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Leno4ka [110]
2 years ago
9

Beth says that the graph of g(x)=x-5+1 is a

Mathematics
1 answer:
pav-90 [236]2 years ago
7 0

Answer:

(-15,3)

Step-by-step explanation:

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What is an equation of the line that passes through the point (-3,-1) and is
Yuri [45]

Answer:

y = -2x - 7

Step-by-step explanation:

x - 2y = 6

   -2y = -x + 6

Divide the whole equation by (-2)

\frac{-2y}{-2}=\frac{-x}{-2}+\frac{6}{-2}\\\\y = \frac{1}{2}x - 3

slope = 1/2

Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/2)

                                                                      =(-1)*\frac{2}{1}\\\\= -2

(-3, - 1)

y -y1 = m(x -x1)

y - [-1] = -2(x - [-3])

y + 1 = -2(x + 3)

y + 1= x* (-2)  + 3*(-2)

y + 1 = -2x - 6

    y = -2x - 6 - 1

     y = -2x - 7

6 0
3 years ago
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices​ (MUTCD). The perimeter of a rectangular traffic si
sasho [114]

The length and width of rectangular traffic sign are 40 and 30 inches respectively

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangular traffic sign = 140 inches

Let length and width be denoted as ‘L’ and ‘B’ respectively

Given that length is 10 inches longer than its width

L = 10 + B

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter = 2( L + B)

On substituting the values, we get

140 = 2(10 + B + B)

140 = 2(10 + 2B)

140 = 20 + 4B

B = 30

Therefore, the length is L = 10 + 30 = 40

Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.  

5 0
3 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
3 years ago
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