Answer:
Step-by-step explanation:
2000x5=10,000
Answer:
The IQR of the data set is 4.5
Step-by-step explanation:
Given:
10 13 15 12 12 4 12 17
12 13 15 18 10 11 20 19
Now, to determine the IQR (interquartile range) of this data set.
So, <em>we need to set the data in numerical orders:</em>
4 10 10 11 12 12 12 12
13 13 15 15 17 18 19 20
Now,<em> we split this in half and get the medians of both half:</em>
<u>4 10 10 11 12 12 12 12 </u> Median 1 = 11.5
<u>13 13 15 15 17 18 19 20 </u> Median 2 = 16
Getting the medians of both half now we subtract the median 1 from median 2:
IQR = 16 - 11.5
IQR = 4.5.
Therefore, the IQR of the data set is 4.5
Find the length of the line from A to C, which would be the radius using the distance formula:
Distance = √(-5 +1)^2 + 1+2)^2)
Distance = √(4^2 + 3^2)
Distance = √25
Distance = 5
The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2, where h and k is the center point X and y values and r is the radius.
The center of the circle is located at A ( -1,-2) and the radius is 5.
Replace h, k and r with those values:
(x - (-1))^2 + (y- (-2))^2 = 5^2
Simplify to get:
(x+1)^2 + (y+2)^2 = 25
Experimental probability = 1/5
Theoretical probability = 1/4
note: 1/5 = 0.2 and 1/4 = 0.25
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How I got those values:
We have 12 hearts out of 60 cards total in our simulation or experiment. So 12/60 = (12*1)/(12*5) = 1/5 is the experimental probability. In the simulation, 1 in 5 cards were a heart.
Theoretically it should be 1 in 4, or 1/4, since we have 13 hearts out of 52 total leading to 13/52 = (13*1)/(13*4) = 1/4. This makes sense because there are four suits and each suit is equally likely.
The experimental probability and theoretical probability values are not likely to line up perfectly. However they should be fairly close assuming that you're working with a fair standard deck. The more simulations you perform, the closer the experimental probability is likely to approach the theoretical one.
For example, let's say you flip a coin 20 times and get 8 heads. We see that 8/20 = 0.40 is close to 0.50 which is the theoretical probability of getting heads. If you flip that same coin 100 times and get 46 heads, then 46/100 = 0.46 is the experimental probability which is close to 0.50, and that probability is likely to get closer if you flipped it say 1000 times or 10000 times.
In short, the experimental probability is what you observe when you do the experiment (or simulation). So it's actually pulling the cards out and writing down your results. Contrast with a theoretical probability is where you guess beforehand what the result might be based on assumptions. One such assumption being each card is equally likely.
Answer:
First find out how many kilometers per hour
12 kilometers divided by 4 hours = 3 kilometers per hour
3 kilometers times 6 hours = 18 kilometers
Step-by-step explanation:
