Answer:
Difference between the distances traveled by Mary and Kate = 226 feet
Step-by-step explanation:
By applying Pythagoras theorem in right ΔDEF,
(DE)² + (EF)² = (DF)²
By substituting DE = 264 feet and EF = 900 feet
(264)² + (900)² = (DF)²
DF = √(69696+810000)
= √879696
= 937.92
Distance traveled by Kate diagonally = 938 feet
Distance traveled by Mary = DE + EF
= 264 + 900
= 1164 feet
Difference between the distances traveled by Mary and Kate = DF - (DE + EF)
= 1164 - 937.92
= 226.07
≈ 226 feet
200$ because if you do 2000dovided by 10 then it will equal=200 so loook 200x10=2000 so 1/10=200
Answer:
Step-by-step explanation:
∠UST=2 m∠2
10x+10=2(6x-1)
10x+10=12x-2
12x-10x=10+2
2x=12
x=6
m∠UST=10×6+10=70°
Answer:
Well we know that it's a linear because it has a exponent so what we do to answer this question
Step-by-step explanation:
------
- b+ v. b2 -4ac
x= ____________
2a
x2+ 12x +20 =0
a=1
b=12
c=20
_______
X= -12+v 12 2 -4 • 1 • 20
___________________
2•1
Answer:
A sample of 997 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is of:
A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So
Rounding up:
A sample of 997 is needed.
