What graph......................
Answer:
83.33% change
Check work:
30 x 0.8333 = 24.999
30 + 24.999 = 54.999 or about 55
X + y = 13......x = 13 - y
2x - 3y = 1
2(13 - y) - 3y = 1
26 - 2y - 3y = 1
-2y - 3y = 1 - 26
-5y = -25
y = -25/-5
y = 5
x + y = 13
x + 5 = 13
x = 13 - 5
x = 8
so, x = 8 and y = 5
Answer:
A. (-2.28, 3.38)
Step-by-step explanation:
The confidence interval of the slope :
b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (15 - 2) = 13
Tcritical = 2.160369
b = slope Coefficient = 0.54924
S.E = 1.311
Hence, we have :
Confidence interval = 0.54924 ± (2.160369 * 1.311)
Confidence interval = 0.54924 ± 2.832243759
Lower boundary = 0.54924 - 2.83224 = - 2.283
Upper boundary = 0.54924 + 2.83224 = 3.3814
The answer option is A. (-2.28, 3.38)
Answer:
B. 140
Step-by-step explanation:
A radius is a segment connecting the center of a circle to the outer perimeter of the circle. One property of radii is that all radii from the same circle are congruent. Thus, one can conclude that the triangle with the angle (C) is an isosceles triangle because its sides are radii of the same circle, thus they must be congruent.
One property of an isosceles triangle is the base angle theorem. This states that the angles opposite the congruent sides in an isosceles triangle are cognrunet. Moreover, a property of all triangles is that the sum of angles in any triangle is (180) degrees. Therefore, one can combine this information with the base angles theorem to form an equation and solve for the unknown, (C).
20 + 20 + (m<C) = 180
Simplify,
40 + m<C = 180
Inverse operations,
m<C = 140
