Answer: 74.5% of the measurements fall within one standard deviation of the average.
Step-by-step explanation:
The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420
If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be
21 ± 0.23
The lower limit is 20.77 mm
The upper limit is 21 + 0.23 = 21.23 mm
The number of measurements that fall within this range are
20.8 × 40
20.9 × 76
21.0 × 80
21.1 × 65
21.2 × 52
The total number of measurements that fall within this range is
40 + 76 + 80 + 65 + 52 = 313
The percentage of the measurements that fall within one standard deviation of the average is
313/420 × 100 = 74.5%
Answer:
Equilateral triangle implies each angle is 60 degree.
And any median is the altitude.
So, NT perpendicular LM, where T is the midpoint of [ML];
We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;
LT = a / 2 );
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4
;
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a;
But, a = 8;
h ≈ 0,866 * 8 ≈ 6,928;
Step-by-step explanation:
The answers is 4960 because 97×50=4860 so 9810-4860= 4960
Y = 3x
Proof:
3(1) = 3
3(3) = 9
5. 9(3) = 27
6. 27(3) = 81
7. 81(3) = 243
The 7th term is 243.
Answer:
Step-by-step explanation:
To find the first five terms
we come with a1
a(n) = a1 +(n-1)d
a(17) = a1 +(17-1)6=71
So a1=71-96= <u>-25 </u>
first five terms:
a1= -25
a(2) = -25 +(2-1)6=<u>-19</u>
a(3) = -25 +(3-1)6=<u>-13</u>
a(4) = -25 +(4-1)6=<u>-7</u>
a(5) = -25 +(5-1)6=<u>-1</u>
<u>hope it helps</u>
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