Answer:
x = 20
<ACD = 113
Step-by-step explanation:
Exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle
There for,
<CAB + <ABC = <ACD
Size of the <ACD
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:
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Answer:
-8 and 6
Step-by-step explanation:
Coordinate of point M = -1
Distance between M and a point N = MN = 7
Therefore, the possible coordinates of N can either be:
To the left => -1 - 7 = -8
Or
To the right => -1 + 7 = 6
Check:
If M = -1, and N = -8, MN = |-1 -(-8)| = |-1 + 8| = 7
Or
If M = -1, and N = 6, MN = |-1 - 6| = |-7| = 7
So, our answer is right.
Possible coordinates of point N are -8 and 6
B 3 m
C square root 12 m
D square root 18 m
HELP HELP HELp Due by the end of class
Answer: -5, 6
Step-by-step explanation:
Answer: n=-5
Step-by-step explanation:
Answer:
N=-5
Step-by-step explanation:
N - 4 = 3n + 6
Add 4 to both sides
n-4+4=3n+6+4
Simplify
n=3n+10
subtract 3n from both sides
n-3n=3n+10-3n
Simplify
-2n=10
Divide -2 from both sides
-2n/-2=10/-2
Simplify
n=-5