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mario62 [17]
3 years ago
8

Kevin bikes at a steady rate from home to school. A line graph shows his distance y from home, in miles, after x minutes. What d

oes the slope of the line graph represent?
1)Kevin's starting distance from home.
2)The rate at which Kevin's distance from home changes per minute.
3)Kevin's starting distance from school.
4)The rate at which Kevin's biking speed changes per mile.
NEED FAST
Mathematics
2 answers:
Setler79 [48]3 years ago
8 0

Answer:

2nd answer

Step-by-step explanation:

atroni [7]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The rate at which Kevin's biking speed is what the question is asking you so that's the best answer.

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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
Define variables and write a system of equations for each situation. Solve by using substitution.Suppose you want to join a vide
MrRa [10]

Answer:

The cost is the same after 15 video rentals

Step-by-step explanation:

Let the total cost be y

Let the number of video rentals made be x

Discount card for Big video = $9.99

Discount card for Main Street video = $20.49

Cost of 1 big video rental = $2.49

Cost of 1 Main Street video rental = $1.79

Cost of video rentals with big video:

Y = 9.99 + 2.49x………….(1)

Cost of video rentals with main street video :

Y = 20.49 +1.79x…………(2)

For the two costs to be equal, the two equations have to be equal to each other

Equating equations (1) and (2)

9.99 + 2.49x = 20.49 +1.79x

0.7x = 10.5

X = 10.5/0.7

X = 15  video rentals

8 0
3 years ago
What is the vertex of function f(x)=(x-3)(x+5)?
butalik [34]

Answer:

( − 1 , − 16 )

Step-by-step explanation:

6 0
3 years ago
14 5 18 24 15 28 34 _ what number is needed to complete the pattern
AlekseyPX
Minus 9, add 13, add 6, mus 9, add 13, add 6, minus 9 is next

34-9=25
the blank is 25
4 0
3 years ago
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin
kkurt [141]

Answer:

<em>t = 3 seconds</em>

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

h (t) = 144 - 16t ^ 2

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

4 0
3 years ago
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