Corrected Question
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72
Answer:
(Proved)
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Let the event that she catches the bus to the shop=A
Let the event that she catches the bus from the shop=B
P(A)=0.4
P(B)=0.7
Both A and B are independent events.
Therefore,Probability that she catches the bus to and from the shop:
P(A∩B) = 0.4 X 0.7= 0.28
Probability Sue walks at least one way ![P(A \cup B) = 1 - P(A \cap B)](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%201%20-%20P%28A%20%5Ccap%20B%29)
![= 1 - 0.28\\= 0.72](https://tex.z-dn.net/?f=%3D%201%20-%200.28%5C%5C%3D%200.72)
Hence, the probability that Sue walks at least one way is 0.72.
Answer:
Option 4 is correct.
Step-by-step explanation:
Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.
The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.
The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.
The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.
If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.
The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.
Therefore, the correct option is 4.
Answer:
6"
Step-by-step explanation:
6'2" - 5'6" = 0'6"
Answer:
y = ![\frac{1}{2}x + 3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
Step-by-step explanation:
The equation for a linear graph is usually written in the following format...
y = mx + b
Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...
y = ![\frac{1}{2}x + 3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
So,
Optimally, we want a number between 1 and 10 multiplied by a power of ten.
If we move the decimal place 6 places to the right, we get 6.
So we want
![10^{-6}](https://tex.z-dn.net/?f=10%5E%7B-6%7D)
.
The correct option is C.