Answer:
b
Step-by-step explanation:
Minimum sample size for estimating the population proportion of pine trees over 90 years old in a forest near where you live with <em>margin of error</em> no more than 2% can be calculated using the equation:
n≥ p×(1-p) × 
where
- p is the proportion of pine trees over 90 years old in a forest near where you live
- z is the corresponding z-score for the confidence level
- ME is the margin of error in the estimation (2% or 0.02)
<h2>
Answer:</h2>
<h3>
<em>x=45degrees</em></h3>
<h2>
Step-by-step explanation:</h2>
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
Answer:
The answer is infinitely many.
Step-by-step explanation:
6x+1=2(3x-2)+5
6x+1=6x-4+5
6x+1=6x+1
6x=6x+0
6x=6x
The result is the same. Therefore, every number is an answer.
The correct answer is actually A because $2.50 is a cost per hour the skates are rented for. Hope this makes sense.
Answer:
B
Step-by-step explanation:
Use the definition of a logarithm, log
b
(
x
)
=
y ⟹ b
y
=
x
, to convert from the logarithmic form to the exponential form.
10^
4
=
x
