27.08.2020

Find the sum of 0.5 and -0.5.

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24.06.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by PhD

Amswer

The answer is 0

Mathematics
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P Answered by Specialist

See explanation

Step-by-step explanation:

The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.

A similar question that can be found online is:

8x - 8 = 4x + 12 --- to solve for x

First, collect all like terms

8x - 4x = 8 + 12

Distribute the expression on the left-hand side

x(8 - 4) = 8 + 12

x * 4 = 8 + 12

Simplify like terms

x * 4 = 20

Divide both sides by 4

x = 5

Mathematics
Step-by-step answer
P Answered by Master
Hello there.

Do the levels of fear in children change over time? If so, in what ways? Very little research has been done on the prevalence and persistence of fears in children. Researchers surveyed a group of third and fourth grade children and asked them to rate their level of fear about a variety of situations. After two years the children again completed the same survey. The researchers calculated the mean fear rating for each child in both years and were interested in the relation between these ratings. The least-squares regression line for the data, with 89 mean fear ratings as the explanatory variable and 91 mean fear ratings as the response variable, is given below. 

Dependent variable is 91 means 

R squared = 27.4% 

S = 0.2374 with 94 ? 2 = 92 degrees of freedom
Variable Coefficient s.e. of coefficient t-ratio P-value
Constant 0.877917 0.1184 7.42 ¡Ü 0.0001
89 means 0.397911 0.0676 5.89 ¡Ü 0.0001
Approximately what is a 95% confidence interval for the slope of the least squares regression line?

D. (0.33, 0.47) 
Mathematics
Step-by-step answer
P Answered by Master
Hello there.

Do the levels of fear in children change over time? If so, in what ways? Very little research has been done on the prevalence and persistence of fears in children. Researchers surveyed a group of third and fourth grade children and asked them to rate their level of fear about a variety of situations. After two years the children again completed the same survey. The researchers calculated the mean fear rating for each child in both years and were interested in the relation between these ratings. The least-squares regression line for the data, with 89 mean fear ratings as the explanatory variable and 91 mean fear ratings as the response variable, is given below. 

Dependent variable is 91 means 

R squared = 27.4% 

S = 0.2374 with 94 ? 2 = 92 degrees of freedom
Variable Coefficient s.e. of coefficient t-ratio P-value
Constant 0.877917 0.1184 7.42 ¡Ü 0.0001
89 means 0.397911 0.0676 5.89 ¡Ü 0.0001
Approximately what is a 95% confidence interval for the slope of the least squares regression line?

D. (0.33, 0.47) 
Mathematics
Step-by-step answer
P Answered by Specialist
The answer is 13.5. Click on the photo to see how.
Find the sum of -0.15 + (-0.85) + 12.5
Mathematics
Step-by-step answer
P Answered by Master
The answer is 13.5. Click on the photo to see how.
Find the sum of -0.15 + (-0.85) + 12.5
Mathematics
Step-by-step answer
P Answered by Specialist

a.    \hat{amount} \ \hat{ spent}  = -91.67 - (229.47* ownhome)-(604.90 * close) +(0.02216 * salary) + (42.62 * catalogs)

b.    the expected amount spent by Amy is $1144.47

c.    the expected amount that Brenda is going to spend is $1749.37

Step-by-step explanation:

(a)

From the regression output; the equation for the regression model can be written as:

\hat{amount} \ \hat{ spent}  = -91.67 - (229.47* ownhome)-(604.90 * close) +(0.02216 * salary) + (42.62 * catalogs)

From the information given in the question;

(b)

Amy does not own a home but rent; the variables given also stated that ;

Own Home = 1 if customer owns home, 0 if renting

So for Amy ; Own Home = 0 (since it is rented)

Close = Yes(1)

Salary = $60,000

Catalogs = 12

Therefore;

the mean amount spent by Amy is by using the regression model is  ;

\hat{amount} \ \hat{ spent}  = -91.67 - (229.47* 0)-(604.90 * 1) +(0.02216 * 60000) + (42.62 * 12)

\hat{amount} \ \hat{ spent}  = -91.67 -0-604.90 +1329.6 + 511.44

\hat{amount} \ \hat{ spent}  =1144.47

Thus;  the expected amount spent by Amy is $1144.47

(c)

If Brenda has the same characteristics as Amy but does not live close to store with similar merchandise.

Then the Close for Brenda will be = No (0)

Thus; the amount spent by Brenda will be:

\hat{amount} \ \hat{ spent}  = -91.67 - (229.47* 0)-(604.90 * 0) +(0.02216 * 60000) + (42.62 * 12)

\hat{amount} \ \hat{ spent}  = -91.67 -0-0 +1329.6 + 511.44

\hat{amount} \ \hat{ spent}  = 1749.37

Thus, the expected amount that Brenda is going to spend is $1749.37

Mathematics
Step-by-step answer
P Answered by Specialist

a.    \hat{amount} \ \hat{ spent}  = -91.67 - (229.47* ownhome)-(604.90 * close) +(0.02216 * salary) + (42.62 * catalogs)

b.    the expected amount spent by Amy is $1144.47

c.    the expected amount that Brenda is going to spend is $1749.37

Step-by-step explanation:

(a)

From the regression output; the equation for the regression model can be written as:

\hat{amount} \ \hat{ spent}  = -91.67 - (229.47* ownhome)-(604.90 * close) +(0.02216 * salary) + (42.62 * catalogs)

From the information given in the question;

(b)

Amy does not own a home but rent; the variables given also stated that ;

Own Home = 1 if customer owns home, 0 if renting

So for Amy ; Own Home = 0 (since it is rented)

Close = Yes(1)

Salary = $60,000

Catalogs = 12

Therefore;

the mean amount spent by Amy is by using the regression model is  ;

\hat{amount} \ \hat{ spent}  = -91.67 - (229.47* 0)-(604.90 * 1) +(0.02216 * 60000) + (42.62 * 12)

\hat{amount} \ \hat{ spent}  = -91.67 -0-604.90 +1329.6 + 511.44

\hat{amount} \ \hat{ spent}  =1144.47

Thus;  the expected amount spent by Amy is $1144.47

(c)

If Brenda has the same characteristics as Amy but does not live close to store with similar merchandise.

Then the Close for Brenda will be = No (0)

Thus; the amount spent by Brenda will be:

\hat{amount} \ \hat{ spent}  = -91.67 - (229.47* 0)-(604.90 * 0) +(0.02216 * 60000) + (42.62 * 12)

\hat{amount} \ \hat{ spent}  = -91.67 -0-0 +1329.6 + 511.44

\hat{amount} \ \hat{ spent}  = 1749.37

Thus, the expected amount that Brenda is going to spend is $1749.37

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