Answer:

Step-by-step explanation:
step 1
<em>Calculate the volume of the cylinder (flower vase)</em>
The volume is equal to

we have
-----> the radius is half the diameter

substitute the values
------> exact value
step 2
Calculate 2/3 of the volume

Answer: x= -1
y= -2
Step-by-step explanation:
-4x+3y= -2
y=x-1
-------------------
-4x+3(x-1)= -2
-4x+3x-3= -2
-x=1
x= -1
y=-1-1
y=-2
Should be 7 feet. 6+6=12 then 26-12=14, divide that by 2 (for the other two sides of the rectangle), you'll get 7 ft.
So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.
Answer:
The data is skewed to the bottom and contains an outlier.
Step-by-step explanation:
1. Test for outlier
An outlier is a point that is more than 1.5IQR below Q1 or above Q3.
IQR = Q3 - Q1 = 74 - 51 = 23
1.5 IQR = 1.5 × 23 = 34.5
51 - 15 = 36 > 1.5IQR
The point at 15 is an outlier.
2. Test for normal distribution
The median is not in the middle of the box.
Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.
3. Test for skewness
The longer part is to the left of the median, so the data is skewed left.