Answer:
(2,-1.5)
Step-by-step explanation:
There are 11 points in between the two points therefore it has to be (2,-1.5)
Answer:
The sample size is
Step-by-step explanation:
From the we are told that
The population proportion is p = 0.90
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally the sample size is mathematically represented as
![n =[ \frac{ Z_{\frac{\alpha }{2} } }{E} ]^2 * p(1-p)](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%20%7D%7BE%7D%20%5D%5E2%20%2A%20p%281-p%29)
=> ![n =[ \frac{ 1.96 }{0.01} ]^2 * 0.90(1-0.90)](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B%201.96%20%20%7D%7B0.01%7D%20%5D%5E2%20%2A%200.90%281-0.90%29)
=> 
Answer:
(-2 , -3) and (0.6 , 4.8)
Step-by-step explanation:
y=3x +3
(x - 2)² + y² = 25
(x - 2)² + (3x +3)² = 25
x²-4x+4+9x²+18x+9-25=0
10x²+14x-12=0
5x²+7x-6=0
(x+2)(5x-3)=0
x = -2 or x = 3/5 (-0.6)
y = -3 or y = 4 4/5 (4.8)
Answer:
30x+15y
Step-by-step explanation:
5(6x+3y)
5*6x+5*3y
30x+15y
She runs 1/6 mile per minute.
School is 2/3 of a mile away from her home.
Rewrite 2/3 to have the same denominator as 1/6:
2/3 = 4/6
Divide distance by speed:
4/6 / 1/6 = 4/6 x 6/1 = 24/6 = 4
It will take her 4 minutes.