Using the distance formula, the distance from:
School to Library (SL) = 5 units.
Library to Park (LP) = 10 units.
<h3>What is the Distance Formula?</h3>
To calculate the distance between two points on a coordinate plane, the distance formula used is: 
.
Given the coordinates of each location as:
- School, S = (0, 4)
- Library, L = (4, 1)
- Park, P = (-4, -5)
Distance from School to Library (SL):
SL = √[(4−0)² + (1−4)²]
SL = √[(4)² + (−3)²]
SL = √25
SL = 5 units
Distance from Library to Park (LP):
LP = √[(4−(−4))² + (1−(−5))²]
LP = √[(8)² + (6)²]
LP = √100
LP = 10 units
Learn more about the distance formula on:
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Answer:
The confidence interval is -5.3444 to 6.453 .
Step-by-step explanation:
We are given that In a survey of 458 likely voters, 254 said that they would vote "yes" on the referendum.
So, n = 458
x = 254
We will use sample proportion over here
Confidence level = 95% = 0.95
Level of significance = 1-0.95 = 0.05
z value at 0.05 significance level = 1.96
Formula of confidence interval : 
to 
Confidence interval : 
to 
Confidence interval : 
to 
Hence The confidence interval is -5.3444 to 6.453 .
Answer: $438To solve this equation, you cross multiply. I first subtracted 17.5 from 100 in order to get the percentage value that $361.35 was of its original price. Since 100 - 17.5 = 82.5, the washing machine is 82.5% of its original price.
I cross multiplied by writing
, and multiplying
and
. The result was
. This becomes $438. There is no rounding needed to be done.
You haven't shared all of the possible answers. The graph you've shared has a y-intercept of 4, which differs from the y-intercept of <span>y=−1/2x+8.
Go on to the other 3 possible answers. Which answer shows a y-intercept of 8 and a slope of -1/2?</span>
Answer:
For any time period less than 2 hours Ian will charge less than Grayson
....
Step-by-step explanation:
We have given that:
Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee
The equation we get is:
45h + 15 ≤ 35h + 35
Combine the like terms:
45h-35h ≤ 35-15
10h ≤ 20
Divide both sides by 10
10h ≤ 20/10
h ≤ 2
At 2 hours the charge is the same for both services.
For any time period less than 2 hours Ian will charge less than Grayson
....
