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svetlana [45]
3 years ago
6

Which property explains the step shown in solving the equation?8x − 15 + 6x = 10x − 18 ⇒ 8x + 6x − 15 = 10x − 18

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

Taybrownies1359Step-by-step explanation:

np

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In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. c
goldenfox [79]

The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

<h3>What is the standard deviation?</h3>

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have a data set:

8, 16, 14, 8, 16

As we know the formula for standard deviation is:

\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}

Here σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observation in data set.

X = (8+16+14+8+16)/5 = 12.4

n = 5

After calculating the standard deviation will be:

σ = 3.67

Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.

New standard deviation:

σ(new) = 3.67

The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ1

6 0
2 years ago
40 percent of 112.5%
lord [1]
First 112% is 1.12 divide it by 100 to get .0112 then mutiply it by 40 to get .448 so .448 is the answer. Hope this helps.
7 0
3 years ago
The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time
pickupchik [31]

Answer:

N_c \approx 5.0

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production T_w=0.25day

Average processing time is T_a=0.15 day per container

Wheel per container N_w=200

Total wheel per day D=2000

Policy variable of X=5%  

Generally the equation for Total number of container N_c is mathematically given by

N_c=DT(\frac{1+X}{N_w} )

Where

Total time T=T_w+T_a

T=0.15+0.25

Therefore

N_c=DT(\frac{1+X}{N_w} )

N_c=2000*0.40(\frac{1+0.5}{200} )

N_c=(\frac{840}{200} )

N_c=4.2

N_c \approx 5.0

Therefore the number of Kanban containers needed for the wheels is

N_c \approx 5.0

3 0
2 years ago
Please help me!! (Look at the photo)
maw [93]

Answer:

310in

Step-by-step explanation:

7×10=70

70×2=140(there are two that are the same length)

5×10=50

50×2=100(there are two that are the same length)

5×7=35

35×2=70(there are two that are the same length)

70+100=170

170+140=310

please let me know if it's correct

4 0
3 years ago
Can someone answer this plz (-2z^2-14)-(-12z^2)
Orlov [11]

Answer:

\large\boxed{(-2z^2-14)-(-12z^2)=10z^2-14}

Step-by-step explanation:

(-2z^2-14)-(-12z^2)=-2z^2-14+12z^2\qquad\text{combine like terms}\\\\=(-2z^2+12z^2)-14=10z^2-14

8 0
3 years ago
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