Your inequality is (x being number of people):
175≥35+10x+3x
First, combine like terms so your new inequality is:
175≥35+13x
Then subtract 35 from both sides which makes it:
140≥13x
then divide 140 by 13 making it:
<span>10.769≥x
</span>But because you can't have .769 of a person the actual answer is 10
then you have to subtract 1 because he isn't including himself and there is the answer!:
9≥x
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
P = principal (initial amount), r = rate of interest, and t = time
So, A = 3000(1+0.025)^4
Answer: $3,311.44 (approximately)
Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean, 
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
