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3 years ago

Which point could be removed in order to make the relation a function? {(–4, 3), (–5, 6), (1, 0), (–4, 5), (9, 5), (0, –7)}

1 answer:

3 0

When there are two equivalent x values, the table cannot produce a function, so you would have to remove (-4,3) or (-4,5) because they have the same x values.

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If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure

const2013 [10]

Answer:

$DG = 26$

$GE = 26$

$DF = 15$

$CH = 14$

$CE = 28$

Step-by-step explanation:

The figure has been attached, to complement the question.

$DE = 52$

$FC = 15$

$HE = 14$

Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:

$DF = FC$

$CH = HE$

$DG = GE$

Solving (a): DG

If $DG = GE$ , then

$DE = DG + GE$

$DE = DG + DG$

$DE = 2DG$

Make DG the subject

$DG = \frac{1}{2}DE$

Substitute 52 for DE

$DG = \frac{1}{2} * 52$

$DG = 26$

Solving (b): GE

If $DG = GE$ , then

$GE = DG$

$GE = 26$

Solving (c): DF

$DF = FC$

So:

$DF = 15$

Solving (d): CH

$CH = HE$

$CH = 14$

Solving (e): CE

If $CH = HE$ , then

$CE = CH + HE$

$CE = 14 + 14$

$CE = 28$

7 0

2 years ago

Robert has a container in the shape of a cube with an edge length of 6.1 cm. What is the volume of the container? Enter your ans

pickupchik [31]

226.981 I think Because you have to multiply 6.1*6.1*6.1

5 0

2 years ago

A car company is testing a new type of tire. They want to determine the time to 60 mph from a full stop in light rain, light sno

Andrej [43]

Answer:

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Step-by-step explanation:

Previous concepts

By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".

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 $p$ 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

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

Solution to the problem

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.

And for this case we can use a one way ANOVA to test if the means are equal in the 3 groups.

3 0

2 years ago

Please answer if so thank you and explain

anyanavicka [17]

Y=12+2x
y represents the number of pieces she now knows, x represents the number of weeks she has taken lessons, 2 is the slope (the number of pieces she'll learn each week), and 12 is the y intercept (the number of pieces she knew before taking lessons).

To solve the equation for 11 weeks, we replace x with 11.

2×11+12= 24
y=24

8 0

2 years ago

Which equation would you use to solve this problem?

Anon25 [30]

You would use 6 = (0.08)w

7 0

2 years ago

Read 2 more answers