Answer:
C
Step-by-step explanation:
A) 258 x 8145 + 6 = 2101416
And
258 x 8145 = 2101416
So it is NOT the answer because 258 x 8145 + 6 is not 6times than the value of 258 x 8145
B) 6435 x (75452 + 4) =485559360
And
6435 x 75452 = 485533620
So it is NOT the answer beacuse 6435 x (75452 + 4) is not 4 more than the value of 6435 x 75452
D) 9,035 x (432 − 3) = 3876015
AND
9,035 x 432 = 3903120
So it is NOT the answer because 9,035 x (432 − 3) is not 3 less than the value of 9,035 x 432
THE ANSWER IS C BECAUSE :
7,684 − 4,322 = 3362
AND
2 x (7,684 − 4,322) = 6724
And when we do
6724 ÷ 3 =3362
So 7,684 − 4,322 is half value of 2 x (7,684 − 4,322)
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]
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10
7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640
Answer:
84 cubic feet
Step-by-step explanation:
First, multiply the numbers to get the volume.
5 2/5 * 4 2/3= 25 1/5
25 1/5 * 4 4/9= 112
Then, we can find 3/4 of that.
112*3/4=84.