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%.
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Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
Answer:
The absolute value of a number is the distance of the number from zero on the line. The line has always values increasing from left to right. Right side is greater than the left side.
Every absolute value has two numbers on the line like absolute value of 1 has two points, one is 1 and the other is -1. Hence the absolute value of 1.75 also has two numbers on the line one is 1.75 and other is -1.75.
So the point 1.75 can be found on the right side of zero at a distance of 1.75 and in the middle of point 1.5 and 2. Again -1.75 point can be found at the left side of zero at a distance of 1.75 and in the middle of -1.5 and -2.
Note: Refer the image attached. The Red colour marks in the image attached shows the location of both numbers on the number line.
Answer:
-1.75 and 1.75
Step-by-step explanation:
The absolute value is the distance that certain number has from it's position to the number 0.
There are only two numbers that have a distance of 1.75 to the number 0: -1.75 and 1.75.
The location on the graph must be marked on the line that is between -1.5 and -2, and between 1.5 and 2.
Answer:
Kevin makes $12.50 per hour.
Step-by-step explanation:
If Kevin works 6.5 hours on Monday and 5 hours on Tuesday, he works a total of 11.5 hours. Over 11.5 hours he makes $143.75. To find your answer, you have to divide your total earned, 143.765, by the total time worked, 11.5 hours. Your answer should then be 12.5, which is the amount per hour kevin earns.
grade 7 math
This is because the given value is closer to 9,000 than it is to 10,000.
The digit in the thousands place is 9. The digit to the right of this is 0, which is not 5 or greater. So we round down to the nearest thousand. So basically everything after the 9 is replaced with 0.