The mathematical expression of the given complex number above is -5 + 4i. The conjugate of this complex number is that which has an opposite operation. The given is an addition operation. That is -5 - 4i. Therefore, the answer is the third among the choices.
Volume of the mug: PI r^2 (h)
R ====> Radius
H ====> Height
Radius of mug is:
7 / 2 * 1 / 2 b
===> 3.5cm^3
volume of mug:
===> 3.5^2 * PI r^2 * 9
===> 346 cm^3
20 ice cubes ===> 20 cm^3 is needed:
substract:
20 cm^3 - 346
===> 326 cm^3
The volume of the mug is the area of its base; The mug's height, or πr^2 h. This is; 3.5 cm * 3.5 cm. · 9 · π, or 346.2 cm3. The volume of each ice cube is 1 cubic centimeter, so 20 of them will occupy 20 cm^3.
Answer: This leaves 326 cm^3 for the coffee.
Hope that helps!!!! : )
Answer:
The correct option is;
Construct a circle from point R with the radius RP
Step-by-step explanation:
To draw a tangent, the following steps are required
1) A line is drawn connecting the point to the center of the circle to which the tangent is to be drawn
2) The perpendicular bisector of the line constructed to get the mid point of the line
3) From the midpoint of the line found in the step above the compass is adjusted to reach the center of the given circle and a circular arc is drawn across the circumference of the given circle
4) The point of intersection of the arcs and the circumference of the given circle are the tangent points
Therefore, the correct option is to construct a circle from point R with the radius RP.
Answer:
a) P(2) = 0.2646
b) P(x > 2) = 0.5334
c) P( 2 <= x < = 5) = 0.7694
Step-by-step explanation:
n = 10
p = 0.27
q = 0.73
x = 10
P(x=0) = (10 C 0 )(0.27^0)(0.73^(10-0)) = 0.043
P(x=1) = (10 C 1 )(0.27^1)(0.73^(10-1)) = 0.159
P(x=2) = 0.2646
P(x=3) = 0.2609
P(x=4) = 0.1689
P(x=5) = 0.075
P(x=6) = 0.0231
P(x=7) = 0.0049
P(x=8) = 0.000677
P(x=9) = 0.0000557
P(x=10) =0.00000206
a) P(2) = 0.2646
b) P(x > 2) = P(3) + P(4) + P(5) + ... + P(10) = 0.5334
c) P( 2 <= x < = 5) = P(2) + P(3) + P(4) + P(5) = 0.7694