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Anarel [89]
2 years ago
6

Find the domain and range of the relation. {(3,-2) (2,1) (-1,0) (1,3)}

Mathematics
1 answer:
svp [43]2 years ago
5 0
The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
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Answer this question!!!!!!!​
Vesnalui [34]

The expression can represent the value of x in terms of R, m, n and k after rearranging.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

\rm R = 4m\sqrt{\dfrac{xn}{k^3}}

Square both side:

\rm R^2 = 16m^2{\dfrac{xn}{k^3}}

16m² x n = R²k³

x = (R²k³)/(16m²n)

The above expression represents the value of x in terms of R, m, n and k.

Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

8 0
2 years ago
Real Estate One conducted a recent survey of house prices for properties located on the shores of Tawas Bay. Data on 26 recent s
Ivanshal [37]

Answer:

Step-by-step explanation:

Hello!

Given the data for the variables:

Y: Selling price of a house on the shore of Tawas Bay

X₁: Number of bathrooms of a house on the shore of Tawas Bay.

X₂: Square feet of a house on the shore of Tawas Bay.

X₃: Number of bedrooms of a house on the shore of Tawas Bay.

The multiple regression model is Y= α + β₁X₁ + β₂X₂ + β₃X₃ + εi

a. Using software I've entered the raw data and estimated the regression coefficients:

^α= a= -5531.01

Represents the mean selling price of the houses when 0 bathrooms, 0 square feet and 0 bedrooms.

^β₁= b₁= -1386.21

Represents the modification of the mean selling price of the houses when the number of bathrooms increases in one unit and the square feet and number of bedrooms remain unchanged.

^β₂= b₂= 60.28

Represents the modification of the mean selling price of the houses when the square feet increase in one unit and the number of bathrooms and bedrooms remain unchanged.

^ β₃= b₃= 54797.08

Represents the modification of the mean selling price of the houses when the number of bedrooms increase in one unit and the number of bathrooms and square feet of the houses remain unchanged.

^Y= -5531.01 -1386.21X₁ + 60.28X₂ + 54797.08X₃

b)

R²= 0.55

R²Aj= 0.49

The coefficient of determination gives you an idea of how much of the variability of the dependent variable (Y) is due to the explanatory variables. Each time you add another explanatory variable to the regression the coefficient increases regarding of real contribution of the new variable. This could lead to thinking (wrongly) that the new variables are good to explain the dependent variable.  

The adjusted coefficient of determination is a correction made to the raw coefficient of determination to have a more unbiased estimation of the effect the independent variables have over the dependent variable.

⇒ As you can see both coefficient are around 50%, which means that these explanatory variables

c)

The standard error estimate, this is the estimate of the population variance of the errors. In the ANOVA is represented by the Mean Square of the errors (MME)

Se²= MME= 3837640577.01

Se= 61948.6931

d) and f)

For the hypotheses tests for each slope the t- and p-values are:

α: 0.05

β₁: t_{H_0}= \frac{b_1-\beta_1 }{Sb_1} t= -0.06; p-value: 0.9528 ⇒ Do not reject H₀, the test is not significant.

β₂: t_{H_0}= \frac{b_2-\beta_2 }{Sb_2} t= 2.56; p-value: 0.0180 ⇒ Reject H₀, the test is significant.

β₃: t_{H_0}= \frac{b_3-\beta_3 }{Sb_3} t= 2.28; p-value: 0.0326 ⇒ Reject H₀, the test is significant.

e)

H₀: β₁= β₂= β₃

H₁: At least one βi is different from the others ∀ i=1, 2, 3

α: 0.05

F= 9.03

p-value: 0.0004

⇒ Reject H₀, the test is significant.

I hope it helps!

5 0
3 years ago
Deborah needs fabric for her costume. she buys 3.25 yards of material at $5.87 a yard What is the total cost of the fabric? Roun
iren2701 [21]

Answer:

19.08

Step-by-step explanation:

just multiply and round to get 2 decimals

6 0
3 years ago
A mathematical sentence that involves the sign ≥ is —
sveticcg [70]
The awnser is d inequality.
6 0
3 years ago
Read 2 more answers
There are 56 eggs that need to be packaged in cartons. Each carton holds 12 eggs. How many eggs will be left over after the eggs
Keith_Richards [23]
56 is in between 48 and 60 (12*4 and 12*5). The largest whole number it can be put into is 4. 56-48 equals 8 eggs left.
4 0
3 years ago
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