Answer:
(a) P(A1 ∪ A2) = 0.35
Step-by-step explanation:
(a) A1 ∪ A2 :
We start by defining the events.
A1 : '' awarded project 1''
A2 : ''awarded project 2''
A3: ''awarded project 3''
In set theory we write the union of events A and B as A∪B.
A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.
The probability is given by the equation :
P(A∪B) = P(A) + P(B) - P(A∩B) (1)
Where the event (A∩B) is the event where A and B occur at the same time
and P(A∩B) is the probability of (A∩B)
Using the equation (1) :
P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)
P(A1 ∪ A2) = 0.22 + 0.25 - 0.12
P(A1 ∪ A2) = 0.35
The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.
<h3>What is the number of hours it would take Nada to drive?</h3>
Average speed is the total distance travelled per time.
Average speed = total distance / total time
Time = total distance / average speed.
Time if she drives 150 miles = 150 / 60 = 2.5 hours
Time if she drives 180 miles = 180 / 60 = hours
2.5 ≤ x ≤3.
To learn more about average speed, please check: brainly.com/question/21734785
Answer:
1.) 4 7/15
2.) 2 3/8
3.) 4 7/10
4.) 2 1/3
Step-by-step explanation:
1.) 1 4/5 + 2 2/3
3 + 4/5 + 2/3
LCD = 15
3 + 12/15 + 10/15
3 + (12 + 10)/15
3 + 22/15
3 + 1 7/15
4 7/15
2.) 5 7/8 - 3 1/2
(5 x 8 + 7)/8 - 3 1/2
47/8 - 3 1/2
47/8 - (3 x 2 + 1)/2
47/8 - 7/2
LCD = 8
47/8 - 28/8
19/8
2 3/8
3.) 1 1/2 + 3 1/5
4 + 1/2 + 1/5
LCD = 10
4 + 5/10 + 2/10
4 + (5 + 2)/10
4 7/10
4.) 7 5/6 - 5 1/2
(7 x 6 + 5)/6 - 5 1/2
47/6 - 5 1/2
47/6 - (5 x 2 + 1)/2
47/6 - 11/2
LCD = 6
47/6 - 33/6
(47 - 33)/6
14/6
7/3
2 1/3
Answer:
27 • (3y + 2)
Step-by-step explanation:
27 • (3y + 2)
Hope this helps
Answer:
X=35
Step-by-step explanation:
simplify 7/9
x/45-7/9=0
simplify x/45
x - (7 • 5)/45= x - 35/45
x-35/45=0
add 35 to both sides
x=35
I tried it's hard to write it all out on here i just to give u the best sorry :)
