Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%
Step-by-step explanation:
Since the nightly cost of hotels in a certain city is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the nightly cost of hotels.
µ = mean cost
σ = standard deviation
From the information given,
µ = $180.45
σ = $24.02
The probability that a hotel in the city has a nightly cost of more than $200 is expressed as
P(x > 200) = 1 - P(x ≤ 200)
For x = 200,
z = (200 - 180.45)/24.02 = 0.81
Looking at the normal distribution table, the probability corresponding to the z score is 0.79
Therefore,
P(x > 200) = 1 - 0.79 = 0.21
The percentage of hotels in the city have a nightly cost of more than $200 is
0.21 × 100 = 21%
Answer:
Angle 1: 95 degrees
Angle 2: 85 degrees
Angle 3: 95 degrees
Step-by-step explanation:
Vertical angles are opposite and equal so in this case angle 1 and 3 are vertical and so are 2 and 85°
So that means angle 2 also equals 85 degrees and because of supplementary angles the other angle must add up to equal 180 degrees
85 + ? = 180
?=95
So both angle 1 and 3 equal 95 degrees
Edward started his hike at an elevation of 115 feet below sea level. Throughout the hike he ascended 3,200 feet and then descended 676 feet. How much did his elevation change?
115+676=791
3200-791= 2409
his elevation changed by 2409 ft
The answer you're looking for is s=6.
by substitution you'd get 6.
Answer:
|-45|
Step-by-step explanation:
In mathematics, the absolute value of a real number is the numeric value of the number, regardless the sign, either this is positive or negative.
The absolute value function can be definied as:
- |a|=a si a ≥0
- |a|=-a si a <0
Using this definition, we have:
|-21| = -(-21) = 21
|14| = 14
|30| = 30
|-45| = -(-45) = 45
Therefore, the expression |-45| has the greatest value.
