Answer:
Step-by-step explanation:
1. System A is consistent and independent and unique solution
2. System B: inconsistent and no solutions
3. System C: consistent and dependent and infinite many solutions
Answer:
1/12
Step-by-step explanation:
Probability of 4 = 1/6
Probability tail = 1/2
Multiply them
Answer:
1/12
Step-by-step explanation:
Probability of 4 = 1/6
Probability tail = 1/2
1/6 x 1/2 = 1/12
The probability that a randomly selected traveller who checks work email also uses a cell phone to stay connected is 57.5%.
The probability that someone who brings a laptop on vacation also uses a cell phone to stay connected is 70%.
If the randomly selected traveller checked their work email and brought a laptop, the probability that he/she uses a cell phone to stay connected is 58.8%.
We have,
Let:
C = Check work email
P = Use a cell phone to stay connected
L = Bring a laptop
Given information:
P(C) = 0.40 (Probability of checking work email)
P(P) = 0.30 (Probability of using a cell phone to stay connected)
P(L) = 0.25 (Probability of bringing a laptop)
P(C ∩ P) = 0.23 (Probability of both checking work email and using a cell phone to stay connected)
P(Neither) = 0.50 (Probability of neither checking work email, using a cell phone to stay connected, nor bringing a laptop)
Additional information:
P(C | L) = 0.84 (Probability of checking work email given that a laptop is brought)
P(P | L) = 0.70 (Probability of using a cell phone to stay connected given that a laptop is brought)
a. For the value of P(P | C), use the conditional probability formula:
P(P | C) = P(C ∩ P) / P(C)
P(P | C) = 0.23 / 0.40
P(P | C) = 0.575
b. For the value of P(P | L), use the conditional probability formula:
P(P | L) = P(P ∩ L) / P(L)
P (P | L) = 0.70
c. For the value of P(P | C ∩ L), use the conditional probability formula:
P(P | C ∩ L) = P(C ∩ P ∩ L) / P(C ∩ L)
Since we don't have the direct probability of P(C ∩ P ∩ L), we can use the information provided:
P(C | L) = 0.84
P(P | C ∩ L) = P(C | L) × P(P | L)
P(P | C ∩ L) = 0.84 × 0.70
P(P | C ∩ L) = 0.588
Thus, The probability that a randomly selected traveller who checks work email also uses a cell phone to stay connected is 57.5%.
The probability that someone who brings a laptop on vacation also uses a cell phone to stay connected is 70%.
If the randomly selected traveller checked their work email and brought a laptop, the probability that he/she uses a cell phone to stay connected is 58.8%.
Learn more about probability here:
#SPJ12
Pls I’m 9 years old plsssssssssssss
Answer:
Step-by-step explanation:
(4 + 9x)^3 represents "the cube of the sum of 4 and 9 times x"
and if we divide by "the product of 5 times x and the difference of x and 1," we get
(4 + 9x)^3
-----------------------
5x(x - 1)
What exactly do you need to know, or to do?
Answer: 3.5 m/s
Step-by-step explanation:
5+2=7
7/2= 3.5