45 ÷ 5 = 9
so you would take 6 and multiply it by 9
so you would get 54 as you answer
The third choice
If you have a negative exponent n^-6 it becomes 1/n^6
And 1 times p^3 is equal to p^3
So the correct answer is p^3/n^6
Answer:
a)
<u>The angle formed by intersecting chords is half of the sum of the intercepted arcs:</u>
- 1/2(mST + mPR) = m∠PUR
- 1.2(74° + mPR) = 77°
- 74° + mPR = 2*77°
- mPR = 154° - 74°
- mPR = 80°
b)
<u>The angle formed by two tangents is the half of the difference of the intercepted arcs:</u>
- m∠PSR = 1/2(mPTR - mPR)
- m∠PSR = 1/2(247° - (360° - 247°))
- m∠PSR = 247° - 180°
- m∠PSR = 67°
Step-by-step explanation:
given a slope and a point that the line passes through you have 2 options
Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)
Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
