Answer:
The diameter of the circle O is <em>12 units</em>
Step-by-step explanation:
There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of
and the triangle B0C is right
<u>Relations in the Circle</u>
The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.
Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r
Applying Pythagoras's theorem:
Thus we have
The diameter of the circle O is D=2(6) = 12 units
A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into
form. If everything is the same, you know it will have infinite solutions.
Answer:
7) Decay
8) Growth
9) Growth
10) Growth
Step-by-step explanation:
7) As <em>x </em>increases, <em>y </em>is decreasing because as you add more value to the exponent, 1/3 gets smaller and smaller.
8) As <em>x </em>increases, <em>y </em>is increasing because as you add more value to the exponent, 2 gets bigger and bigger.
9) As <em>x </em>increases, <em>y </em>is increasing because as you add more value to the exponent, 2 gets bigger and bigger.
10) As <em>x </em>increases, <em>y </em>is increasing because as you add more value to the exponent, 2 gets bigger and bigger.
Answer:
0.1611
Step-by-step explanation:
Uaing the binomial probability relation :
p = 0.5 ; q = 1 - p = 0.5
n = 10
Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 7) = 10C7 * 0.5^7 * 0.5^3
P(x = 7) = 0.1172
x = 8 ;
P(x = 8) = 10C7 * 0.5^7 * 0.5^3
P(x =8) = 0.0439
P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611
