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3 years ago

Number 384

2 answers:

8 0

30 tens
90 is the greatest number of tens
sorry i dont know the numerals question i'll keep trying and let you know if i find it out

Artemon [7]3 years ago

7 0

The answer would be 10

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Please help this quiz is worth a lot of point

sergiy2304 [10]

Answer:

YZ = 1

XY = 1.5

XYZ 1.33

Step-by-step explanation:

5 0

2 years ago

Triangles are similar. solve for x

stepan [7]

Answer:

Value of x = 7/5

Step-by-step explanation:

Given:

ΔVUW ≅ ΔUST

Find:

Value of x

Computation:

We know that;

ΔVUW ≅ ΔUST

So,

VU = US (By CPCT)

So,

5x + 11 = 18

5x = 7

Value of x = 7/5

3 0

2 years ago

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

Y = -5x – 40<br> Y = 5.2<br> What the answer for substitution

Luda [366]

Since y is 5.2 you can substitute it in your equations 5.2 = -5x - 40 then you do things like normal add 40 in both sides and divide -5 in both sides you get 9.04

6 0

3 years ago

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Tju [1.3M]

Answer:

Option 3) The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

Step-by-step explanation:

We are given the following in the question:

$\hat{y}(x) = 50.57+0.4845x$

The above equation is a linear regression equation to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

$\hat{y}$ : The dependent variable, Exam 3 score

x: The independent variable, Exam 1 score

Comparing to general linear equation,

$y = mx + c$

We get,

m = 0.4845, c = 50.57

where

c is the y - intercept and the score in exam 3 when exam score is 0.

$\hat{y}(0) = 50.57+0.4845(0)\\\hat{y}(0) = 50.57$

m is the slope and tells us about the rate of change.

When exam 1 grade is increased by 1, we can write,

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1)-\hat{y}(x) = 50.57+0.4845(x+1)-( 50.57+0.4845x)\\\hat{y}(x+1)-\hat{y}(x) = 0.4845(x+1-x)\\\hat{y}(x+1)-\hat{y}(x) = 0.4845$

Thus, the y-intercept for the given equation can be interpreted as

Option 3) The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

6 0

3 years ago

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