Answer:
Step-by-step explanation:
(x+3)(x-3)
x squared and -9 are both square numbers.
the square root of x^2 is x
the square root of -9 is 3. so you just need to write (x+3)(x-3)
you can check by expanding the brackets and the middle x terms should cancel out
Answer:
x<4
Step-by-step explanation:
x/2-3<-1
Add 3 to each side
x/2-3+3<-1+3
x/2 < 2
Multiply each side by 2
x/2*2 <2*2
x<4
If i'm correct you should add 0.5 mL to your 1 gallon tank, and I would say about 1.25 mL to your 2.5 gallon. It will not be extreme if you end up putting a little more in than you are supposed to. I'm not 100% because i haven't slept so my brain is being slow.
Answer:
With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 37
sd = 10
n = 44
degree of freedom = n - 1 = 44 - 1 = 43
t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165
E = t × sd/√n = 2.0165×10/√44 = 3.04
Lower limit = mean - E = 37 - 3.04 = 33.96
Upper limit = mean + E = 37 + 3.04 = 40.04
95% confidence interval is between 33.96 and 40.04
