Answer:
x = 5±sqrt(3)
Step-by-step explanation:
(x-5)^2=3
Take the square root of each side
sqrt((x-5)^2)=±sqrt(3)
x-5 = ±sqrt(3)
Add 5 to each side
x-5 +5= 5±sqrt(3)
x = 5±sqrt(3)
Answer:
There are 24,572 men.
Step-by-step explanation:
Let men = m, let women = w.
m + w = 53,444
w = 4300 + m
m + (4300 + m) = 53,444
m + m + 4300 = 53,444
2m + 4300 = 53,444
2m = 53,444 - 4300
2m = 49144
m = 49144/2
m = 24,572
Answer:
The correct answer is 25 units.
Answer:
(14, 22)
Explanation:
The amount of time that customers have to wait for their food is normally distributed with:
• Mean = 18 minutes
,
• Standard deviation = 4 minutes.
The Empirical Rule
For normal distributions, the empirical rule states that:
• 68% of observed data points will lie inside one standard deviation of the mean.
,
• 95% will fall within two standard deviations
,
• 99.7% will occur within three standard deviations.
By the empirical rule, 68% of observed data points will lie inside one standard deviation of the mean.
Therefore, the interval of minutes that the middle 68% of customers have to wait is:
The interval is (14, 22).
The length of the ramp is 61 feet.
<h3>What is the length of the ramp?</h3>
In order to determine the length of the ramp, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
√11² + 60²
√121 + 3600
√3721
= 61 feet
Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675