#5
X varies directly as y, and x = 153 when y = 9. Find x when y = 13.
2 answers:
Answer:
The value of x is 221 when k = 17 and y = 13.
Therefore the Option (C) is correct .
Step-by-step explanation:
As given
x varies directly as y.
x = ky
Where k is the constant of proportionality.
As given
x = 153 when y = 9
Put in the above
153 = 9k
k = 17
Now Find out the value of x when k = 17 and y = 13.
x = ky
x = 17 × 13
x = 221
The value of x is 221 when k = 17 and y = 13.
Therefore the Option (C) is correct .
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4500 feet
Step-by-step explanation:
We can begin by finding x using the tangent rule;
The tangent of the angle = the length of the opposite side / the length of the adjacent side
Tan 35 = 3500 / x
X = 3500 / tan 35
X = 3500 / 0.7
X = 5000
Now that we have x we can calculate the value of ? using the same tangent rule;
Tan 42 = ? / 5000
? = tan42 * 5000
? = 0.9 * 5000
? = 4500
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For more on trigonometry check out;
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The regression equation of Y on X is given by the following formula:
Where byx is given by the formula:
Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.
The table of values is:
The values we need to know are on the following table:
By replacing the known values in the formula we obtain:
Now, the average of X and Y is the sum divided by N, then:
Replace these values in the formula and find the regression equation as follows:
The answer is a) y=4.6x+28.26
