Answer:
See attached picture and description below.
Step-by-step explanation:
Graph each equation as you would graph any linear function. Plot the y-intercept for the first equation at (0,5) then move down 0.5 units and to the right 1 unit. This is the right boundary and should be plotted with an open circle. (red graph.
The second equation should be graphed starting at the y-intercept (0,-2.5) then proceeding down 0.5 units and over 1 unit to the right. (blue graph)
See graph below for complete graph.
Answer:
B
Step-by-step explanation:
Consider an event A happening. If we do not have enough data to estimate its actual probability, we may choose a range 0.6 to 0.9 as a first case which indicates we are quite sure it will most likely occur. If however, we have enough data, we may estimate a range of 0.7 to 0.8 as a second case that is more certain on its actual likelihood of occurrence.
Say the actual probability of the event is given as 0.75, in the first case, we can infer the probability interval as 0.75 ± 0.15 (as 0.75-0.15=0.6 and 0.75+0.15=0.9 for the lower and upper bounds respectively). In the second case, we can infer the probability interval as 0.75±0.05 (as 0.75-0.05=0.7 and 0.75+0.05=0.8 for the lower and upper bounds respectively).
Thus, we can see that with more certainty of the event happening (with more data in this case), the probability or prediction intervals are lower.
Hence, in the experiment, we will observe a narrower prediction interval for researcher A who has more (twice as many points) data than researcher B who has fewer points.
Answer
11a = 11
a = 1
Step-by-step explanation:
Answer:
There are 5 black counters in the bag.
Step-by-step explanation:
15 green counters in the bag
The proportion of green counters is given by:

So, we have that, the total is x. So


There are 30 total counters.
How many black counters are in the bag ?
A sixth of the counters are black. So

There are 5 black counters in the bag.