Answer: x1 = 5
x2 = 1
Step-by-step explanation:
1. Identify the coefficients
2. Move the constant to the right side of the equation and combine
3. Complete the square
4. Solve for x
Answer: he used incorrect time ratio
He incorrectly concluded that she is not running fast enough
Step-by-step explanation:
We want to find a fraction that is between

There are several ways to go about this.
There are also infinitely many fractions that can be found between the given fractions.
Let us go for the one in the middle of the two fractions.
So we add the two fractions and divide by 2.
a) 
Find LCM for the numerator

Simplify:



b) 
c)
d)
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)
=> 
I guess you want to find the average speed for the whole journey
average speed = distance travelled / time
the distance from home to the shop = speed * time = 0.5*10 = 5 miles
time for travelling back = distance / speed = 5/30 = 1/6 hours
average speed for whole journey = 10 / (1/2 + 1/6) = 10 * 3 / 2 = 15 mph