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tensa zangetsu [6.8K]
4 years ago
7

A standard number cube is rolled once, what is the probability that the upturned face is three or less?

Mathematics
1 answer:
kow [346]4 years ago
7 0

Answer:

1/2

Step-by-step explanation:

3 or less is half the numbers on the cube.

3/6 simplifies to 1/2

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2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .
professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor \frac{2}{3} and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)

or

(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)

or

(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )

Now,  

for R = (2,1)  

the image R' = (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )

⇒ R' = (\frac{5}{3} , \frac{1}{3})  

For S = (2, -2) ,

the image S'=  (\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

⇒ S' = (\frac{5}{3} , -\frac{5}{3})

and For T = (-1, -2)

The image T' =  (\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} ) or

(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )

⇒ T' = (\frac{-1}{3} , \frac{-5}{3})

Now, label the image of RST on the graph as shown below in the attachment:

5 0
3 years ago
The number 512 is a perfect cube because 512 = 83.
alexgriva [62]

Step-by-step explanation:

the number which is a perfect cube :

125, because 125 = 5³

3 0
3 years ago
Read 2 more answers
Length width height equals to 62, what is the maximum volume
joja [24]
Assuming that the given shape is a cuboid, 

volume=l×w×h

v=s³ (since cuboids have same length, they have same side length) 

62=s³
∛62=s 
s=3.957 ≈ 4 units 


Hope I helped :) 
4 0
3 years ago
What is the area of a circle with the diameter of 8
Mars2501 [29]
Area = πr^2
π4^2 =16π
=50.3
5 0
4 years ago
Read 2 more answers
I really need assistance with this question
Nastasia [14]

Answer:

first

Step-by-step explanation:

Lumen

Managerial Accounting

Chapter 5: Cost Behavior and Cost-Volume-Profit Analysis

5.6 Break – Even Point for a single product

Finding the break-even point

A company breaks even for a given period when sales revenue and costs charged to that period are equal. Thus, the break-even point is that level of operations at which a company realizes no net income or loss.

A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss. To illustrate the calculation of a break-even point watch the following video and then we will work with the previous company, Video Productions.

Before we can begin, we need two things from the previous page: Contribution Margin per unit and Contribution Margin RATIO. These formulas are:

Contribution Margin per unit = Sales Price – Variable Cost per Unit

Contribution Margin Ratio = Contribution margin (Sales – Variable Cost)

Sales

Break-even in units

Recall that Video Productions produces DVDs selling for $20 per unit. Fixed costs

6 0
3 years ago
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