Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
Answer:
9.21954445729
Step-by-step explanation:
use distance formula
Answer:( c ) 1.414
Step-by-step explanation:
Let m be mean
M=mean=sum/n
M= (16+19+18+17+20+18) / 6
M=108/6
M=18
Let start finding:
The standard deviation formula is= sqrt( Summation of |x-m|^2 / n-1)
|x-m|^2
For 1st: |16-18|^2=4
For 2nd: |19-18|^2=1
For 3rd: |18-18|^2=0
For 4th: |17-18|^2=1
For 5th: |20-18|^2=4
For 6th: |18-18|^2=0
Summation of |x-m|^2 =10
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(10 / 5)
S.D=sqrt(2)
S.D= 1.414
This number has to be read with its whole part first (twenty-three) and then its decimal part (one hundreth), so the complete sentence to read this number is twenty-three and one hundredth.
Answer: D. Twenty-three and one hundredth
140%
Step-by-step explanation: