Answer:
Option B
Step-by-step explanation:
As per the question:
The variance of the 48 Econ 202, = 16 inches
The variance of 63 Econ 203 = 14 inches
Now, to test the variance of two populations:
For 48 Econ 202:
For 63 Econ 203:
On comparing the two, the test statistics is given by;
F = 
F = 
Step-by-step explanation:
ABC be the given isosceles right triangle such that <B = 90° , side AC is the hypotenuse; and, AB= BC
Then, (AB)^2 + (BC)^2 = (AC)^2…. Pythagoras theorem.
(AC)^2 = 98 sq. cm. ( given)
So, (AB)^2 + ((BC)^2 = 98
But, AB = BC = a ( say) …. ( given)
Therefore, a^2 + a^2 = 98
Or, 2a^2 = 98.
So, a^2 = 98 / 2 = 49
Hence, a = AB = BC = √49 = 7 cm.
The side AC ( the hypotenuse) = √98 = √(7 *7*2)
= 7 *√2 = 7* 1.414 = 9..898cm., say, 9.9 cm.
Hence, the three sides of the right isosceles triangle are 7 cm, 7cm and ~ 9.9 cm. Answer
<h2>please mark me as brainlist please </h2>
The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².
The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines
b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°) ⇒ b = 96√3 cm
Call b the base of this triangle.
The vertex angle is 120°, so the other two angles have measure θ such that
120° + 2θ = 180°
since the interior angles of any triangle sum to 180°. Solve for θ :
2θ = 60°
θ = 30°
Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find
tan(30°) = h / (b/2) ⇒ h = 48 cm
Then the area of the triangle is
1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²
and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:
3072π cm² - 2304√3 cm² ≈ 5660.3 cm²
Answer:
So its pretty simple
The table provided the Xs so you can just substitute the x in the eqaution becuase the eqaution gives you Y and your looking for Y.
For the first one
-3/4*-16+3=y
12+3=15
So Y is 15
DO the same for the others
Also I think your rate of change is wrong, I think it’s -3/4 but your choice really, I might be wrong
Answer:
Multiply by Four. x4
12/3
16/4
24/6
36/9
40/10
Step-by-step explanation:
