12 it's adds ×÷2 ( 8÷2=4) and then add the two numbers (8&4)
Step-by-step explanation:
Radius is half of the diameter
Circumference is 2*pi*radius
Area is pi*radius^2
So r (radius)= 10.3
C (circumference)=64.72
and A (area)=333.29
feel free to ask more questions :)
Answer:
- temperature is decreasing as time passes
- x-axis
- hot drink temperature (°C)
Step-by-step explanation:
1. Each value of temperature is lower than the one previous, so we can say the temperature is decreasing. We also notice that the rate of decrease is getting smaller, possibly because the temperature is approaching a horizontal asymptote.
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2. The horizontal axis, where temperature is plotted, is conventionally called the x-axis.
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3. The label on the vertical axis is "temperature" and the graph title is "cooling a hot drink ...", so we presume the dependent variable is the temperature of a hot drink.
Answer:
![P(A|B)=\frac{2}{3}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7B2%7D%7B3%7D)
![P(A)*P(B)=\frac{1}{3}](https://tex.z-dn.net/?f=P%28A%29%2AP%28B%29%3D%5Cfrac%7B1%7D%7B3%7D)
![P(A) =\frac{2}{3}](https://tex.z-dn.net/?f=P%28A%29%20%3D%5Cfrac%7B2%7D%7B3%7D)
.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So
![P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}](https://tex.z-dn.net/?f=P%20%28A%5C%20and%5C%20B%29%20%3D%20%5Cfrac%7B2%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So
![P(A) = \frac{4}{6} = \frac{2}{3}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B4%7D%7B6%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
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Now
![P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}](https://tex.z-dn.net/?f=P%28A%20%7C%20B%29%3D%5Cfrac%7BP%28A%20%5C%20and%5C%20B%29%7D%7BP%28B%29%7D%5C%5C%5C%5CP%28A%20%7C%20B%29%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5CP%28A%7CB%29%3D%5Cfrac%7B2%7D%7B3%7D)
![P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}](https://tex.z-dn.net/?f=P%28A%29%2AP%28B%29%3D%5Cfrac%7B2%7D%7B3%7D%2A%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B3%7D)