Answer:
A.
mean = 724.2
Median = 715
Mode = 768
B.
Range = 85
Standard deviation = 29.30
C.
Interval = [665.6, 782.8]
Step-by-step explanation:
Number of samples n = 25
Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105
A.
1. Mean = 18105/25
= 724.2
2. Median is the middle value when arranged from the least value to the highest = 715
3. Mode is the number with the highest frequency = 768 (occured two times)
B.
1. Range = highest value - lowest value
Highest value = 772
Lowest value = 687
772-687 = 85
2. Standard deviation = √(X-barX)²/n-1
= √20604/25-1
=√858.5
= 29.30
Please check attachment for the full calculation of the standard deviation
C.
Interval
[Mean - 2(sd), mean + 2(sd)]
= [724.2-2x29.3, 724.2+2x29.3]
=[665.6, 782.8]
Answer and Step-by-step explanation:
The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:
-18x² - 15x + 3 = 0
into
(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0
6x² + 5x - 1 = 0
And that gives the "swapped signs".
Answer: 78 pounds
Explanation: if 1 kilogram is 2.2 pounds, just multiply the weight in kg by 2.2:
35.4 x 2.2 = 77.88
Round to nearest whole: 78.
So the dog is 78 pounds
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:

Where r is the radius and h is the height.
Volume of the cone A:

Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

Then:

Divide
by
:

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
Answer:
−
6
x + 3
Step-by-step explanation:
hope that helps :)