Answer:
Step-by-step explanation:
Given
P(A or B)= P(B)-P(A and B)
P(A)=1/3
P(A and B)=1/8
P(A or B)= 3/4
Required
Find P(B)
To find P(B), all we need to do is to substitute values of P(A or B) and P(A and B) in the given equation.
This goes thus;
P(A or B) = P(B) - P(A and B) becomes
Make P(B) the subject of formula
Take L.C.M
Add fractions
From the workings above, the value of P(B) using the given equation is
Answer/Explanation:
Without the expressions given, answer by referencing these steps.
4 = 4/1
When multiplying fractions, multiply both numerators and both denominators to get the answer.
In the answer, you may simplify if there are common factors in both the top and bottom number. In this case, 12 and 5 do not have a common factor and is already in the most simplified form.
Answer:
1. ∠ABD = 20°.
2. Arc AB = 140°.
3. Arc AD = 40°.
Step-by-step explanation:
Given information: ∠ADB = 70°. BD is diameter.
According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
By Central angle theorem,
Using angle sum of property in triangle ADB we get,
.
Draw a line segment AO.
In triangle AOD, AO=OD, so
Using angle sum property in triangle AOD,
Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.
Therefore length of arc AB is 140°.
