Answer:
x=5
i just got it right on my quiz
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
Answer:
24 months
Step-by-step explanation:
Lifespan with z-score of -3 in the the set of normally distributed life spans of an appliance can be calculated using the equation:
where
- X is the lifespan we are looking for
- M is the mean life span of the appliance (48 months)
- s is the standard deviation of the distribution of the life spans (8 months)
We have
that is
-24=X-48 and
X=24 months.
The life span of an appliance that has a z-score of -3 is 24 months.