The answer is 20. You have to use the Pythagorean theorem (A^2+B^2=C^2) to find the length of the hypotenuse.
32^2+24^2=C^2
1024+576=C^2
1600=C^2
Take the square root of both sides
40=C
Since the midpoint is the middle, you divide the length of the hypotenuse by 2 and get the answer (20)
Step-by-step explanation:
Supplementary angles are angles that sum up to 180°.
Since Angles O and P are supplementary,
Angle P = 180° - Angle O = 180° - 157° = 23°.
1/4 times 1/4 equals how much? This is the equation:
1/4 * 1/4 = ?
Multiply:
1/4 * 1/4 = 1/16
Answer:
a= 1/2 and b= 1/2
Step-by-step explanation:
The given probability can be expressed in the form of binomial expansion where a= p and b= q
Therefore a= 1/2 and b= 1/2
For n= 8 trials the binomial expansion can be written as
[ p+q] ^n = [ 1/2+1/2]^8
=(1/2)^0(1/2)^8 +8C1(1/2)^7(1/2)+8C2(1/2)^6(1/2)^2+8C3(1/2)^5(1/2)^3+8C4(1/2)^4(1/2)^4+8C5(1/2)^3(1/2)^5+8C6(1/2)^2(1/2)^6+8C7(1/2)(1/2)^7+8C8(1/2)^0(1/2)^8
=
1(1/2)^0(1/2)^8 +8(1/2)^7(1/2)+28(1/2)^6(1/2)^2+56(1/2)^5(1/2)^3+70(1/2)^4(1/2)^4+56(1/2)^3(1/2)^5+28(1/2)^2(1/2)^6+8(1/2)(1/2)^7+1(1/2)^0(1/2)^8
=
1/(2)⁸ { 1+ 8+28+56+70+56+28+8+1}
= 1/(2)⁸ {256}
= 1
The total probability is always 1.
Also P+q= 1
1/2+1/2= 1
33 years old would be correct