9514 1404 393
Answer:
- absolute error: 0.4 kg
- relative error: 6.1%
Step-by-step explanation:
The absolute error is the difference between the estimate and the actual weight:
7.0 kg -6.6 kg = 0.4 kg . . . . absolute error
__
The relative error is the ratio of the absolute error to the actual weight:
(0.4 kg)/(6.6 kg) × 100% = 6.060606...% ≈ 6.1% . . . . relative error
Answer:
a. 1/6
Step-by-step explanation:
for a, there is only one side that has three
Christopher needs to create so that his time spent will be the same as his current time, the equation could be: 2.4x = 1.2x + 15
base = 5
height = 4
hypotenuse = sqrt ( 5^2 +4^2) = sqrt(25+16) = sqrt(41)
5+4 = 9
so perimeter = 9+ sqrt(41)
answer is the 3rd one.
(a)
since 13 is prime.
(b)
, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so
.
(c)
; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with
.
(d)
; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so
.