Answer:
135°
Step-by-step explanation:
LI = LM+MI = 35+80
3/12 ; 1/6 ; 1/3
Adam must first get the least common multiple of each denominator.
12 : 12, 24, 36
6 : 6, 12, 18
3 : 3, 6, 9, 12
12 is the least common denominator.
We, then, multiply each denominator by a number that will produce 12.
12 x 1 = 12
6 x 2 = 12
3 x 4 = 12
Each number multiplied to the denominator must be the number used to multiply each numerator.
3/12 * 1/1 = 3/12
1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.
Fractions in order from least to greatest = 2/12 ; 3/12 ; 4/12
Substitute each fraction with its original fraction:
2/12 ⇒ 1/6 : least
3/12 ⇒ 3/12 : middle
4/12 ⇒ 1/3 : greatest
Answer: the probability that a measurement exceeds 13 milliamperes is 0.067
Step-by-step explanation:
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = current measurements in a strip.
µ = mean current
σ = standard deviation
From the information given,
µ = 10
σ = 2
We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as
P(x > 13) = 1 - P(x ≤ 13)
For x = 13,
z = (13 - 10)/2 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.933
P(x > 13) = 1 - 0.933 = 0.067
