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valina [46]
3 years ago
8

What is the academy award figurine holding in his hands?

Mathematics
1 answer:
Valentin [98]3 years ago
5 0
I believe it is holding a crusaders sword
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The Consumer Price Index​ (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c
Mashcka [7]

Answer:

a) y = 3.8 x +100

b) Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

y=mx+b

Solution to the problem

Part a

For this case we can find the slope with the following formula:

m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}

And if we replace we got:

m =\frac{191.2-100}{2006-1982}=3.8

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

100 = 3.8(0)+b

And then b=100

So then our linear model is given by:

y = 3.8 x +100

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

y = 3.8(18) +100=168.4

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

Relative. Change =\frac{|Calculated -Real|}{Real}x100

And if we replace we got:

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

3 0
3 years ago
Which values are solutions for the intequality 5< y-8
Vanyuwa [196]

Answer:

y > 13

Step-by-step explanation:

Inequality graph:

6 0
2 years ago
Read 2 more answers
6c to te second power - 5d + 8
mina [271]
Lets see,
6c to the second power is 36c because 6c times 6c is 36 c
And since the variables are different and only one number doesn't have a variable, 
The answer would be, 36c-5d+8
7 0
3 years ago
The sum of 3 numbers is 15. two times the smallest is 1 less than the largest, while the sum of the largest and smallest is 10.
GalinKa [24]
Let x = smallest number 
      y = middle number 
      z = largest number 
Equations:
sum of 3 numbers: x + y + z = 15
two times smallest is 1 less than largest: 2x = z - 1
sum of largest and smallest is 10: z + x = 10

z + x = 10 can be solved for z ⇒ z = 10 - x
substitute into 2x = z - 1 ⇒ 2x = 10 - x - 1
                                           3x = 9
                                             x = 3 (divided both sides of equation by 3)
Since z + x = 10 ⇒ z + 3 = 10 ⇒ z = 7
Substitute values for x and z into x + y + z = 15 ⇒ 3 + y + 7 = 15
                                                                                y + 10 = 15
                                                                                y = 5
answer: 3, 5, 7
7 0
3 years ago
What would be the first step to solve the equation?
svetoff [14.1K]

Answer:

Step-by-step explanation:

Subtract 8

8 0
2 years ago
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