The modal class is 70 - 80 and the mean speed is 66.4
<h3>How to determine the modal class?</h3>
The table of values is given as:
Speed Frequency
40 - 50 10
50 - 60 16
60 - 70 19
70 - 80 23
80 - 90 12
The modal class is the class with the highest frequency
The class 70 - 80 has the highest frequency of 23
Hence, the modal class is 70 - 80
<h3>How to determine the mean?</h3>
Rewrite the frequency table to include the class midpoints
x f
45 10
55 16
65 19
75 23
85 12
The estimate of the mean speed is then calculated as:
![\bar x =\frac{\sum fx}{\sum f}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%5Cfrac%7B%5Csum%20fx%7D%7B%5Csum%20f%7D)
So, we have:
![\bar x = \frac{45* 10 + 55 * 16 + 65 * 19 + 75 * 23 + 85 * 12}{80}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B45%2A%2010%20%2B%20%2055%20%2A%2016%20%2B%2065%20%2A%2019%20%2B%2075%20%2A%2023%20%2B%2085%20%2A%2012%7D%7B80%7D)
Evaluate
![\bar x = 66.4](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%2066.4)
Hence, the mean speed is 66.4
Read more about mean and mode at:
brainly.com/question/14532771
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How long it takes: Allow approximately 30 minutes for every pound of turkey. A 15-pound bird will take about 7½ to 8 hours to thaw completely.
(6 + 2)^3 - 4.3
= 8^3 - 12
= 512 - 12
= 500
Answer:
x=23
Step-by-step explanation:
FInd the length of the hypotenuse
4.8+19.2=24
Then make it a ration
24/19.2=x/18.4
Cross multiply
19.2x=(24)(18.4)
19.2x=441.6
x=441.6÷19.2
x=23
Answer:
The volume in terms of π is 144 ft³
The volume rounded to the nearest tenth is 452.4 ft³
Step-by-step explanation:
The formula of the volume of a cone is V =
π r² h , where r is its radius and h is its height
The formula of the area of a circle is A = π r²
∵ The area of the base of the cone is 36π ft²
- Equate the formula of the area of the circle by 36π to find r
∵ πr² = 36π
- Divide both sides by π
∴ r² = 36
- Take √ to both sides
∴ r = 6 ft
∵ The height of the cone is equal to twice the radius
∵ The radius of the cone is 6 ft
- Multiply 6 by 2 to find the height
∴ h = 2(6) = 12 ft
∴ The height of the cone is 12 ft
Substitute the values of h and r in the formula of the volume of the cone to find it
∵ V =
π(6)²(12)
∴ V = 144 π ft³
∴ V = 452.3893421 ft³
- Round it to the nearest tenth
∴ V = 452.4 ft³