Answer:
3
Step-by-step explanation:
| 6-3|
Find the value inside the absolute value signs
6-3 = 3
| 3|
Means take the non negative value
|3| = 3
Answer:
0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Dinosaur
Event B: Plush.
The probability that a toy Raymond picks out of a box is a dinosaur is 75%.
This means that 
The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%.
This means that 
What is the probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur?

0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
Answer:
9/35
Step-by-step explanation:
Let x be the total trip distance.
Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.
Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.
So, Maria has driven 9/35 of the total trip.
Answer:
m<4 = 34°
Step-by-step explanation:
m<2 = 34° (given)
m<3 + m<2 = 180° (linear pair)
m<3 + 34° = 180° (substitution)
Subtract 34° from each side
m<3 = 180° - 34°
m<3 = 146°
m<4 + m<3 = 180° (linear pair)
m<4 + 146° = 180° (substitution)
Subtract 146° from each side
m<4 = 180° - 146°
m<4 = 34°
This shows that vertical angles are congruent.
m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.