Answer:
Step-by-step explanation:
31.32≤24.72+1.32x≤52.12
31.32−24.72≤24.72−24.72+1.32x≤52.12−24.72
6.6≤6.61.32≤1.32x≤27.41.32x1.32≤27.41.32
5≤x≤20.76
The property owner can use 5–20 hcf and still fall within the Conservation Usage billing range.
Answer:
If each side of pentagon is doubled then its perimeter will also be doubles. The new perimeter is 30 feet.
Step-by-step explanation:
Let the length of all five sides of pentagon = <em>v, w, x, y</em>, and <em>z</em>.
Perimeter of pentagon = Sum of lengths of its all five sides = (<em>v + w + x + y + z</em>) = 15 feet
If each side of pentagon is doubles then,
New perimeter of pentagon = (2<em>v + </em>2<em>w + </em>2<em>x + </em>2<em>y + </em>2<em>z</em>)
= 2 (<em>v + w + x + y + z</em>)
= 2 (15)
= 30 feet
Therefore, if each side of pentagon is doubled then its perimeter will also be doubled.
Answer:
Test statistics = 2.29
P-value = 0.01101
Step-by-step explanation:
We are given that a survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke.
Let Null Hypothesis, 
: p = 0.18 {means that the percentage of students who smoke has remained same at 18% over the last five years}
Alternate Hypothesis, 
: p > 0.18 { means that the percentage of students who smoke has increased over the last five years}
The test statistics used here will be ;
T.S. = 
~ N(0,1)
where, 
= sample proportion of students = 50/200 = 0.25
n = sample size = 200
So, test statistics = 
= 2.29
Now, P-value is given by = P(Z > 2.29) = 1 - P(Z <= 2.29)
= 1 - 0.98899 = 0.01101 or 1.101 %
Therefore, P-value of the test is 0.01101 .
I believe A. but Major guess tho
3^2*3^2 (2x+3)=3^2+4x+6=3^4x+8
3^3*3^x-2=3^x+1
4x+8=x+1
3x=-7
x=-7/3
