Answer:
11
Step-by-step explanation:
Solution for this problem is in this picture.
Answer:
The likelihood that he or she has a pet given that a student does not have a sibling is:
Option: D ( 60%)
Step-by-step explanation:
Let A denote the event that a student does not have a sibling.
Let B denote the event that a students has a pet.
Then A∩B denotes the event that the student does not have a sibling but has a pet.
Let P denote the probability of an event.
Then, we are asked to find:
P(B|A)
We know that:

Also from the table we have:
P(A)=0.25
and P(A∩B)=0.15
Hence,

which in percentage is:

Hence, the likelihood is:
60%
According to the law of cosines:

.
Substituting all the values we know and finding

using a calculator, we have:

We discard the negative solution clearly.
Answer: b=9 units
Answer:
57.6
Step-by-step explanation:
Answer: The measure of Angle 2 = 148°
Step-by-step explanation:
Given: The measure of Angle 2 is twelve less than five times the measure of Angle 1.
Let the measure of Angle 1 = x
Then, measure of Angle 2 = 5x-12
Since both the angles form linear pair, so their sum = 180° [linear pair of angles must add up to 180°.]
Then, x+ (5x-12) = 180
⇒ x+ 5x-12= 180
⇒ 6x-12= 180
⇒ 6x= 180+12
⇒ 6x= 192
⇒ x= 32 [divide both sides by 6 ]
So, measure of Angle 2 = 5(32)-12 = 160-12 = 148°
Hence, the measure of Angle 2 = 148°