The decimal expansion of 141/120 will terminate after how many places of decimals

A line contains points M(1, 3) and N(5, 0). What is the slope of MN? negative StartFraction 4 Over 3 EndFraction negative StartF

Roman55 [17]

0-3/5-1

-3/4

4 0

1 year ago

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In a completely randomized experimental design involving three assembly methods, 30 employees were randomly selected and 10 were

AnnZ [28]

Answer:

$F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32$

So then the best option is:

a. 7.32

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 $3$ groups and on each group from $j=1,\dots,10$ we have $10$ 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

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

Where SST represent the total sum of squares.

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1=3-1=2$ where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-K=30-3=27$ .

And the total degrees of freedom would be $df=N-1=30 -1 =29$

From the info given we know that $MSR=\frac{SSR}{2}=45.89$

And $MSE=\frac{SSE}{27}=6.27$

From definition the F statisitc is defined as:

$F = \frac{MSR}{MSE} =\frac{45.89}{6.27}=7.32$

So then the best option is:

a. 7.32

3 0

2 years ago

Leo is constructing a tangent line from point Q to circle P. What is his next step? circle P and point Q on the outside of circl

xxMikexx [17]

Answer:

The correct option is;

Construct a circle from point R with the radius RP

Step-by-step explanation:

To draw a tangent, the following steps are required

1) A line is drawn connecting the point to the center of the circle to which the tangent is to be drawn

2) The perpendicular bisector of the line constructed to get the mid point of the line

3) From the midpoint of the line found in the step above the compass is adjusted to reach the center of the given circle and a circular arc is drawn across the circumference of the given circle

4) The point of intersection of the arcs and the circumference of the given circle are the tangent points

Therefore, the correct option is to construct a circle from point R with the radius RP.

3 0

1 year ago

Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.

sergejj [24]

C because a negitive would equal positive

5 0

1 year ago

A farmer is having problems with birds eating her crops. She tries putting up different numbers of scarecrows to keep the birds

Alexeev081 [22]

Answer:

The value of the intercept is a=216.

Step-by-step explanation:

We define "s" as the number of scarecrows and "C" the number of crops eaten.

The farmer finds the linear regression equation:

$C=a-0.8s$

We have a linear function, for which we only know the slope (m=0.8) and a point within it (when s=20, C=200).

We can find a replacing the variables C asn s with the known point (20, 200):

$C=a-0.8s\\\\C(20)=a-0.8(20)=200\\\\a=200+0.8*20=200+16\\\\a=216$

The value of the intercept is a=216.

3 0

1 year ago