Answer:
Layota
$47.5
Step-by-step explanation:
Let number of hours = x
Given that:
Oscar's charges :
First hour = $25
Additional hours = $15
Thus :
Total charge : 25 + 15(x - 1)
The piece wise equation given for Layota's charge rate :
First 3 hours = $30
Next 3 hours = $20
Hours greater Than 6 = $10
If total hours ; x = 5.5 hours
Oscar :
$25 + $15(5.5 - 1)
$25 + $15(4.5)
$25 + $67.5
= $92.5
Layota:
First 3 hours :
$30 * 3 = $90
Hours left :
$20 * (5.5 - 3)
$20 * 2.5 = 50
Total = $90 + $50 = $140
Layota charges more : 140 > 92.5
Difference :
$140 - $92.5
= $47.5
C. $693.33. Just round. It helps. Round 2,080 to 2,100. Then whats 30% of 2,100? It's easy just think of 21 divided by 3, which equals 7. So, 700 and the closest answers to that is $693.33. That's just the easy way instead of doing the math out. And it is also common sense that B or D wouldn't be it. So your left with C or A. :)
I think they’re perpendicular lines
Answer:
See below
Step-by-step explanation:
1) x=2-1
x=1
2) (x+1)(x+1)=2(x+1)
3) 10x-20 -11 = 4+3x
10x-3x=20+11+4
7x=35
x=5
Answer:
The minimum sample size is 
Step-by-step explanation:
From the question we are told that
The confidence interval is 
The margin of error is 
Generally the sample proportion can be mathematically evaluated as



Given that the confidence level is 98% then the level of significance can be mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table
The value is

Generally the minimum sample size is evaluated as
![n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20%5Cr%20p%20%281-%20%5Cr%20p%20%29)
![n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%202.33%7D%7B0.1%7D%20%5D%5E2%20%2A%20%200.475%281-%200.475%20%29)
