Answer:
C. No, more than one output value x is assigned to the input y-value
Step-by-step explanation:
Given
х у
-3 -2
3 6
0 7
1 7
2 4
3 - 1
Required
State if the table shows x as a function of y
x being a function of y means
i.e. x represents the output while y represents the input of the function
Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established
Having said;
Next step: We have to examine the x and y column
In the y column, the value 7 occurred twice (as shown below)
<em>х у
</em>
<em>0 7
</em>
<em>1 7
</em>
<em />
This implies that;
Input 7 gives output of 0 and 1.
<em>Hence, this is not a function.</em>
<em>Option C answers the question.</em>
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Answer:
B) 0.0073 mm/s
Step-by-step explanation:
The rate of change of area is the product of the circumference and the rate of change of radius:
dA/dt = C·dr/dt
dr/dt = (dA/dt)/C
Of course, C = 2πr, so ...
dr/dt = (7 mm²/s)(2π·152 mm) ≈ 7/955.04 mm/s ≈ 0.0073 mm/s
