Bret paid $12 as sales tax.
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
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Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false
Answer: I. True
II. True
III. True
Step-by-step explanation:
Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:
1. discrete
2. continuous.
In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.
In a uniform probability distribution, both the mean and standard deviation can be derived from the minimum and maximum values, P(x) remains constant, and the shape of the distribution is rectangular. All statements are true.
The answer to your questions:
i. For any uniform probability distribution, the mean and standard deviation can indeed be computed by knowing the maximum and minimum values of the random variable. So, this is true. The mean is the average of the maximum and minimum, and the standard deviation can be calculated from the range (max-min).
ii. In a uniform probability distribution, P(x) is indeed constant between the distribution's minimum and maximum values. This means that every value has the same likelihood of occurring, which is what makes it 'uniform'. So, this is true.
iii. The uniform probability distribution's shape is indeed a rectangle. This is because all outcomes are equally likely, resulting in a graph that is flat, or rectangular-shaped. Hence, this is also true.
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The image (A'B'C'D') of ABCD , in Option C cannot be produced using only reflection.
Image is the copy of a figure made along the axis.
The figure attached as two figures , object and image ,the image has some transformation done to it
Figure 1 , option 1 :
In the figure
Object Coordinates :
ABCD : ( -6 ,4) , (-6,6) , (-2,6) , (-4,4)
A'B'C'D' : ( 6,-4) , (6,-6) , (2,-6) , (4,-4)
Figure 2 :
Object Coordinates :
ABCD : ( -6 ,4) , (-6,6) , (-2,6) , (-4,4)
A'B'C'D' : ( 4 , -6) , (6,-6) , (6,-2 ) , (4,-4)
Figure 3
Object Coordinates :
ABCD : ( -6 ,4) , (-6,6) , (-2,6) , (-4,4)
A'B'C'D' : ( 6 , -6) , (6,-4) , (2,-4 ) , (4,-6)
Figure 4
Object Coordinates :
ABCD : ( -6 ,4) , (-6,6) , (-2,6) , (-4,4)
A'B'C'D' : (4 , 6) , (6,6) , (2,6 ) , (4,4)
As all the image formed is just by reflection except of Option C , Figure 3.
Therefore Option C is the answer.
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