First we need to find the heigh of the soda can be rearanging the volume formula,

. We can make that

We know that V is 36 and radius is half of the diameter, so radius is 2.


h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is

R is 2 again and h is 2.87


12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
Step-by-step explanation:
The advantages of writing the polynomial expression
-7
+ 32x + 240 in factored form when interpreting this
situation
Factorizing the quadratic equation gives
-7
+ 32x + 240
-7
+60x - 28x + 240
x×(-7x + 60) -4 ×(-7x + 60)
(x-4)×(-7x + 60)
The roots of the equation<em> 4,-60/7</em>
<em>Advantages of writing the polynomial expression in factored </em>
- <em> we directly know the roots </em>
- <em> we can easily draw the graph of the quadratic</em>
The answer is 20.77. You add 5.25+18.99+2.99+17.50=44.73. Then subtract 44.73 - 5.50 = 39.23. And then 60 - 39.23 = 20.77.
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
B Athlete Median = 61 IQR = 2 athlete shows the most consistency in her 400- meter race because her Interquartile range variability is less compare to the others.
Step-by-step explanation:
- Median is the mid-point of the data.
- Median takes average of 25%, 50%(Median) and 75% of data.
- Box plot is an easier way to understand Mean and Median.
- Interquartile range helps in finding the variability.
- Q3(Third quartile) - Q1(First quartile) gives variability.
- The IQR number is higher it is high variability.
- Median comes in descriptive statistics, It helps in describing data.
- Median helps in finding the outliers and skewness of the data.