means 180 degrees.

Steps:
y + (x + y + 5) = 180
2y + x = 175
2 (2x) + x = 175
5x = 175
x = 35
y = 2 (35) = 70

5 0

2 years ago

In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

LuckyWell [14K]

Answer:

$MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

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

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

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

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

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

We can find the $MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic $F=\frac{MSR}{MSE}=$

8 0

3 years ago

Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships

Ganezh [65]

Answer:

Option A is the right answer.

146-4b = 122-1b

Reason: vertical angles

8 0

2 years ago