Answer:
the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)
Step-by-step explanation:
To find the points at which a graphic crosses the x-axis we need to find the values for x where y = 0.
Therefore, in the equation x²- xy + y² = 3 we are going to make y = 0 and solve for x
x² - xy + y² = 3
x²- x(0) + (0)² = 3
x² = 3
x = ±√3
x₁ = 1.73 and x₂ = -1.73
Therefore, the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)
Answer:
The 90 % confidence interval for the mean population is (11.176 ; 20.824 )
Rounding to at least two decimal places would give 11.18 , 20.83
Step-by-step explanation:
Mean = x`= 16 miles per hour
standard deviation =s= 4.1 miles per hour
n= 4
= 4.1/√4= 4.1/2= 2.05
1-α= 0.9
degrees of freedom =n-1= df= 3
∈ ( estimator t with 90 % and df= 3 from t - table ) 2.353
Using Students' t - test
x`±∈ * 
Putting values
16 ± 2.353 * 2.05
= 16 + 4.82365
20.824 ; 11.176
The 90 % confidence interval for the mean population is (11.176 ; 20.824 )
Rounding to at least two decimal places would give 11.18 , 20.83
Answer:
y = -3.3 then -7.1
y = -7.1 then -10.9
y = -2.6 then -6.4
y = 1 then -2.8
y = 4.2 then 0.4
Step-by-step explanation:
(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.
y = -3.3 then -3.8 + -3.3 = -7.1
y = -7.1 then -3.8 + -7.1 = -10.9
y = -2.6 then -3.8 + -2.6 = -6.4
y = 1 then -3.8 + 1 = -2.8
y = 4.2 then -3.8 + 4.2 = 0.4
A. -3 < x < 1
b. x < = 4 or x > = 6
Answer:
Area = 15.36 ft
Step-by-step explanation:
First find the area of the dotted line triangle using the formula: base x height x 1/2, which would be 1.2ft x 12.8 x 1/2 = 7.68ft.
Next, add another triangle at the top, mirroring the shown triangle, of the parallelogram.
Then, find the area of the shape as though it were a rectangle. (base x height) - 2.4 x 12.8 = 30.72.
Next, multiply the area of the invisible triangle by 2, 7.68 x 2 = 15.36ft
and Finally, subtract the area of the rectangle shape of the the sum of the two invisible triangles, 30.72 - 15.36 = 15.36ft
The area of the parallelogram is 15.36 ft.