Answer:
In A Certain City, 30 Percent Of The People Are Conservatives 50 Percent Are Liberals, And 20 Percent Are Independents. Records Show That In A Particular Election, 65 Percent Of The Conservatives Voted, 82 Percent Of The Liberals Voted, And 50 Percent Of The Independents Voted. (This City Must Be In Canada!) If A Person In The City Is Selected
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Step-by-step explanation:
Answer:
(x + 9)² = 36
Step-by-step explanation:
Given
x² + 18x + 57 = 12 ( subtract 57 from both sides )
x² + 18x = - 45
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(9)x + 81 = - 45 + 81
(x + 9)² = 36
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :

Put all the values,

So, the value of r is equal to 7.33 units.
192 people were survey
Step-by-step explanation:
The given is:
- 85% of the people survey thought the price of the car wash was reasonable
- 164 people thought the cost of the car wash was reasonable
We need to find how many people were survey
Assume that x people were survey
∵ There were x people survey
∵ 85% of them thought the price of the car wash was reasonable
∴ The number of the people who thought the price of the car wash
was reasonable = 85% × x
∵ 85% =
= 0.85
∴ The number of the people who thought the price of the car wash
was reasonable = 0.85 x
∵ 164 people thought the cost of the car wash was reasonable
- Equate 0.85 x and 164
∴ 0.85 x = 164
- Divide both sides by 0.85
∴ x = 192.94
∵ x represents a number of people, then it must be integer
∴ The number of people were survey = 192
192 people were survey
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Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403
Talja [164]
Answer:
The answer is OPTION (D)log(y)=0.326x+0.687
<h2>
Linear regression:</h2>
It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)
The Linear regression equation for the transformed data:
We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.
(1, 13) 1.114
(2, 19) 1.279
(3, 37) 1.568
(4, 91) 1.959
(5, 253) 2.403
X Y Log(y)
1 13 1.114
2 19 1.740
3 37 2.543
4 91 3.381
5 253 4.226
Sum of X = 15
Sum of Y = 8.323
Mean X = 3
Mean Y = 1.6646
Sum of squares (SSX) = 10
Sum of products (SP) = 3.258
Regression Equation = ŷ = bX + a
b = SP/SSX = 3.26/10 = 0.3258
a = MY - bMX = 1.66 - (0.33*3) = 0.6872
ŷ = 0.3258X + 0.6872
The graph is plotted below:
The linear regression equation is log(y)=0.326x+0.687
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