Answer:
Option (A).
Step-by-step explanation:
is a mixed fraction and can be written as,
[Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[Distributive property → a(b + c) = a×b + a×c]
Therefore, will be the answer.
Option (A) will be the correct option.
Answer:
Perimeter = 32.44 units
Area = 30 square units
Step-by-step explanation:
Given
Vertices
A(2,8), B(16,2) and C(6,2)
WE have to determine the lengths of all sides before finding the perimeter and area.
The formula of modulus is:
So the perimeter is:
Using hero's formula,
Rounding off will give us 30 square units ..
Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
<em>A</em> = Thomas bumps into Madeline at school
<em>B</em> = Thomas call Madeline on the phone
<em>X</em> = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:
The law of total probability states that:
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
Compute the value of P (B|X) as follows:
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.