9189.15 ft (this is the answer and I have not rounded it)
Answer:
42w^2-20w^2+16
Step-by-step explanation:
If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Consider the first odd integer as x
Then the next consecutive odd integer = x+2
The 6 times the second integer= 6(x+2)
= 6x+12
Sum of an integer and 6 times the next consecutive odd integer is 61
Then the equation will be
x + 6x+12 = 61
Add the like terms in the equation
(1+6)x + 12 = 61
7x +12 = 61
Move 12 to the right hand side of the equation
7x = 61-12
7x = 49
x = 49/7
x = 7
The second number is
x+2 = 7+2
= 9
Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
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<u>Answer- </u>D. There is a strong negative association between the variables
<u>Solution-</u>
Properties of Correlation Coefficient
1- Its value ranges between -1 and 1.
2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.
3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.
4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.
5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)
So there is a strong negative association between the variables.
Answer: 15
Step-by-step explanation:
First step is to find the slope of the line given
y = -x - 2
y = mx + c where m is the slope of the line so the slope of the line is -1
If 2 lines are perpendicular to one another, the product of the slopes is -1 so the slope of the perpendicular line is -1/-1 = 1
y = 1x + c or y = x + c
As the line passes through the coordinate (-5,10), we can substitute the x and y value of the coordinates into the equation
10 = -5 + c
c = 15
So the equation of the line is y = x + 15
