choosing a blue marble does not represent the complement event of choosing a red marble because 2/5 ≠ 4/5.
<u>Step-by-step explanation:</u>
There are 2 blue marbles, 1 red marble, and 2 purple marbles.
The total number of marbles ⇒ 2 blue + 1 red + 2 purple = 5 marbles.
<u>To find the probability of choosing a blue marble :</u>
P (blue) = No.of blue marbles / Total marbles
⇒ 2 / 5
<u>To find the complement event of choosing a red marble :</u>
- Complement of an Event is defined as all the outcomes that are NOT the event.
- So the Complement of an event is all the other outcomes (not the ones we want).
Complement of choosing red ⇒ P (not getting red marble)
P (not getting red marble) = No.of marbles other than red / Total marbles
⇒ 4 / 5
Therefore, P(blue) is not equal to P(not getting a red).
⇒ 2/5 ≠ 4/5
So, choosing a blue marble does not represent the complement event of choosing a red marble.
What is 5/8 written as a decimal?
5/8 = 5 : 8 = 0.625
Answer:
42 cubic units
Step-by-step explanation:
3 x 21 x 2
1/7 = -3/2w -4/5
add 4/5 to both sides
1/7 + 4/5= -3/2w
change to common denominator; 5 & 7 go into 35
(1*5)/35 + (4*7)/34= -3/2w
5/35 + 28/35= -3/2w
33/35= -3/2w
divide by -3/2 on both sides; multiply by the reciprocal of -3/2
33/35 * -2/3= w
-66/105= w
simplify by 3
-22/35= w
CHECK:
1/7 = -3/2w - 4/5
1/7= -3/2(-22/35) - 4/5
1/7= 66/70 - 4/5
1/7= 66/70 - 56/70
1/7= 10/70
1/7= 1/7
ANSWER: w= -22/35
Hope this helps! :)
Exercise 3
3z-1/10^5
3z-1/100000
